288796
The angles of a triangle are in the ratio of 3 : 5 : 7. What is the measure of the largest interior angle of the triangle?
1 18°
2 48°
3 84°
4 96°
Explanation:
84° Sum of the interior angles = 180° Let 3x, 5x and 7x be the three angles of the triangle. 3x + 5x + 7x = 180° 15x = 180° x = 12° Largest interior angle = 7 × 12° = 84°.
16. UNDERSTADNING ELEMENTARY SHAPES
288797
An angle which measures 0° is called
1 Obtuse
2 Straight
3 Zero
4 Right
Explanation:
Zero An angle which measures 0° is called zero angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288798
If one angle at a point is reflex angle, the other at that point may be :
1 Acute angle
2 Obtuse angle
3 Straight angle
4 Acute or obtuse angle
Explanation:
Acute or obtuse angle Angle formed at a point is 360°. When one of angle is reflex it range from 180° to 360°. If angle is 200° then the other angle is 160°, i.e obtuse angle. If one reflex angle is 300° then other angle is 60° i.e acute angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288802
A point within an equilateral triangle, where perimeter is 18m, is 1m from one side and 2m from another side. Its distance from the third side is:
1 \(3\sqrt{3} + 3\)
2 \(3\sqrt{3} - 3\)
3 \(3 - \sqrt{3}\)
4 \(3 + \sqrt{3}\)
Explanation:
\(3\sqrt{3} - 3\) Join the point to all the vertices of the triangle, such that it divides them into three parts and the distance from the third side is x meters. Perimeter of equilateral triangle = 18m Length of each side = 6m Now, Area of triangle \(= \frac{\sqrt{3}}{4}\text{s}^2 = \frac{\sqrt{3}}{4}(6)^2 = 9\sqrt{3}\) Area of triangle = sum of area of three triangles Area of triangle \(= \frac{1}{2}(6)(1) + \frac{1}{2}(6)(2) +\frac{1}{2}(6)(\text{x}) = 9 + 3\text{x}\) \(\text{Hence},9 + 3\text{x} = 9\sqrt{3}\) \(3 + \text{x} = 3\sqrt{3}\)
16. UNDERSTADNING ELEMENTARY SHAPES
288803
Which is/are three dimensional shapes?
1 Sphere
2 Cylinder
3 Cone
4 All of the above
Explanation:
All of the above Height, width and depth are the three dimensions of an object or a shape. An object that has height, width and depth, like any object in the real world are known as three dimensional or 3D shapes. 3D shapes are difficult to be drawn on a flat piece of paper. Sphere, Cylinder and Cone have all the three dimensions and hence are three dimensional shapes.
288796
The angles of a triangle are in the ratio of 3 : 5 : 7. What is the measure of the largest interior angle of the triangle?
1 18°
2 48°
3 84°
4 96°
Explanation:
84° Sum of the interior angles = 180° Let 3x, 5x and 7x be the three angles of the triangle. 3x + 5x + 7x = 180° 15x = 180° x = 12° Largest interior angle = 7 × 12° = 84°.
16. UNDERSTADNING ELEMENTARY SHAPES
288797
An angle which measures 0° is called
1 Obtuse
2 Straight
3 Zero
4 Right
Explanation:
Zero An angle which measures 0° is called zero angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288798
If one angle at a point is reflex angle, the other at that point may be :
1 Acute angle
2 Obtuse angle
3 Straight angle
4 Acute or obtuse angle
Explanation:
Acute or obtuse angle Angle formed at a point is 360°. When one of angle is reflex it range from 180° to 360°. If angle is 200° then the other angle is 160°, i.e obtuse angle. If one reflex angle is 300° then other angle is 60° i.e acute angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288802
A point within an equilateral triangle, where perimeter is 18m, is 1m from one side and 2m from another side. Its distance from the third side is:
1 \(3\sqrt{3} + 3\)
2 \(3\sqrt{3} - 3\)
3 \(3 - \sqrt{3}\)
4 \(3 + \sqrt{3}\)
Explanation:
\(3\sqrt{3} - 3\) Join the point to all the vertices of the triangle, such that it divides them into three parts and the distance from the third side is x meters. Perimeter of equilateral triangle = 18m Length of each side = 6m Now, Area of triangle \(= \frac{\sqrt{3}}{4}\text{s}^2 = \frac{\sqrt{3}}{4}(6)^2 = 9\sqrt{3}\) Area of triangle = sum of area of three triangles Area of triangle \(= \frac{1}{2}(6)(1) + \frac{1}{2}(6)(2) +\frac{1}{2}(6)(\text{x}) = 9 + 3\text{x}\) \(\text{Hence},9 + 3\text{x} = 9\sqrt{3}\) \(3 + \text{x} = 3\sqrt{3}\)
16. UNDERSTADNING ELEMENTARY SHAPES
288803
Which is/are three dimensional shapes?
1 Sphere
2 Cylinder
3 Cone
4 All of the above
Explanation:
All of the above Height, width and depth are the three dimensions of an object or a shape. An object that has height, width and depth, like any object in the real world are known as three dimensional or 3D shapes. 3D shapes are difficult to be drawn on a flat piece of paper. Sphere, Cylinder and Cone have all the three dimensions and hence are three dimensional shapes.
288796
The angles of a triangle are in the ratio of 3 : 5 : 7. What is the measure of the largest interior angle of the triangle?
1 18°
2 48°
3 84°
4 96°
Explanation:
84° Sum of the interior angles = 180° Let 3x, 5x and 7x be the three angles of the triangle. 3x + 5x + 7x = 180° 15x = 180° x = 12° Largest interior angle = 7 × 12° = 84°.
16. UNDERSTADNING ELEMENTARY SHAPES
288797
An angle which measures 0° is called
1 Obtuse
2 Straight
3 Zero
4 Right
Explanation:
Zero An angle which measures 0° is called zero angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288798
If one angle at a point is reflex angle, the other at that point may be :
1 Acute angle
2 Obtuse angle
3 Straight angle
4 Acute or obtuse angle
Explanation:
Acute or obtuse angle Angle formed at a point is 360°. When one of angle is reflex it range from 180° to 360°. If angle is 200° then the other angle is 160°, i.e obtuse angle. If one reflex angle is 300° then other angle is 60° i.e acute angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288802
A point within an equilateral triangle, where perimeter is 18m, is 1m from one side and 2m from another side. Its distance from the third side is:
1 \(3\sqrt{3} + 3\)
2 \(3\sqrt{3} - 3\)
3 \(3 - \sqrt{3}\)
4 \(3 + \sqrt{3}\)
Explanation:
\(3\sqrt{3} - 3\) Join the point to all the vertices of the triangle, such that it divides them into three parts and the distance from the third side is x meters. Perimeter of equilateral triangle = 18m Length of each side = 6m Now, Area of triangle \(= \frac{\sqrt{3}}{4}\text{s}^2 = \frac{\sqrt{3}}{4}(6)^2 = 9\sqrt{3}\) Area of triangle = sum of area of three triangles Area of triangle \(= \frac{1}{2}(6)(1) + \frac{1}{2}(6)(2) +\frac{1}{2}(6)(\text{x}) = 9 + 3\text{x}\) \(\text{Hence},9 + 3\text{x} = 9\sqrt{3}\) \(3 + \text{x} = 3\sqrt{3}\)
16. UNDERSTADNING ELEMENTARY SHAPES
288803
Which is/are three dimensional shapes?
1 Sphere
2 Cylinder
3 Cone
4 All of the above
Explanation:
All of the above Height, width and depth are the three dimensions of an object or a shape. An object that has height, width and depth, like any object in the real world are known as three dimensional or 3D shapes. 3D shapes are difficult to be drawn on a flat piece of paper. Sphere, Cylinder and Cone have all the three dimensions and hence are three dimensional shapes.
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16. UNDERSTADNING ELEMENTARY SHAPES
288796
The angles of a triangle are in the ratio of 3 : 5 : 7. What is the measure of the largest interior angle of the triangle?
1 18°
2 48°
3 84°
4 96°
Explanation:
84° Sum of the interior angles = 180° Let 3x, 5x and 7x be the three angles of the triangle. 3x + 5x + 7x = 180° 15x = 180° x = 12° Largest interior angle = 7 × 12° = 84°.
16. UNDERSTADNING ELEMENTARY SHAPES
288797
An angle which measures 0° is called
1 Obtuse
2 Straight
3 Zero
4 Right
Explanation:
Zero An angle which measures 0° is called zero angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288798
If one angle at a point is reflex angle, the other at that point may be :
1 Acute angle
2 Obtuse angle
3 Straight angle
4 Acute or obtuse angle
Explanation:
Acute or obtuse angle Angle formed at a point is 360°. When one of angle is reflex it range from 180° to 360°. If angle is 200° then the other angle is 160°, i.e obtuse angle. If one reflex angle is 300° then other angle is 60° i.e acute angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288802
A point within an equilateral triangle, where perimeter is 18m, is 1m from one side and 2m from another side. Its distance from the third side is:
1 \(3\sqrt{3} + 3\)
2 \(3\sqrt{3} - 3\)
3 \(3 - \sqrt{3}\)
4 \(3 + \sqrt{3}\)
Explanation:
\(3\sqrt{3} - 3\) Join the point to all the vertices of the triangle, such that it divides them into three parts and the distance from the third side is x meters. Perimeter of equilateral triangle = 18m Length of each side = 6m Now, Area of triangle \(= \frac{\sqrt{3}}{4}\text{s}^2 = \frac{\sqrt{3}}{4}(6)^2 = 9\sqrt{3}\) Area of triangle = sum of area of three triangles Area of triangle \(= \frac{1}{2}(6)(1) + \frac{1}{2}(6)(2) +\frac{1}{2}(6)(\text{x}) = 9 + 3\text{x}\) \(\text{Hence},9 + 3\text{x} = 9\sqrt{3}\) \(3 + \text{x} = 3\sqrt{3}\)
16. UNDERSTADNING ELEMENTARY SHAPES
288803
Which is/are three dimensional shapes?
1 Sphere
2 Cylinder
3 Cone
4 All of the above
Explanation:
All of the above Height, width and depth are the three dimensions of an object or a shape. An object that has height, width and depth, like any object in the real world are known as three dimensional or 3D shapes. 3D shapes are difficult to be drawn on a flat piece of paper. Sphere, Cylinder and Cone have all the three dimensions and hence are three dimensional shapes.
288796
The angles of a triangle are in the ratio of 3 : 5 : 7. What is the measure of the largest interior angle of the triangle?
1 18°
2 48°
3 84°
4 96°
Explanation:
84° Sum of the interior angles = 180° Let 3x, 5x and 7x be the three angles of the triangle. 3x + 5x + 7x = 180° 15x = 180° x = 12° Largest interior angle = 7 × 12° = 84°.
16. UNDERSTADNING ELEMENTARY SHAPES
288797
An angle which measures 0° is called
1 Obtuse
2 Straight
3 Zero
4 Right
Explanation:
Zero An angle which measures 0° is called zero angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288798
If one angle at a point is reflex angle, the other at that point may be :
1 Acute angle
2 Obtuse angle
3 Straight angle
4 Acute or obtuse angle
Explanation:
Acute or obtuse angle Angle formed at a point is 360°. When one of angle is reflex it range from 180° to 360°. If angle is 200° then the other angle is 160°, i.e obtuse angle. If one reflex angle is 300° then other angle is 60° i.e acute angle.
16. UNDERSTADNING ELEMENTARY SHAPES
288802
A point within an equilateral triangle, where perimeter is 18m, is 1m from one side and 2m from another side. Its distance from the third side is:
1 \(3\sqrt{3} + 3\)
2 \(3\sqrt{3} - 3\)
3 \(3 - \sqrt{3}\)
4 \(3 + \sqrt{3}\)
Explanation:
\(3\sqrt{3} - 3\) Join the point to all the vertices of the triangle, such that it divides them into three parts and the distance from the third side is x meters. Perimeter of equilateral triangle = 18m Length of each side = 6m Now, Area of triangle \(= \frac{\sqrt{3}}{4}\text{s}^2 = \frac{\sqrt{3}}{4}(6)^2 = 9\sqrt{3}\) Area of triangle = sum of area of three triangles Area of triangle \(= \frac{1}{2}(6)(1) + \frac{1}{2}(6)(2) +\frac{1}{2}(6)(\text{x}) = 9 + 3\text{x}\) \(\text{Hence},9 + 3\text{x} = 9\sqrt{3}\) \(3 + \text{x} = 3\sqrt{3}\)
16. UNDERSTADNING ELEMENTARY SHAPES
288803
Which is/are three dimensional shapes?
1 Sphere
2 Cylinder
3 Cone
4 All of the above
Explanation:
All of the above Height, width and depth are the three dimensions of an object or a shape. An object that has height, width and depth, like any object in the real world are known as three dimensional or 3D shapes. 3D shapes are difficult to be drawn on a flat piece of paper. Sphere, Cylinder and Cone have all the three dimensions and hence are three dimensional shapes.