298328
If two sides of a triangle are not equal the triangle is called:
1 Scalene
2 Isosceles
3 Equilateral
4 Right-angled
Explanation:
Scalene An isosceles triangle therefore has both two equal sides and two equal angles. A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298329
Fig. if AB || CD, then the values of x, y and z are: 9
1 x = 56, y = 47, z = 77
2 x = 47, y = 56, z = 77
3 x = 77, y = 56, z = 47
4 x = 56, y = 77, z = 47
Explanation:
x = 56, y = 77, z = 47 \(\angle \text{AFE}+\angle \text{EFG}=180^\circ\) [Linear pair angles] \(\Rightarrow 124^\circ+\angle\text{EFG}=180^\circ\) \(\Rightarrow \angle\text{EFG}=56^\circ\) Since, AB || CD \(\therefore \angle \text{EFG}=\angle \text{FHK}=56^\circ\) [Corresponding angles] \(\Rightarrow \text{x}=56\) Now, \(\angle \text{QKH}+\angle \text{GKH}=180^\circ\) [Linear pair angles] \(\Rightarrow 103^\circ+\angle \text{GKH}=180^\circ\) \(\Rightarrow \angle \text{GKH}=77^\circ\) Since, AB || CD \(\therefore \angle \text{EGF}=\angle \text{GKH}=77^\circ\) [Corresponding angles] \(\Rightarrow \text{y}=77\) In \(\triangle \text{EHK},\) \(\angle \text{EHK}+\angle \text{EKH}+\angle \text{HEK}=180^\circ\) [Angle sum property of triangle] \(\Rightarrow 56^\circ+77^\circ+\text{z}^\circ=180^\circ\) \(\Rightarrow \text{z}=47\) Hence, the correct answer is option (d).
THE TRIANGLE AND ITS PROPERTIES
298330
Which of the following figures will have it’s altitude outside the triangle?
10
21
32
43
Explanation:
4 As we know, the perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle.
298332
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the largest angle is:
1 84º
2 91º
3 105º
4 98º
Explanation:
105º Let the angles of the triangle be 2x, 3x and 7x. Now, 2x + 3x + 7x = 180º [Angle sum property of triangle] 12x = 180º x = 15º \(\therefore\) Largest angle = 7x = 7 × 15º = 105º Hence, the correct answer is option (c).
298328
If two sides of a triangle are not equal the triangle is called:
1 Scalene
2 Isosceles
3 Equilateral
4 Right-angled
Explanation:
Scalene An isosceles triangle therefore has both two equal sides and two equal angles. A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298329
Fig. if AB || CD, then the values of x, y and z are: 9
1 x = 56, y = 47, z = 77
2 x = 47, y = 56, z = 77
3 x = 77, y = 56, z = 47
4 x = 56, y = 77, z = 47
Explanation:
x = 56, y = 77, z = 47 \(\angle \text{AFE}+\angle \text{EFG}=180^\circ\) [Linear pair angles] \(\Rightarrow 124^\circ+\angle\text{EFG}=180^\circ\) \(\Rightarrow \angle\text{EFG}=56^\circ\) Since, AB || CD \(\therefore \angle \text{EFG}=\angle \text{FHK}=56^\circ\) [Corresponding angles] \(\Rightarrow \text{x}=56\) Now, \(\angle \text{QKH}+\angle \text{GKH}=180^\circ\) [Linear pair angles] \(\Rightarrow 103^\circ+\angle \text{GKH}=180^\circ\) \(\Rightarrow \angle \text{GKH}=77^\circ\) Since, AB || CD \(\therefore \angle \text{EGF}=\angle \text{GKH}=77^\circ\) [Corresponding angles] \(\Rightarrow \text{y}=77\) In \(\triangle \text{EHK},\) \(\angle \text{EHK}+\angle \text{EKH}+\angle \text{HEK}=180^\circ\) [Angle sum property of triangle] \(\Rightarrow 56^\circ+77^\circ+\text{z}^\circ=180^\circ\) \(\Rightarrow \text{z}=47\) Hence, the correct answer is option (d).
THE TRIANGLE AND ITS PROPERTIES
298330
Which of the following figures will have it’s altitude outside the triangle?
10
21
32
43
Explanation:
4 As we know, the perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle.
298332
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the largest angle is:
1 84º
2 91º
3 105º
4 98º
Explanation:
105º Let the angles of the triangle be 2x, 3x and 7x. Now, 2x + 3x + 7x = 180º [Angle sum property of triangle] 12x = 180º x = 15º \(\therefore\) Largest angle = 7x = 7 × 15º = 105º Hence, the correct answer is option (c).
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THE TRIANGLE AND ITS PROPERTIES
298328
If two sides of a triangle are not equal the triangle is called:
1 Scalene
2 Isosceles
3 Equilateral
4 Right-angled
Explanation:
Scalene An isosceles triangle therefore has both two equal sides and two equal angles. A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298329
Fig. if AB || CD, then the values of x, y and z are: 9
1 x = 56, y = 47, z = 77
2 x = 47, y = 56, z = 77
3 x = 77, y = 56, z = 47
4 x = 56, y = 77, z = 47
Explanation:
x = 56, y = 77, z = 47 \(\angle \text{AFE}+\angle \text{EFG}=180^\circ\) [Linear pair angles] \(\Rightarrow 124^\circ+\angle\text{EFG}=180^\circ\) \(\Rightarrow \angle\text{EFG}=56^\circ\) Since, AB || CD \(\therefore \angle \text{EFG}=\angle \text{FHK}=56^\circ\) [Corresponding angles] \(\Rightarrow \text{x}=56\) Now, \(\angle \text{QKH}+\angle \text{GKH}=180^\circ\) [Linear pair angles] \(\Rightarrow 103^\circ+\angle \text{GKH}=180^\circ\) \(\Rightarrow \angle \text{GKH}=77^\circ\) Since, AB || CD \(\therefore \angle \text{EGF}=\angle \text{GKH}=77^\circ\) [Corresponding angles] \(\Rightarrow \text{y}=77\) In \(\triangle \text{EHK},\) \(\angle \text{EHK}+\angle \text{EKH}+\angle \text{HEK}=180^\circ\) [Angle sum property of triangle] \(\Rightarrow 56^\circ+77^\circ+\text{z}^\circ=180^\circ\) \(\Rightarrow \text{z}=47\) Hence, the correct answer is option (d).
THE TRIANGLE AND ITS PROPERTIES
298330
Which of the following figures will have it’s altitude outside the triangle?
10
21
32
43
Explanation:
4 As we know, the perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle.
298332
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the largest angle is:
1 84º
2 91º
3 105º
4 98º
Explanation:
105º Let the angles of the triangle be 2x, 3x and 7x. Now, 2x + 3x + 7x = 180º [Angle sum property of triangle] 12x = 180º x = 15º \(\therefore\) Largest angle = 7x = 7 × 15º = 105º Hence, the correct answer is option (c).
298328
If two sides of a triangle are not equal the triangle is called:
1 Scalene
2 Isosceles
3 Equilateral
4 Right-angled
Explanation:
Scalene An isosceles triangle therefore has both two equal sides and two equal angles. A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298329
Fig. if AB || CD, then the values of x, y and z are: 9
1 x = 56, y = 47, z = 77
2 x = 47, y = 56, z = 77
3 x = 77, y = 56, z = 47
4 x = 56, y = 77, z = 47
Explanation:
x = 56, y = 77, z = 47 \(\angle \text{AFE}+\angle \text{EFG}=180^\circ\) [Linear pair angles] \(\Rightarrow 124^\circ+\angle\text{EFG}=180^\circ\) \(\Rightarrow \angle\text{EFG}=56^\circ\) Since, AB || CD \(\therefore \angle \text{EFG}=\angle \text{FHK}=56^\circ\) [Corresponding angles] \(\Rightarrow \text{x}=56\) Now, \(\angle \text{QKH}+\angle \text{GKH}=180^\circ\) [Linear pair angles] \(\Rightarrow 103^\circ+\angle \text{GKH}=180^\circ\) \(\Rightarrow \angle \text{GKH}=77^\circ\) Since, AB || CD \(\therefore \angle \text{EGF}=\angle \text{GKH}=77^\circ\) [Corresponding angles] \(\Rightarrow \text{y}=77\) In \(\triangle \text{EHK},\) \(\angle \text{EHK}+\angle \text{EKH}+\angle \text{HEK}=180^\circ\) [Angle sum property of triangle] \(\Rightarrow 56^\circ+77^\circ+\text{z}^\circ=180^\circ\) \(\Rightarrow \text{z}=47\) Hence, the correct answer is option (d).
THE TRIANGLE AND ITS PROPERTIES
298330
Which of the following figures will have it’s altitude outside the triangle?
10
21
32
43
Explanation:
4 As we know, the perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle.
298332
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the largest angle is:
1 84º
2 91º
3 105º
4 98º
Explanation:
105º Let the angles of the triangle be 2x, 3x and 7x. Now, 2x + 3x + 7x = 180º [Angle sum property of triangle] 12x = 180º x = 15º \(\therefore\) Largest angle = 7x = 7 × 15º = 105º Hence, the correct answer is option (c).
298328
If two sides of a triangle are not equal the triangle is called:
1 Scalene
2 Isosceles
3 Equilateral
4 Right-angled
Explanation:
Scalene An isosceles triangle therefore has both two equal sides and two equal angles. A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.
THE TRIANGLE AND ITS PROPERTIES
298329
Fig. if AB || CD, then the values of x, y and z are: 9
1 x = 56, y = 47, z = 77
2 x = 47, y = 56, z = 77
3 x = 77, y = 56, z = 47
4 x = 56, y = 77, z = 47
Explanation:
x = 56, y = 77, z = 47 \(\angle \text{AFE}+\angle \text{EFG}=180^\circ\) [Linear pair angles] \(\Rightarrow 124^\circ+\angle\text{EFG}=180^\circ\) \(\Rightarrow \angle\text{EFG}=56^\circ\) Since, AB || CD \(\therefore \angle \text{EFG}=\angle \text{FHK}=56^\circ\) [Corresponding angles] \(\Rightarrow \text{x}=56\) Now, \(\angle \text{QKH}+\angle \text{GKH}=180^\circ\) [Linear pair angles] \(\Rightarrow 103^\circ+\angle \text{GKH}=180^\circ\) \(\Rightarrow \angle \text{GKH}=77^\circ\) Since, AB || CD \(\therefore \angle \text{EGF}=\angle \text{GKH}=77^\circ\) [Corresponding angles] \(\Rightarrow \text{y}=77\) In \(\triangle \text{EHK},\) \(\angle \text{EHK}+\angle \text{EKH}+\angle \text{HEK}=180^\circ\) [Angle sum property of triangle] \(\Rightarrow 56^\circ+77^\circ+\text{z}^\circ=180^\circ\) \(\Rightarrow \text{z}=47\) Hence, the correct answer is option (d).
THE TRIANGLE AND ITS PROPERTIES
298330
Which of the following figures will have it’s altitude outside the triangle?
10
21
32
43
Explanation:
4 As we know, the perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle.
298332
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the largest angle is:
1 84º
2 91º
3 105º
4 98º
Explanation:
105º Let the angles of the triangle be 2x, 3x and 7x. Now, 2x + 3x + 7x = 180º [Angle sum property of triangle] 12x = 180º x = 15º \(\therefore\) Largest angle = 7x = 7 × 15º = 105º Hence, the correct answer is option (c).
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