288739
Which of the following sets of triangles could be the lenghts of the sides of a right - angled triangle?
1 3cm, 4cm, 6cm
2 9cm, 16cm, 26cm
3 1.5cm, 3.6
4 7cm, 24cm, 26cm
Explanation:
1.5cm, 3.6 If the sides of a triangle obey pythagores rule then triangle is right angled triangle. Here, (1.5)\(^{\1}\)+ (3.6)\(^{\1}\) = 2.25 + 12.96 = 15.21cm and (3.9)\(^{\1}\) = 15.21cm \(\therefore (1.5)^2 + (3.6)^2 = (3.9)^2\)
16. UNDERSTADNING ELEMENTARY SHAPES
288740
Mark \((\checkmark)\) against the corrext answer. A gas pipe is an example of a:
1 Cuboid.
2 Cube.
3 Cone.
4 Cylinder.
Explanation:
Cylinder. \(\because\) Its shape is of a cylinder as it is round in shape on either sides/ faces.
16. UNDERSTADNING ELEMENTARY SHAPES
288742
Which is the greatest angle in the given set: \(\frac{1}{3}\) of complete angle, \(\frac{1}{3}\) of straight angle or a right angle?
1 \(\frac{1}{3}\) of complete angle
2 \(\frac{1}{3}\) of straight angle
3 A right angle
4 All are equal
Explanation:
\(\frac{1}{3}\) of complete angle Complete angle \(= 360^\circ \frac{1}{3}\) complete angle \(= \frac{1}{3} \times 360^\circ = 120^\circ\) Right angle \(= 90^\circ \frac{1}{3}\) right angle \(= \frac{1}{3} \times 90^\circ = 30^\circ\) So \(\frac{1}{3}\) complete angle is greater.
16. UNDERSTADNING ELEMENTARY SHAPES
288743
If two angles of a triangle are acute angles, the third angle:
1 Is less than the sum of the two angles
2 Is an acute angle
3 Is the largest angle of the triangle
4 May be an obtuse angle
Explanation:
May be an obtuse angle For a triangle ABC sum of angles is 180° Two angles are given as acute, \(\angle{\text{A}},\angle{\text{B}}<90^\circ\angle{\text{A}}=90^\circ-{\text{x}}\angle{\text{B}}=90^\circ-\text{y}\) Where \({\text{x}},{\text{y}}<90^\circ\) \(\therefore\angle{\text{A}}+\angle{\text{B}}+\angle{\text{c}}=180^\circ\) \(\Rightarrow\angle{\text{C}}=\text{x}+\text{yx}+\text{y}\) can be \(>90^\circ\text{ or} <90^\circ\) So, it may be obtuse or acute.
288739
Which of the following sets of triangles could be the lenghts of the sides of a right - angled triangle?
1 3cm, 4cm, 6cm
2 9cm, 16cm, 26cm
3 1.5cm, 3.6
4 7cm, 24cm, 26cm
Explanation:
1.5cm, 3.6 If the sides of a triangle obey pythagores rule then triangle is right angled triangle. Here, (1.5)\(^{\1}\)+ (3.6)\(^{\1}\) = 2.25 + 12.96 = 15.21cm and (3.9)\(^{\1}\) = 15.21cm \(\therefore (1.5)^2 + (3.6)^2 = (3.9)^2\)
16. UNDERSTADNING ELEMENTARY SHAPES
288740
Mark \((\checkmark)\) against the corrext answer. A gas pipe is an example of a:
1 Cuboid.
2 Cube.
3 Cone.
4 Cylinder.
Explanation:
Cylinder. \(\because\) Its shape is of a cylinder as it is round in shape on either sides/ faces.
16. UNDERSTADNING ELEMENTARY SHAPES
288742
Which is the greatest angle in the given set: \(\frac{1}{3}\) of complete angle, \(\frac{1}{3}\) of straight angle or a right angle?
1 \(\frac{1}{3}\) of complete angle
2 \(\frac{1}{3}\) of straight angle
3 A right angle
4 All are equal
Explanation:
\(\frac{1}{3}\) of complete angle Complete angle \(= 360^\circ \frac{1}{3}\) complete angle \(= \frac{1}{3} \times 360^\circ = 120^\circ\) Right angle \(= 90^\circ \frac{1}{3}\) right angle \(= \frac{1}{3} \times 90^\circ = 30^\circ\) So \(\frac{1}{3}\) complete angle is greater.
16. UNDERSTADNING ELEMENTARY SHAPES
288743
If two angles of a triangle are acute angles, the third angle:
1 Is less than the sum of the two angles
2 Is an acute angle
3 Is the largest angle of the triangle
4 May be an obtuse angle
Explanation:
May be an obtuse angle For a triangle ABC sum of angles is 180° Two angles are given as acute, \(\angle{\text{A}},\angle{\text{B}}<90^\circ\angle{\text{A}}=90^\circ-{\text{x}}\angle{\text{B}}=90^\circ-\text{y}\) Where \({\text{x}},{\text{y}}<90^\circ\) \(\therefore\angle{\text{A}}+\angle{\text{B}}+\angle{\text{c}}=180^\circ\) \(\Rightarrow\angle{\text{C}}=\text{x}+\text{yx}+\text{y}\) can be \(>90^\circ\text{ or} <90^\circ\) So, it may be obtuse or acute.
288739
Which of the following sets of triangles could be the lenghts of the sides of a right - angled triangle?
1 3cm, 4cm, 6cm
2 9cm, 16cm, 26cm
3 1.5cm, 3.6
4 7cm, 24cm, 26cm
Explanation:
1.5cm, 3.6 If the sides of a triangle obey pythagores rule then triangle is right angled triangle. Here, (1.5)\(^{\1}\)+ (3.6)\(^{\1}\) = 2.25 + 12.96 = 15.21cm and (3.9)\(^{\1}\) = 15.21cm \(\therefore (1.5)^2 + (3.6)^2 = (3.9)^2\)
16. UNDERSTADNING ELEMENTARY SHAPES
288740
Mark \((\checkmark)\) against the corrext answer. A gas pipe is an example of a:
1 Cuboid.
2 Cube.
3 Cone.
4 Cylinder.
Explanation:
Cylinder. \(\because\) Its shape is of a cylinder as it is round in shape on either sides/ faces.
16. UNDERSTADNING ELEMENTARY SHAPES
288742
Which is the greatest angle in the given set: \(\frac{1}{3}\) of complete angle, \(\frac{1}{3}\) of straight angle or a right angle?
1 \(\frac{1}{3}\) of complete angle
2 \(\frac{1}{3}\) of straight angle
3 A right angle
4 All are equal
Explanation:
\(\frac{1}{3}\) of complete angle Complete angle \(= 360^\circ \frac{1}{3}\) complete angle \(= \frac{1}{3} \times 360^\circ = 120^\circ\) Right angle \(= 90^\circ \frac{1}{3}\) right angle \(= \frac{1}{3} \times 90^\circ = 30^\circ\) So \(\frac{1}{3}\) complete angle is greater.
16. UNDERSTADNING ELEMENTARY SHAPES
288743
If two angles of a triangle are acute angles, the third angle:
1 Is less than the sum of the two angles
2 Is an acute angle
3 Is the largest angle of the triangle
4 May be an obtuse angle
Explanation:
May be an obtuse angle For a triangle ABC sum of angles is 180° Two angles are given as acute, \(\angle{\text{A}},\angle{\text{B}}<90^\circ\angle{\text{A}}=90^\circ-{\text{x}}\angle{\text{B}}=90^\circ-\text{y}\) Where \({\text{x}},{\text{y}}<90^\circ\) \(\therefore\angle{\text{A}}+\angle{\text{B}}+\angle{\text{c}}=180^\circ\) \(\Rightarrow\angle{\text{C}}=\text{x}+\text{yx}+\text{y}\) can be \(>90^\circ\text{ or} <90^\circ\) So, it may be obtuse or acute.
288739
Which of the following sets of triangles could be the lenghts of the sides of a right - angled triangle?
1 3cm, 4cm, 6cm
2 9cm, 16cm, 26cm
3 1.5cm, 3.6
4 7cm, 24cm, 26cm
Explanation:
1.5cm, 3.6 If the sides of a triangle obey pythagores rule then triangle is right angled triangle. Here, (1.5)\(^{\1}\)+ (3.6)\(^{\1}\) = 2.25 + 12.96 = 15.21cm and (3.9)\(^{\1}\) = 15.21cm \(\therefore (1.5)^2 + (3.6)^2 = (3.9)^2\)
16. UNDERSTADNING ELEMENTARY SHAPES
288740
Mark \((\checkmark)\) against the corrext answer. A gas pipe is an example of a:
1 Cuboid.
2 Cube.
3 Cone.
4 Cylinder.
Explanation:
Cylinder. \(\because\) Its shape is of a cylinder as it is round in shape on either sides/ faces.
16. UNDERSTADNING ELEMENTARY SHAPES
288742
Which is the greatest angle in the given set: \(\frac{1}{3}\) of complete angle, \(\frac{1}{3}\) of straight angle or a right angle?
1 \(\frac{1}{3}\) of complete angle
2 \(\frac{1}{3}\) of straight angle
3 A right angle
4 All are equal
Explanation:
\(\frac{1}{3}\) of complete angle Complete angle \(= 360^\circ \frac{1}{3}\) complete angle \(= \frac{1}{3} \times 360^\circ = 120^\circ\) Right angle \(= 90^\circ \frac{1}{3}\) right angle \(= \frac{1}{3} \times 90^\circ = 30^\circ\) So \(\frac{1}{3}\) complete angle is greater.
16. UNDERSTADNING ELEMENTARY SHAPES
288743
If two angles of a triangle are acute angles, the third angle:
1 Is less than the sum of the two angles
2 Is an acute angle
3 Is the largest angle of the triangle
4 May be an obtuse angle
Explanation:
May be an obtuse angle For a triangle ABC sum of angles is 180° Two angles are given as acute, \(\angle{\text{A}},\angle{\text{B}}<90^\circ\angle{\text{A}}=90^\circ-{\text{x}}\angle{\text{B}}=90^\circ-\text{y}\) Where \({\text{x}},{\text{y}}<90^\circ\) \(\therefore\angle{\text{A}}+\angle{\text{B}}+\angle{\text{c}}=180^\circ\) \(\Rightarrow\angle{\text{C}}=\text{x}+\text{yx}+\text{y}\) can be \(>90^\circ\text{ or} <90^\circ\) So, it may be obtuse or acute.
