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Constructions

Short Answer Type

71. Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides arc

2 over 3

of the corresponding sides of the first triangle.

1448 Views

72. Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides arc

7 over 5

of the corresponding sides of the first triangle.

2093 Views

73. Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another

triangle whose sides are

1 begin inline style 1 half end style

times the corres ponding sides of the isosceles triangle.

2505 Views

74. Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Then construct a triangle whose sides are

3 over 4

of the corresponding sides of the triangle ABC.

5297 Views

75. Draw a triangle ABC with side BC = 7 cm, ∠B = 45°, ∠A = 105°. Then, construct a triangle whose sides are 4/3 times the corresponding sides of ΔABC.

2325 Views

Long Answer Type

76. Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are $5 over 3$ times the corresponding sides of the given triangle.

Steps of Construction :
(i) Draw line BC = 4 cm.
(ii) Draw BA = 3 cm line segment with 90° at B.

Steps of Construction :(i) Draw line BC = 4 cm.(ii) Draw BA = 3 cm li

(iii)    Join AC to form right ΔABC.
(iv)    Construct an acute ∠CBX downwards.
(v)    Along BX mark off 5 equal points B₁, B₂, B₃, B₄, B₅ such that BB₁ = B₁B₂=... = B₄B₅.
(vi)    Join C to B₃ and draw a line through B₅ parallel to B₃C intersecting the extended line segment BC at C’.
(vii)    Again we draw C’A’ parallel to AC.Thus, ΔA‘BC’ is the required triangle.
Justification :

Steps of Construction :(i) Draw line BC = 4 cm.(ii) Draw BA = 3 cm li

513 Views

Short Answer Type

77. Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

631 Views

78. Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

249 Views

79. Draw a circle of radius 3 cm. Take two points at a distance 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

166 Views

80. Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.

481 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

Long Answer Type

76. Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are times the corresponding sides of the given triangle.

Short Answer Type

76. Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are $5 over 3$ times the corresponding sides of the given triangle.