Question

Construct a triangle ABC with BC = 7 cm, ∠B = 60°and AB = 6 cm. Construct another triangle whose sides are 3/4 of the corresponding sides of ΔABC.

Answer 1

Steps of construction :

1. Draw a line segment BC = 7 cm.

1. At point B draw a line BA making an angle of 60°.

2. With centre C mark an arc A of length 6 cm.

3. Join CA.

4. Draw a ray BX making an acute angle with BC.

5. Locate four points B1, B2, B2 and B4, on the line segment BX at equal distance.

6. Join B4C. Draw a parallel line through B, to B4C intersecting line segment BC at C'.

7. Through C' draw a line parallel to AC intersecting extended line segment AB at A'.

Hence ΔA'BC' is the required triangle.