Question

Construct a right triangle whose hypotenuse and one side measures 10 cm and 8 cm respectively. Then construct another triangle whose sides are  times the corresponding sides of this triangle.

Answer 1

Steps of construction :

1. Draw a line segment BC = 8 cm.

2. Construct AM ⊥ BC.

3. Taking C as centre and radius as 10 cm, draw an arc that intersects the ray BM at A'.

4. Join CA to obtain ΔABC.

5. Below BC, make an acute angle CBX.

6. Along BX mark off 5 points B₁,B₂,B₃,B₄,B₅ such that BB₁ = B₁B₂ = B₂B₃ = ......... = B₄B₅.

7. Join B₅C.

8. From B_4, Draw B₄C' || B₅C.

9. From the point C' draw C'A' || CA meeting BA at point A'.

Hence A'BC' is the required triangle.