Question

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 3/2 times the corresponding sides of the isosceles triangle.

Answer 1

Steps to construct

1. Draw a line segment BC of 8 cm

2. Take a mid point D of BC

3. At D, draw an angler of 90°

4.With centre D,Radius 4cm, draw an arc which intersect line of angle at A

5. Join AB and AC

6. At B, draw an angle CBX of any measure

7. Starting from B, cut there equal parts on BX such that BX₁ = X₁X₂ = X₂X₃

8. Join X₂C

9. Through X₃, Draw X3Q || X2C

10. Through Q, Draw QP || CA

∴ ΔPBQ ∼ ΔABC