Question

Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then construct another triangle sides are 3/4 times the corresponding sides of the isosceles triangle.

Answer 1

Steps of Constructions : 

1. Draw a line segment BC = 6 cm. 

2. Draw perpendicular bisector of BC which cuts the line BC at Q. 

3. Cut the line QA = 4 cm. 

4. Join A to B and C. 

5. Triangle ABC is the given triangle.

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

7. Mark the four points B₁, B₂ B₃ and B₄ on the ray BX, such that BB₁ = B₁B₂ = B₂B₃ = B₃B₄. 

8. Join B₄C. Draw B₃C' || B₄C

9. From C' draw C'A' l l CA meeting BA at A'. 

Hence, ΔA'BC' a required triangle.