Question

Construct an isosceles triangle with base 6cm and height 7cm. Construct another triangle similar to this, with ratio of corresponding sides as 4:3.

Answer 1

Procedure:

1. Draw the given isosceles triangle with base 6cm and height 7cm.
2. From B, draw a ray BX. Cut 4 arcs of equal length on the ray BX at $B_1$, $B_2$, $B_3$ and $B_4$.
3. Draw a line from $B_3$ to C.
4. From $B_4$, draw another line parallel to $B_{3}C$, cutting the extended line BC at $C_1$.
5. From $C_1$, draw another line parallel to AC, cutting the extended line BA at $A_1$.
Triangle $A_{1}B{C}_1$ is the required similar triangle to ABC with the ratio of corresponding sides 4:3.