Question

A square and a triangle have equal areas. If the ratio side of square and the height of triangle is 2:3, find the ratio of base to height.

• A. 2;3
• B. 4:3
• C. 4:5
• D. 8:9

Answer 1

Answer: (D)

8:9

According to the problem,

$a^2=\frac{1}{2}\times b\times h$

$\frac{a}{h}=\frac{2}{3}$ or $a=\frac{2}{3}h$

$\frac{1}{2}hb=a^2$

Subsituting $a=\frac{2}{3}h$ and on simplifying we get,

$b=\frac{8}{9}h$