Question

if the altitude oh 2 similar triangles is in the 2:3 what is the ratio of their areas

Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak{~~solution~~}}}}$

$area = \frac{1}{2} b \times h$

now...h1:h2=2:3. and b1 =b2

so...

$\frac{a1}{a2} = \frac{ \frac{1}{2} \times b1 \times h1}{ \frac{1}{2} \times b2 \times h2 } \\ = > \frac{a1}{a2} = \frac{b1}{b1} \times \frac{2}{3} \\ = > \frac{a1}{a2} = \frac{2}{3}$

a1:a2=2:3

Answer 2

Hope it's Helpful for you.....☺☺