Question

How do i solve this?

Answer 1

`5.4 cm^(2)`

Explanation:

The area of triangle is given by 0.5bh where b is the base while h is height. Therefore, A=0.5bh

For triangle ABC

15=0.5*5*h

H=6cm

Using the concept of similarity and enlargement

`\frac {B_a}{B_d}=\frac {H_a}{H_d}`

Where B and H represent base and height respectively. Subscripts a and d represent triangle ABC and DEF.

Therefore

`\frac {5}{3}=\frac {6}{H_d}\\H_d=3.6\ cm`

Area will be

`A=0.5*3*3.6=5.4\cm^(2)`