Question

1)
In AABC &ADEF, AABC ~ADEF and there areas be, respectively 225cm and
400cm. Find the ratio of there corresponding sides
​

Answer 1

Step-by-step explanation:

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

This proves that the ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both the triangles.

AB² : DE² = area ∆ ABC : area ∆ DEF

AB² : DE² = 225 : 400

AB : DE = √225 : √400

= √15 × 15 : √ 20 × √20

= 15 : 20

3 : 4