Question

if triangle ABC similar to triangle pqr , area of triangle ABC is 80 and area of triangle pqr is 125 then find ab and pq

Answer 1

ab/pq=4/5 is the answer

Answer 2

Given,

ΔABC ≈ ΔPQR.

ΔABC area = 80cm².

ΔPQR area =125cm².

To Find,

The sides AB and PQ.

Solution,

Given that,

ΔABC  ≈ ΔPQR

Area of ΔABC  = 80cm²

Area of ΔPQR  = 125cm²

The triangles are similar.

The area of the triangle's ratio is equal to the ratio of the square of the sides.

$\frac{AB^{2} }{PQ^{2} }$ = $\frac{Triangle ABC area}{Area of triangle PQR}$

80/125 = AB²/PQ²

AB²/PQ² = 16/25

AB²/PQ² = 4²/5²

AB/PQ = 4/5

Therefore,

AB = 4cm

PQ = 5cm

Hence, the side AB is 4cm and PQ is 5cm.