Question

Triangle ABC has sides of 5,6,and 7 units while triangle PQR has perimeter 360 units. If triangle ABC is similar to triangle PQR, find sides of PQR

Answer 1

Answer:

Step-by-step explanation:

For similar triangles, ratio of corresponding sides is equal.

For triangles ∆ABC and ∆PQR -

AB/PQ = BC/QR = AC/PR

5/PQ = 6/QR = 7/PR

Taking x as random variable,

PQ = 5x

QR = 6x

PR = 7x

Given that triangle PQR has perimeter 360 units.

Perimeter = PQ + QR + PR

360 = 5x + 6x + 7x

360 = 18x

x = 20

So,

PQ = 5x = 5×20 = 100 unit

QR = 6x = 6×20 = 120 unit

PR = 7x = 7×20 = 140 unit