Question

In ∆ABC and in ∆PQR,angleB=angleQ and AB/PQ=BC/QR. If ar(∆ABC)/ar(∆PQR)=25/9 and BC=10cm,find QR

Answer 1

Step-by-step explanation:

triangle ABC is similar to triangle PQR .

A(triangle ABC)/A(triangle PQR) = (BC)^2 / (QR)^2 .

25/9 = 10^2 / (QR)^2

25/9 = 100 / (QR)^2

(QR)^2 = 100×9/15

(QR)^2 = 36

therefore , QR = 6 .

♓️E this answer will help.