Question

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

Answer 1

Answer:

6cm

Step-by-step explanation:

As 1 angle is equal and two sides are proportional so

Triangle ABC is similar to triangle POR

Now

We know that ratio of area of triangles is equal to ratio of square of its one side

So

25/9 = 10^2/QR^2

25*QR^2 = 900

QR^2 = 900/25

QR= √36

QR = 6