Question

If triangle ABC~ triangle QRP, ar(triangle ABC)/ar (triangle PQR) =9/4,AB=18cm and BC =15cm , find its area​

Answer 1

ANSWER;

EXPLANATION;Given :

Area of ∆ ABCArea of ∆QRP = 94

AB = 18 cm , BC = 15 cm So PR = ?

We know when two triangles are similar then " The areas of two similar triangles are proportional to the squares of their corresponding sides.

So , we take

Area of ∆ ABCArea of ∆ QRP = BC2PR2

Now substitute all given values and get

94 = 152PR2

Taking square root on both hand side , we get

32 = 15PR

PR = 10 cm