Question

TRIANGLE ABC AND TRIANGLE PQR ARE TWO TRIANGLES SUCH THAT AB:PQ =2:3. IF BC+QR = 15CM , THEN FIND THE MEASURE OF QR?

Answer 1

Answer:

The length of QR is 9 cm

Step-by-step explanation:

Given two triangles such that AB:PQ =2:3 and  BC+QR = 15 cm.

We have to find the measure of QR.

As given two triangles similar whose sides are in ratio 2:3

Hence, we can write their sides in proportion

$\frac{AB}{PQ}=\frac{BC}{QR}$

⇒ $\frac{2}{3}=\frac{15-QR}{QR}$

⇒ $2QR=45-3QR$

⇒ $5QR=45$

⇒ $QR=9cm$

Hence, the length of QR is 9 cm