Question

triangle abcis congrurnt to triangle pqr area of triangle pqr is 24 sq cm find the length of AD​

Answer 1

Answer:

The measure of QR is 6 cm.

Step-by-step explanation:

It is given that

\triangle ABC\sim \triangle PQR

The corresponding sides of similar triangles are proportional and the corresponding angles are same.

The ratio of areas of two similar triangles is the square of the ratio of their sides.

\frac{\text{Area of }\triangle ABC}{\text{Area of }\triangle PQR}=(\frac{BC}{QR})^2

It is given that

\text{Area of }\triangle ABC=4\times \text{Area of }\triangle PQR

\frac{\text{Area of }\triangle ABC}{\text{Area of }\triangle PQR}=4

4=(\frac{12}{QR})^2

Take square root both sides

2=\frac{12}{QR}

QR=\frac{12}{2}=6

Therefore the measure of QR is 6 cm

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