Question

In ABC - PQR, A(ABC) =81 cm^(2), A( PQR) =121cm^(2).If. BC =6.3cm, then find QR.​

Answer 1

Answer:

QR=7.7 cm

Step-by-step explanation:

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Answer 2

Length QR is 7.7cm.

Given:

Δ ABC = 81 cm²

Δ PQR = 121 cm²

BC = 6.3 cm

To Find:

Length of QR

Explanation:

Δ ABC ≈ Δ PQR

If two Δ are similar ratio of area of two Δ is equal to ratio of squares of corresponding sides.

$ar\frac{ABC}{PQR}$ =$\frac{81}{121}$

$\frac{81}{121}$ = $\frac{BC^{2} }{QR^{2} }$

$\frac{9}{11}$ = $\frac{6.3}{QR}$

QR = $\frac{6.3 * 11}{9}$

QR = 7.7 cm.