Question

2)AABC APQR, A(AABC): A(APCR) = 9:16 Find BC: QR​

Answer 1

Answer:

3:4

Step-by-step explanation:

We know that ratio of the areas of two triangles is equal to the ratio of the squares of the corresponding sides of those two triangles.

$\frac{∆abc}{∆pqr} = \frac{9}{16} = \frac{ {(bc)}^{2} }{ {(qr)}^{2} }$

So,

$\frac{bc}{qr} = \sqrt{ \frac{9}{16} } = \frac{3}{4}$

So, BC:QR = 3:4