Question

triangle ABC is ~ to triangle PQR A (ABC )= 9cm2 A (PQR )= 64CM2 if PQ = 5.6 cm find AB​

Answer 1

Answer:

$\frac{a(abc)}{a(pqr} = \frac{ {ab}^{2} }{ {pq}^{2} }$

$\frac{9}{64} = \frac{ {ab}^{2} }{ {5.6}^{2} }$

${5.6}^{2} \times 9 = {ab}^{2} \times 64$

$31.36 \times 9 = {ab}^{2} \times 64$

$\frac{31.36 \times 9}{64} = {ab}^{2}$

$\frac{282.24}{64} = {ab}^{2}$

$4.41 = {ab}^{2}$

$ab = 2.1$