Question

Triangle abc and pqr are similar area of abc equal to 16cm square area of pqr is equal to 81 cm square ab equal to 2 find pq

Answer 1

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

by formula of areas of similar triangles..

$\frac{16 {}^{} }{81 {}^{} } = \frac{2 {}^{2} }{pq {}^{2} }$

$16 \times pq {}^{2} = 81 \times 4$

$16 \times pq {}^{2} = 324$

$pq {}^{2} { = \frac{324}{16} }$

$pq { }^{2} = 20.25$

$pq = \sqrt{20.25}$

$pq = \sqrt{ \frac{81}{4} }$

$pq = \sqrt{ \frac{9}{2} }$

$pq = 4.5$

hope you like it... please Mark brainliest