Question

 ∆ ABC ∿ ∆ PQR, AB : PQ = 2 : 3. If BC = 4 then QR = _____________​

Answer 1

Answer:

6

Step-by-step explanation:

Since triangle are similar so

therefore the ratio of their sides will be equal

AB:PQ=BC:QR

2:3=4:QR

QR=6

Answer 2

$\sf \: According \:to \:theorem\:of \:areas$

$\sf \:of similar\:triangles\:When\:two \:triangles$

$\sf \:are similar,\:the\:ratio\:of areas\:of \:$

$\sf \:those triangles\:is\:equal\:to\:the \:ratio \:$

$\sf \:of the\:squares\:of\:their \:corresponding \:sides"\:$

${\huge{\boxed{\overline{\mid{\frac{A(ABC)}{</p><p>A(PQR)} = { \frac{AB}{ {PQ}^{2} } }^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \frac{4}{9}}}}}}}$