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Angle Sum Property

Two triangles...

Question

Two triangles ABC and PQR are similar, if $B C : C A : A B =$ 1: 2 : 3, then $\frac{Q R}{P R}$ is

A

\frac{1}{3}

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B

\frac{1}{2}

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C

\frac{1}{\sqrt{2}}

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D

\frac{2}{3}

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Solution

The correct option is B $\frac{1}{2}$
Two triangle ABC and PQR are similar then,
$A B : B C : C A :: P Q : Q R : P R$
Given $B C : C A = 1 : 2$
Hence, $Q R : P R = B C : C A = 1 : 2$

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