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RHS Criteria for Congruency of Triangles

Two triangles...

Question

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

A

\frac{3}{2}

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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 $\frac{1}{2}$
$\Rightarrow \frac{A B}{P Q} = \frac{A C}{P R} = \frac{B C}{Q R}$
$\Rightarrow \frac{Q R}{P R} = \frac{B C}{A C} = \frac{1}{2}$

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