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  • In triangle PQR, angle R equal to angle P and QR equal to 4 cm and PR equal to 5 cm. Then the length of PQ is (A) 4 cm (B) 5 cm (C) 2 cm (D) 2.5 cm

In $\triangle P Q R, \angle R=\angle P$ and $Q R=4 \mathrm{~cm}$ and $P R=5 \mathrm{~cm}$. Then the length of $P Q$ is
(A) 4 cm
(B) 5 cm
(C) 2 cm
(D) 2.5 cm

Answers (1)

Solution.        

We know that sides opposite to the angle of a triangle are equal.

Here $\angle \mathrm{R}=\angle \mathrm{P}$ (Given)
Side $Q R$ is opposite to $\angle P$ and side $P Q$ is opposite to $\angle R$

$
\begin{aligned}
& \therefore P Q=Q R=4 \mathrm{~cm} \\
& \Rightarrow P Q=4 \mathrm{~cm}
\end{aligned}
$

Hence option $(A)$ is correct.

Posted by

infoexpert24

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