Question:
In ΔPQR, if ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then, the length of PQ is
(a) 4 cm
(b) 5 cm
(c) 2 cm
(d) 2.5 cm
Solution:
(a) Given, $\triangle P Q R$ such that $\angle R=\angle P, Q R=4 \mathrm{~cm}$ and $P R=5 \mathrm{~cm}$
In $\triangle P Q R$, $\angle R=\angle P$
$\Rightarrow \quad P Q=Q R \quad$ [sides opposite to equal anqles are equal]
$\Rightarrow \quad P Q=4 \mathrm{~cm} \quad[\because Q R=4 \mathrm{~cm}]$
Hence, the length of $P Q$ is $4 \mathrm{~cm}$.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.