Question

In $\Delta PQR$, $\angle P=$${70}^{\circ }$ and $\angle R={30}^{\circ }.$ Which side of this triangle is the longest?

• A. $PR$
• B. $QR$
• C. $PQ$
• D. All sides are equal.

Answer 1

Answer: (A)

$PR$

Given, $△PQR$, $\angle P={70}^{\circ }$, $\angle R={30}^{\circ }$
Sum of angles of triangle $={180}^{\circ }$
$⟹\angle P+\angle Q+\angle R={180}^{\circ }$
$⟹{70}^{\circ }+{30}^{\circ }+\angle Q={180}^{\circ }$
$⟹\angle Q={80}^{\circ }$
Since $\angle Q$ is the largest $⟹PR$ will be the longest side this is because when the two sides of a triangle are unequal, the angle opposite to the longer side is larger.