In a △PQR, ∠P = 50° and ∠R = 70°. Name :

(i) the shortest side

(ii) the longest side of the triangle

We know that,

Sum of angles of triangle = 180°

∴ ∠P + ∠Q + ∠R = 180°

⇒ 50° + ∠Q + 70° = 180°

⇒ ∠Q + 120° = 180°

⇒ ∠Q = 180° - 120°

⇒ ∠Q = 60°.

(i) We know that side opposite to the smallest angle is smallest side.

Since, P is the smallest angles,

∴ QR is shortest side of the triangle.

Hence, shortest side of the triangle PQR is QR.

(ii) We know that side opposite to the greatest angle is greatest side.

Since, R is the greatest angle,

∴ PQ is longest side of the triangle.

Hence, longest side of the triangle PQR is PQ.