Q. 9 A5.0( 2 Votes )

In ΔPQR, if m<spa

Answer :

In ΔABC, we know that sum of all interior angles in triangle is equal to 180°

⇒ ∠P + ∠Q + ∠R = 180

Also, given that, ∠P + ∠Q = ∠R,

⇒ 2∠R = 180

⇒ ∠R = 90°

Using Pythagoras Theorem,

PQ² = PR² + QR²

⇒ PQ² = 7² + (24)²

⇒ PQ² = 49 + 576

⇒ PQ² = 625

⇒ PQ = 25

∴ Option (b) is correct.

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