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Question -

Angles Q and R of a APQR are 25° and 65°. Write whichof the following is true.
(i) PQ2 + QR2 = RP2
(ii) PQ2 + RP2 = QR2
(iii) RP2 + QR2 = PQ2



Answer -

We know that
∠P + ∠Q + ∠R = 180° (Angle sum property)
∠P + 25°+ 65° = 180°
∠P + 90°= 180°
∠P =180° – 90° – 90°
∆PQR is a right triangle, right angled at P
(i) Not True
∴ PQ2 + QR2 ≠RP2 (By Pythagoras property)
(ii) True
∴ PQ2 + RP2 =QP2 (By Pythagoras property)
(iii) Not True
∴ RP2 + QR2 ≠PQ2 (By Pythagoras property)

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