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Question
Angles Q and R of a ΔPQR are 25° and 65°.
Write which of the following is true:
Options
PQ2 + QR2 = RP2
PQ2 + RP2 = QR2
RP2 + QR2 = PQ2
Solution
PQ2 + RP2 = QR2
Explanation:
The sum of the measures of all interior angles of a triangle is 180º.
∠PQR + ∠PRQ + ∠QPR = 180°
25° + 65° + ∠QPR = 180°
90° + ∠QPR = 180°
∠QPR = 180° − 90°
∠QPR = 90°
Therefore, ΔPQR is right-angled at point P.
Hence, (PR)2 + (PQ)2 = (QR)2
Thus, (ii) is true.
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