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In Triangle Pqr, Angle Q = 90°, Find: Pq, If Pr = 34 Cm and Qr = 30 Cm

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Question

In triangle PQR, angle Q = 90°, find: PQ, if PR = 34 cm and QR = 30 cm

Sum
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Solution

Given:
PR = 34 cm
QR = 30 cm
PQ =?
∠PQR = 90°

According to Pythagoras Theorem,
(PR)2 = (PQ)2 + (QR)2
(34)2 = PQ2 + (30)2
1156 = PQ2 + 900
1156 − 900 = PQ2
256 = PQ2
∴ PQ = `sqrt256` = 16 cm

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Chapter 16: Pythagoras Theorem - Exercise 16

APPEARS IN

Selina Concise Mathematics [English] Class 7 ICSE
Chapter 16 Pythagoras Theorem
Exercise 16 | Q 7.2

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