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Question
Choose the correct alternative:
In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse?
Options
15
13
5
12
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Solution
13
In ∆PQR,
∠Q = 90°
∴ PR2 = PQ2 + QR2 ...[Pythagoras theorem]
∴ PR2 = 169 ...[Given]
∴ PR = `sqrt(169)`
Taking square root both the sides,
∴ PR = 13
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