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Question
Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.
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Solution
Let ∆PQR be the given right-angled triangle.
In ∆PQR, ∠Q = 90°
∴ PR2 = PQ2 + QR2 .......[Pythagoras theorem]
∴ PR2 = 92 + 122
∴ PR2 = 81 + 144
∴ PR2 = 225
∴ PR = `sqrt(225)` .....[Taking the square root of both sides]
∴ PR = 15 cm
∴ The length of the hypotenuse of the right-angled triangle is 15 cm.
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