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Question
Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.
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Solution
Let `square`ABCD be the rectangle.
AB = 7 cm, BC = 24 cm
In ∆ABC,
∠B = 90° ...[Angle of a rectangle]
From Pythagoras theorem,
AC2 = AB2 + BC2
AC2 = 72 + 242
AC2 = 49 + 576
∴ AC2 = 625
∴ AC = `sqrt(625)`
∴ AC = 25 cm
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