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Question
Choose the correct alternative:
A rectangle having length of a side is 12 and length of diagonal is 20, then what is length of other side?
Options
2
13
5
16
Solution
16
Let ABCD be the given rectangle.
AC = 20 units and BC = 12 units
In ∆ABC,
∠B = 90°
∴ AC2 = AB2 + BC2 ...[Pythagoras theorem]
∴ 202 = AB2 + 122
∴ 400 = AB2 + 144
∴ AB2 = 256
∴ AB = 16 units
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