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Question
A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal?
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Solution
Let PQRS be the given rectangle.
In ∆PQR,
∠Q = 90° ...[Angle of a rectangle]
∴ PR2 = PQ2 + QR2 ...[Pythagoras theorem]
= 122 + 352
= 144 + 1225
= 1369
∴ PR = `sqrt(1369)` ...[Taking square root of both sides]
= 37 m
∴ The length of the diagonal of the given rectangle is 37 m.
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