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Question

Prove that the diagonals of a rectangle are equal. [3 MARKS]


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Solution

Concept : 1 Mark
Proof : 2 Marks



Consider a rectange ABCD

AD=BC and AB=CD [ Opposite sides of a rectange]

A=B=C=D=90

BD2 = AD2+ AB2 --------(i)

and AC2 = AB2 + BC2

AC2 =AB2+ AD2 --------(ii) [ since BC=AD ]

From (i) and (ii) AC2 = BD2

AC=BD

Hence, the diagonals of a rectangle are equal.


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