Question

Prove that diagonals of rectangles are of equal length

Answer 1

Answer:

let us consider a rectangle ABCD

by pythagoras theorem,

AB²+BC²=AC²

AB²+AD²=BD²

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____________

BC²-AD²=AC²-BD²

But, BC=AD,

BC²-BC²=AC²-BD²

AC²-BD²=0

AC²=BD²

AC=BD

Step-by-step explanation:

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