Question

Prove that the diagonal of the rectangle are equal

Answer 1

Step-by-step explanation:

this will help you a lot

Answer 2

Given :-

Let ABCD is rectangle with diagonals AC & BD

To Prove :-

We have to prove that AC = BD

Proof :-

Let ABCD be a rectangle

In ∆ABC and ∆ADC

$\implies$ AC = AC (Common)

$\implies$ AD = BC ( Opposite sides of parallelogram, a rectangle is a parallelogram)

$\implies$ ∠ABC = ∠ADC = 90° (All angles of rectangle are 90°)

So, By SAS congruency rule of triangles

∆ABC and ∆ADC are congruent to each other

Hence, AC = AB (Corresponding part of congruent triangle)

Hence proved ✔

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