Question

Show that the diagnol of a rectangle are equal

Answer 1

Answer:

$\huge \fbox \red{✯AɴSᴡᴇR✯}$

Given:

A rectangle ABCD in which AC and BD are Diagonals.

To Prove:

Diagonals are equal i.e AC = BD

Proof: In ∆ABD & ∆BAC , we have

AB = BA { These sides are common in both triangles }

∠A = ∠B { Each side of a rectangle is of 90° }

AD = BC { Opposite Sides of a rectangle are equal to each other }

∴ ∆ABD ≅ ∆BAC ( By Side Angle Side SAS criteria )

Hence, BD = AC

Answer 2

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