Question

to verify that diagonal of square are equal length
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Answer 1

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Answer 2

Step-by-step explanation:

Let the Square be ABCD

Diagonals are AC and DB

Diagonal intersects at O

To prove diagonal AC = DB

In triangle ABC and DCB

AB = DC (sides are equal)

Angle ABC = Angle DCB (both 90°, angles of square are 90°)

BC = BC (common)

triangle ABC = triangle DCB (congruence rule)

AC = DB (corresponding parts of congruent triangle CPCT)

Hence, the diagonals of square are equal in length.