Question

perimeter of a square is 12√2 cm what is the length of its each diagonal​

Answer 1

Step-by-step explanation:

Given : perimeter of square is 12√2

find length of each diagonal

we know that square has four side equal . so

the length of each side of square = 12√2/4

= 3√2

we know that diagonal of square bisect each other at 90°

By applying Phythogorus theroem we have

Hypotenuse ^2= perpendicular^2+Base ^2

3√2= OA^2+OB^2

18= 2OA^2 ( we know that diagonal of square bisect each other at 90° so OA=OB)

OA^2= 18/2

OA= 3

Hence length of each diagonal of square is 3 unit

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