The diagonal of the square is 10 cm. The length of the sides in cm is:
A. 5
B. 5sqrt2
C. 10sqrt2
D. 20
E. 100

*sqrt = square root I can't put the icon in

The diagonal of the square is 10 cm The length of the sides in cm is A 5 B 5sqrt2 C 10sqrt2 D 20 E 100 sqrt square root I cant put the icon in class=

Respuesta :

The length of a square with diagonal of 10 cm is 5√2 cm.

How to find the length of a square?

Each angle in a square is 90 degrees.

Therefore, the diagonal form a right triangle with the length of the square.

The length of the square are equal.

Hence, using Pythagoras theorem,

let

x = length of square

x² + x² = 10²

2x² = 100

x² = 50

x = √50

x = 5√2

Therefore, the length of a square with diagonal of 10 cm is 5√2 cm.

learn more on square here: https://brainly.com/question/15065958

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