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The diagonal of a square is 10m long. What is the length of the side of the square?(Give your answer to the nearest cm)

The diagonal of a square is 10m long What is the length of the side of the squareGive your answer to the nearest cm class=

Respuesta :

JayV2005

Answer: 7 cm

Step-by-step explanation: The formula for this type of question is; √2×d÷2 where d stands for the diagonal so, √2×10÷2 = 7.071067812, to the nearest cm is 7cm.

Answer:

7 cm

Step-by-step explanation:

The diagonal divides the square into 2 right triangles.

Using Pythagoras' identity with the diagonal as the hypotenuse.

let x be the side of the square, then

x² + x² = 10²

2x² = 100 ( divide both sides by 2 )

x² = 50 ( take the square root of both sides )

x = [tex]\sqrt{50}[/tex] ≈ 7 cm ( to the nearest cm )

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