Question

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)

Answer 1

7 cm

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 =
`√(50)` ≈ 7 cm ( to the nearest cm )

Answer 2

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.