Question

What is the length of the diagonal of the square shown below?

Answer 1

Answer:

$7\sqrt{2}$

Step-by-step explanation:

Given is a picture of a square with each side = 7 units

Since a square is right angled we have the diagonal bisecting the square into two isosceles right triangles.

Use Pythagorean theorem to get the diagonal length.

Hence diagonal =$\sqrt{7^2+7^2} =7\sqrt{2}$

Alternate method:

Find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x, then diagonal will have length as

$x\sqrt{2}$