Question

side of a square is 5 cm.length of the diagonal is _ _ _ _ __ _ _ _ _ _ _ _
1)4 cm
2)8cm
3)4^2 cm
4)8^2cm​

Answer 1

Side of the square = 5 cm

We know that all the sides of a square are equal in length.

So, according to the Pythagoras Theorem, the square of the Hypotenuse is equal to the sum of the square of the rest of the two sides of a right-angled triangle.

From the given figure, we get

AB^2 + AD^2 = BD^2

or, 5^2 cm + 5^2 cm = BD^2

or, 25 cm + 25 cm = BD^2

or, 50 cm = BD^2

or, √50 cm = BD^2

or, 5√2 cm = BD

Answer:

The length of the diagonal is 5√2 cm.