Question

The diagonal of a square of side 10cm is......explain

Answer 1

Answer:

The diagonal of a square of side 10 cm is 10√2 cm

Step-by-step explanation:

See the attachment .

We know that ∠ABC = 90° .

Hence we can apply Pythagoras Theorem .

By Pythagoras theorem :

( hypotenuse )² = ( height )² + ( base )²

⇒ AC² = AB² + BC²

AB = 10 cm .

BC = 10 cm .

AC² = 10² + 10²

⇒ AC² = 100 + 100

⇒ AC² = 200

⇒ AC = √200

⇒ AC = √( 100 × 2 )

⇒ AC = 10√2

Hence AC = 10√2 cm

NOTE :

All angles of a square are right angles .

All sides are also equal .