Question

In a right-angled triangle,the square on the hypotenuse = the sum of the squares on its legs can it be Or not? ​

Answer 1

yes the square of hypotenuse is equal to the sum of square of the legs

this is called Pythagoras theorem in which (hypotenuse)² = (base)² + (height)²

e.g. let the hypotenuse = 5 cm

base = 4 cm

height = 3 cm

according to the theorem

(base)² + (height)² = (hypotenuse)²

4²+3²=5²

16+9=25

Answer 2

According to Pythagoras theorem,

The sum of square of height and base of a right-angled ∆ is equal to Hypotenuse square, i.e

(hypotenuse)²= (base)² + (height)²