Question

The square of the hypotenuse of an isosceles right triangle is 200sq.cm, find the length of each side ​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

Given that Square of hypotenuse of an isosceles right triangle is 200 sq.cm.

An isosceles triangle has two equal side lengths.

Let the length of each equal side be 'x'.

⇒ x² + x² = 200

⇒ 2x² = 200

⇒ x² = 100

⇒ x = √100

⇒ x = 10

Therefore, length of each equal side = 10 cm

sides of the isosceles triangle=10cm,10cm and 10√2cm

Answer 2

Answer:

let the length of base be =x

length of perpendicular be =x [ given triangle is isosceles ]

A.TQ

H2=200cm

a2+a2=200cm

2a2=200cm

a2=200/2

a2=100cm

a=10cm

base=10cm

perpendicular=10cm

Hypotenuse=10√2cm