Question

if the square of the hypotenuse of an isosceles right triangle is 120 CM square find the length of each side.​

Answer 1

Answer:

2√15, 2√15, and 2√30

Step-by-step explanation:

Since it is isosceles we know the two legs are equal.

Based on the Pythagorean Theorem we know that a²+b²=c² when a and b are legs and c is the hypotenuse.

The hypotenuse squared is 120, so c²=120.

Now we know a²+b²=120

a=b, so 2a²=120

Now solve.

2a²=120

a²=60

a=√60

a=2√15

b=2√15

c=√120

c=2√30