Question

The hypotenuse of an isosceles right triangle is 5 centimeters long. how long are its sides

Answer 1

2a²=25
a²=25/2
a=√(25/2)
a=5/√2
a=5√2/2

Answer 2

The sides are approx 3.54 cm.

Explanation:

We know that an isosceles triangle has 2 sides equal.

Given is that the hypotenuse is 5 cm, lets say the remaining two sides are same and they are x

So, as per Pythagoras formula, we get;

`x^(2) +x^(2) =5^(2)`

=>
`2x^(2) =25`

Dividing both sides by 2:

=>
`x^(2) =12.5`

x = 3.54 approx

Hence, the sides are approx 3.54 cm.