Question

The hypotenuse of a 45-45-90 triangle measures 4 cm. What Is the length of one leg of the triangle

Answer 1

check the picture below.

Answer 2

2.83 cm.

Explanation:

We have been given that the hypotenuse of a 45-45-90 triangle measures 4 cm. We are asked to find the length of one leg of triangle.

We know that hypotenuse of 45-45-90 triangle is
`x√(2)` and each leg is x units.

We are told that hypotenuse of triangle is 4 cm, so we can set an equation as:

`x√(2)=4`

`(x√(2))/(√(2))=(4)/(√(2))`

`x=2.82842712474`

`x\approx 2.83`

Therefore, the length of each leg of triangle is approximately 2.83 cm.