Question

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

Answer 1

Answer:

2.83 cm.

Step-by-step 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 $x\sqrt{2}$ and each leg is x units.

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

$x\sqrt{2}=4$

$\frac{x\sqrt{2}}{\sqrt{2}}=\frac{4}{\sqrt{2}}$

$x=2.82842712474$

$x\approx 2.83$

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

Answer 2

Check the picture below.