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 [tex]x\sqrt{2}[/tex] and each leg is x units.
We are told that hypotenuse of triangle is 4 cm, so we can set an equation as:
[tex]x\sqrt{2}=4[/tex]
[tex]\frac{x\sqrt{2}}{\sqrt{2}}=\frac{4}{\sqrt{2}}[/tex]
[tex]x=2.82842712474[/tex]
[tex]x\approx 2.83[/tex]
Therefore, the length of each leg of triangle is approximately 2.83 cm.
