Question

Given a right triangle with legs 5cm and 12cm, find the length of the hypotenus. Show work please

Answer 1

13 cm

Explanation:

We can use the Pythagorean Theorem to find the length of the hypotenuse. The Pythagorean Theorem is used to find a missing side to a right triangle.

The theorem states that
`a^2 + b^2 = c^2`, where a and b are the legs, and c is the hypotenuse.

The legs of this triangle are already states - 5 and 12, so we can plug it's values into the formula.

`5^2 + 12^2 = c^2\\\\25 + 144 = c^2\\\\169 = c^2\\\\c = √(169)\\\\c=13`

So the hypotenuse of this triangle is 13 cm.

Hope this helped!