Question

Find the missing length to the nearest tenth

Answer 1

D: 12.4

Explanation:

Since the triangle is a right triangle, we are able to use the Pythagorean Theorem. The Pythagorean Theorem states that
`a^2+b^2=c^2` where "a" and "b" are both sides of the triangle and "c" is the hypotenuse.

In the problem, it is asking for the length of the hypotenuse. If we plug in the sides of the triangle into the Pythagorean Theorem we are able to find our answer.

Once we simplify, and find h, we then round it to the nearest tenth (as directed to do so in the question)

`3^2+12^2=h^2\\9+144=h^2\\153=h^2\\√(153) =h\\12.3693...=h\\h=12.4`

We find our answer of 12.4