Question

Find the length of the third side. If necessary, round to the nearest tenth.65Submit AnsAngTATOT.

Answer 1

So we have a right triangle and we are given the lengths of its two legs: 5 and 6. We need to find the length of the third side that is known as the hypotenuse. For this purpose we are going to use the Pythagorean Theorem that for a triangle with legs a and b it states that the hypotenuse is equal to:

`h=\sqrt[]{a^2+b^2}`

In our case we have a=5 and b=6 so the hypotenuse is equal to:

`h=\sqrt[]{5^2+6^2}=\sqrt[]{25+36}=\sqrt[]{61}`

And we need to round it to the nearest tenth. Using a calculator we get:

`\sqrt[]{61}=7.810249\ldots`

Rounding it to the nearest tenth give us the answer: 7.8