Question

Find the length of the third side. If necessary, write in simplest radical form. 7 V V85 Answer: Submit Ancialar ara buscar BI

Answer 1

Pythagorean Theorem

We have that in a right triangle, each side receive a name:

The Pythagorean Theorem says:

side 1² + side 2² = hypotenuse²

Finding side 2

In this case we have that

side 1 = 7

hypotenuse = √85

and we want to find side 2.

Using the formula of the pythagorean theorem:

side 1² + side 2² = hypotenuse²

↓ since side 1 = 7 and hypotenuse = √85

7² + side 2² = √85²

↓ since 7² = 49 and √85² = 85

49 + side 2² = 85

Now, we have an equation for side 2:

49 + side 2² = 85

↓ taking 49 to the right side

side 2² = 85 - 49 = 36

side 2² = 36

Since 6² = 36

Then side 2² = 6²

Then side 2 = 6

Answer: 6