Question

Directions - Create a Phythagorean Theorem equation for the diagram, then solve for the unknown side. If necessary, round to two decimal places.

Answer 1

`x^(2) +6^(2) =9^(2)`

x=6.71

Explanation:

The pythagorean theorem is a^2 + b^2 = c^2 where c is the longest side (hypotenuse).

For this right triangle, 9 = c, the hypotenuse. It's across from the right angle.

So
`x^(2) +6^(2) =9^(2)`

Solve for x

x^2 + 36 = 81

x^2 = 81-36

x^2 = 45

take square root of both sides

x = 6.7082039325

so rounded, x=6.71