Question

PLEASE HELP 20 POINTS

Solve for x



Round to the nearest tenth, if necessary.

Answer 1

x = 17.6

Explanation:

This is a right triangle.

To find the value of x, the length of the hypotenuse, we write the following equation using Pythagoras theorem:

`{a}^(2) + {b}^(2) = {c}^(2)`

• Given legs' lengths, 12 and 13, are a and b respectively

`{12}^(2) + {13}^(2) = {x}^(2)`

• Find the square value of legs

`144 + 169 = {x}^(2)`

• Find the sum

`313 = {x}^(2)`

• Calculate the root for both sides

x = 17.6 approximately