Question

What is the value of x?

Round to the nearest tenth, if necessary.

x = 6

x = 11

x = 11.5

x = 13.6

Answer 1

A^2+B^2=c^2 for a right triangle
In this case x is a, b is 8 and c is 14 plug in
X^2= 14^2-8^2
X^2=132
X=11.48
X=11.5

Answer 2

ANSWER


`x = 11.5`
Step-by-step explanation

Triangle ABC is a right angle triangle.

We can apply the Pythagorean Theorem to get,


`{x}^(2) + {8}^(2) = {14}^(2)`

We now solve for x to get,


`{x}^(2) = {14}^(2) - {8}^(2)`
The right hand side is difference of two squares, this factors to give us,


`{x}^(2) = (14 - 8)(14 + 8)`


`{x}^(2) = 6 * 22`


`{x}^(2) = 132`

We take the positive square root of both sides to obtain,


`x = √(132)`


`x = 11.48`


`x = 11.5`