Answer:
x = 6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Here we need to use the Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
STEP 1: Define your variables
The legs of the triangle are a and b, and the hypotenuse is c.
a = x
b = 4
c = 14
STEP 2: Plug your variables into the equation and solve
x^2 + 4^2 = 14^2
x^2 + 16 = 196
x^2 + 16 - 16 = 196 - 16
x^2 = 180
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]
STEP 3: Simplify
Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]
x = [tex]\sqrt{36}[/tex] * [tex]\sqrt{5}[/tex]
x = 6[tex]\sqrt{5}[/tex]
