Answer:
[tex] x = \sqrt{189} [/tex]
Step-by-step explanation:
Use pythagorean theorem to solve for x.
Thus:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 6
b = x = ?
c = 15
Plug in the values into the equation
[tex] 6^2 + x^2 = 15^2 [/tex]
[tex] 36 + x^2 = 225 [/tex]
Subtract 36 from each side
[tex] x^2 = 225 - 36 [/tex]
[tex] x^2 = 189 [/tex]
Take the square root of both sides
[tex] x = \sqrt{189} [/tex]
