Question

PLEASE HELP ME




8. Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Answer 1

Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).

I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18

9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)

factor 243 to find a perfect square

x = √(3*81)
x = 9√(3)