Question

What if the value of x? show all work

Answer 1

For this case we can make use of the Pythagorean theorem.
 We have then:
 (root (117)) ^ 2 = x ^ 2 + 6 ^ 2
 Clearing x we have:
 x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
 Rewriting:
 x = root (117-36)
 x = root (81)
 x = 9
 Answer:
 The value of x is given by:
 x = 9 cm