Question

80 POINTS HELP 1. What is the value of x? Show all of your work.

Answer 1

Answer:

x = 9cm

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = ( sqrt(117) ^2)

36 + x^2 = 117

Subtract 36 from each side

x^2 = 117 -36

x^2 = 81

Take the square root of each side

sqrt(x^2) = sqrt(81)

x = 9

Answer 2

Answer:

a^2 + b^2 = c^2

x^2 + 6^2 = (square root 117)^2

x^2 = square root 117 ^2 - 6^2

x^2= 117 -36

x^2 = 81

x= 9