Question

Solve this problem. What is x?

Don't forget to use the equation a² + b²= c².

Please show work 30 points.

Answer 1

a^2 + b^2 = c^2

a^2 = 6^2 + √117^2

a^2 + 36 = 117

a^2 = 117 - 36

a^2 = 81

a = √81

a = 9

x = 9

Answer 2

Step-by-step explanation:

HERE,

$\bold{(AB)^2+(BC)^2=(AC)^2 }$

According to the question,

$\tt{x^2+6^2=(\sqrt{117})^2 }$

$\tt{x^2+36=117 }$

$\tt{ x^2=117-36 }$

$\tt{x^2=81 }$

$\tt{x=\sqrt{81} }$

$\tt{x=9~or~x=-9 }$

As,length doesn't be minus

so,

x=9