Question

Solve this problem. What is x?

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

Please show work 30 points.

Answer 1

Explanation:

HERE,

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

According to the question,

`\tt{x^2+6^2=(√(117))^2 }`

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

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

`\tt{x^2=81 }`

`\tt{x=√(81) }`

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

As,length doesn't be minus

so,

x=9

Answer 2

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