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Solve this problem. What is x?

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

Please show work 30 points.

Solve this problem What is x Dont forget to use the equation a b c Please show work 30 points class=

Respuesta :

musiclover10045

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

Step-by-step explanation:

HERE,

[tex]\bold{(AB)^2+(BC)^2=(AC)^2 }[/tex]

According to the question,

[tex]\tt{x^2+6^2=(\sqrt{117})^2 }[/tex]

[tex]\tt{x^2+36=117 }[/tex]

[tex]\tt{ x^2=117-36 }[/tex]

[tex]\tt{x^2=81 }[/tex]

[tex]\tt{x=\sqrt{81} }[/tex]

[tex]\tt{x=9~or~x=-9 }[/tex]

As,length doesn't be minus

so,

x=9

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