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Find the value of x.

Find the value of x.-example-1
User Olov
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1 Answer

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Answer: x=35

Explanation:

To find the value of x, we can use the Pythegorean Theorem because this is a right triangle.

Pythagorean Theorem: a²+b²=c²


12^2+x^2=(x+2)^2 [exponent and distribute]


144+x^2=x^2+4x+4 [subtract both sides by 144]


x^2=x^2+4x-140 [subtract both sides by x²+4x]


-4x=-140 [divide both sides by -4]


x=35

Now, we know that x=35.

User Skorulis
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