Question

Find the value of x.

Answer 1

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.