Question

Find the value of x.

Answer 1

Answer: x=35

Step-by-step 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.