Question

Find the value of x on this triangle

Answer 1

x = 35

Explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (x+2)^2

FOIL

x^2+144=x^2+4x+4

Subtract x^2 from each side

144= 4x+4

Subtract 4 from each side

140 = 4x

Divide by 4

35 =x