# If c is the measure of the hypotenuse of a right triangle, how do you find each missing measure given a=12, b=x-2, c=x?

Jan 31, 2017

I tried this:

#### Explanation:

We can try using Pythagora's Theorem and write:
${a}^{2} + {b}^{2} = {c}^{2}$
${12}^{2} + {\left(x - 2\right)}^{2} = {x}^{2}$
$144 + \cancel{{x}^{2}} - 4 x + 4 = \cancel{{x}^{2}}$
$4 x = 148$
$x = \frac{148}{4} = 37$
$c = 37$
$b = 37 - 2 = 35$