Question

find x.
submit
x =

inches
15 in.
12 in.

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (\(c = 15\) in) and \(a=x\), \(b = 12\) in. So \(x^{2}+12^{2}=15^{2}\).

Step2: Simplify the equation

\(x^{2}+144 = 225\). Then \(x^{2}=225 - 144\).

Step3: Calculate \(x^{2}\) and \(x\)

\(x^{2}=81\). Taking the square root of both sides, \(x=\sqrt{81}\) (since \(x>0\) for length), \(x = 9\).

Answer:

\(9\)