Question

find the value of x 2 15 12 x

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Simplify the equation

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

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

\(x^{2}=81\).

Step4: Solve for \(x\)

Take the square root of both sides. Since \(x\) represents the length of a side of a triangle (\(x>0\)), \(x=\sqrt{81}\).

Answer:

\(9\)