Question

find the value of x.
5
12
x

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 5\), \(b = 12\), and \(c=x\).
So, \(5^{2}+12^{2}=x^{2}\).

Step2: Calculate squares

\(5^{2}=25\), \(12^{2}=144\). Then \(25 + 144=x^{2}\).

Step3: Sum and find square root

\(25+144 = 169\), so \(x^{2}=169\). Taking the square root of both sides, \(x=\sqrt{169}\).

Answer:

\(13\)