Question

1. x =

9
12

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 9\), \(b = 12\), and \(c=x\) (hypotenuse).
So, \(x^{2}=9^{2}+12^{2}\).

Step2: Calculate the squares

\(9^{2}=81\) and \(12^{2}=144\). Then \(x^{2}=81 + 144\).

Step3: Sum the values

\(81+144 = 225\), so \(x^{2}=225\).

Step4: Find the square root

\(x=\sqrt{225}\).

Answer:

\(15\)