Question

what is the value of x in the right triangle shown below? 8 feet 12 feet 23 feet 18 feet

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 5\), \(c=13\), and \(b=x\).

Step2: Substitute values

$$5^{2}+x^{2}=13^{2}$$

Step3: Simplify

$$25+x^{2}=169$$

Step4: Solve for \(x^{2}\)

$$x^{2}=169 - 25=144$$

Step5: Find \(x\)

$$x=\sqrt{144}=12$$

Answer:

B. 12 feet