Question

what is the length of the hypotenuse, x, if (12, 35, x) is a pythagorean triple?

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 12\), \(b=35\), and \(c=x\) (hypotenuse).

Step2: Substitute values

$$12^{2}+35^{2}=x^{2}$$
$$144 + 1225=x^{2}$$

Step3: Calculate sum

$$x^{2}=1369$$

Step4: Find square - root

$$x=\sqrt{1369}$$
$$x = 37$$

Answer:

\(37\)