Question

what is the value of x if (13, 84, x) is a pythagorean triple?

Explanation:

Step1: Apply Pythagorean theorem formula

For a Pythagorean triple \((a,b,c)\) (where \(c\) is the hypotenuse), \(a^{2}+b^{2}=c^{2}\). Here, \(a = 13\), \(b=84\).

$$13^{2}+84^{2}=x^{2}$$

Step2: Calculate squares

$$13^{2}=169$$

,

$$84^{2}=7056$$

Step3: Sum the squares

$$169 + 7056=x^{2}$$

$$x^{2}=7225$$

Step4: Find the square root

$$x=\sqrt{7225}$$

$$x = 85$$

Answer:

\(85\)