Question

What is the value of x if (13,84,x) is a Pythagorean triple?

Answer 1

85

Step-by-step explanation:

13 x 13 = 169

84 x 84 = 7056

7056 + 169 = 7225

The square root of 7225 is 85 so that's your answer.

Answer 2

x = 85

Explanation:

Formula

a^2 + b^2 = c^2

Givens

• a = 13
• b = 84
• c = x

Solution

• 13^2 + 84^2 = x^2 Substitute the givens into the formula
• 169 + 7056 = x^2 Add the left
• 7225 = x^2 Take the square root of both sides.
• sqrt(7225) = sqrt(x^2)
• x = 85