Find the length of the third side. If necessary, round to the nearest tenth.

Question

13 and 5

Answer 1

To find the length of the third side, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's call the length of the third side "x". Using the Pythagorean theorem, we have:

13^2 = 5^2 + x^2

169 = 25 + x^2

144 = x^2

Taking the square root of both sides:

x = √144

x ≈ 12.0

So, the length of the third side is approximately 12.0.