If triangle hypotenuse is 13 and a side length is 5 what is the other side length

1 answer

To find the length of the other side of the triangle, you 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 other two sides.

In this case, let's call the other side length x. According to the Pythagorean Theorem, we have:

x^2 + 5^2 = 13^2

Simplifying the equation:

x^2 + 25 = 169

Subtracting 25 from both sides:

x^2 = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative, the length of the other side of the triangle is 12.