Find the missing side of the right angle if on one side it 39 and the other side it 89.

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

Let's say the missing side is represented by x. According to the given information, one side is 39, which we can call side A, and the other side is 89, which we can call side B.

Using the Pythagorean theorem, we have:

A^2 + B^2 = x^2

Substituting the given values, we get:

39^2 + 89^2 = x^2

1512 + 7921 = x^2

9433 = x^2

To find x, we take the square root of both sides:

sqrt(9433) ≈ 97.10

Therefore, the missing side (hypotenuse) of the right angle triangle is approximately 97.10.