Question

What is the length of the missing side?

A right triangle is drawn. The short segment adjacent to the right angle is unknown. the long segment adjacent to the right angle is 45 millimeters. The segment opposite the right angle is 53 millimeters.

Answers

GPT 3.5
To find the missing 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 the missing side be x.

Using the Pythagorean theorem:

x^2 + 45^2 = 53^2
x^2 + 2025 = 2809
x^2 = 2809 - 2025
x^2 = 784
x = √784
x = 28

Therefore, the missing side has a length of 28 millimeters.