Question

one leg of a right triangle is 1 millimeter shorter than the longer leg and the hypotenuse is 1 millimeter longer than the longer leg. find the lengths of the sides of the triangle. the length of the longer leg is 4 millimeters. the length of the shorter leg is \boxed{}

Explanation:

Step1: Define the longer leg length

Let the length of the longer leg be \( x \) millimeters. Given \( x = 4 \) millimeters.

Step2: Calculate the shorter leg length

The shorter leg is 1 millimeter shorter than the longer leg. So, the length of the shorter leg is \( x - 1 \). Substituting \( x = 4 \), we get \( 4 - 1 = 3 \) millimeters.

Answer:

3