The hypotenuse of a right triangle is 37 millimeters long. One leg of the right triangle is 12 millimeters long. What is the length of the other leg? (4 points)
30 millimeters
35 millimeters
40 millimeters
47 millimeters
To find the length of the other leg of the right triangle, we 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 denote the length of the unknown leg as 'x'. Using the Pythagorean theorem, we can write the equation as:
x^2 + 12^2 = 37^2
x^2 + 144 = 1369
x^2 = 1369 - 144
x^2 = 1225
Taking the square root of both sides, we find:
x = 35
Therefore, the length of the other leg is 35 millimeters.