Look at triangle ABC:
A right triangle ABC is shown with the right angle at B. The length of side AB is labeled as 14 mm, and the length of side BC is labeled as 48 mm.
What is the length (in millimeters) of side AC of the triangle? (1 point)
34 millimeters
50 millimeters
62 millimeters
70 millimeters
To find the length of side AC, we can use the Pythagorean theorem, which states that for a right triangle, the square 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, the hypotenuse is side AC, and the other two sides are AB and BC. We can express this as the equation:
AC^2 = AB^2 + BC^2
Plugging in the given values:
AC^2 = 14^2 + 48^2
AC^2 = 196 + 2304
AC^2 = 2500
Taking the square root of both sides to solve for AC:
AC = √2500
AC = 50
Therefore, the length of side AC is 50 millimeters.