We want to find x. Let's look at the given diagram.
We can see on the diagram that the figure is a triangular prism. This means that the prism has two bases that are congruent triangles. When two triangles are congruent, their corresponding sides are congruent. We can mark the corresponding sides of the triangles on the diagram!
Notice that each base triangle has a right angle, so it is a right triangle. We can see that the missing side length x is the hypotenuse of the right triangle.
This means that we can use the Pythagorean Theorem to find x.
a^2+b^2=c^2
In the formula, a and b are the legs and c is the hypotenuse of a right triangle. Let's identify a, b, and c on the diagram!
We know that a is 14 inches, b is 48 inches, and c is x inches. Let's substitute these values into the formula.
