Use the image to answer the question. The image depicts a prism. The prism has a line going through it. The front side is labeled 3 cm. The right side is labeled 4 cm and the left side is labeled 12 cm tall. Find the length of the diagonal of the prism
To find the length of the diagonal of the prism, we can use the Pythagorean theorem.
The diagonal forms a right triangle with the front, right, and left sides of the prism.
Let's call the length of the diagonal D.
Using the Pythagorean theorem:
D^2 = 3^2 + 4^2 + 12^2
D^2 = 9 + 16 + 144
D^2 = 169
D = √169
D = 13 cm
Therefore, the length of the diagonal of the prism is 13 cm.