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.
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
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