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C-57.

You roll three different-colored dice and use the numbers on the dice to determine the lengths of the sides of a triangle. For example, $3-3-5$ would be an isosceles triangle with base $5$. What is the probability of building a right triangle?

What right triangles have integral side values less than or equal to $6$?

$3, 4, 5$

How many different orders result in the right triangle?

$6$

Now how many different combinations are there total.

$216$

$3, 4, 5; \frac{6}{216}$