CPM Homework Help : CCA2 Problem 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?

Step 1:

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

$3, 4, 5$

Step 2:

How many different orders result in the right triangle?

$6$

Step 3:

Now how many different combinations are there total.

$216$

Answer:

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