Families of Right Triangles

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Families of Right Triangles

Look for a pattern in these triangles.

• Triangles B, C, D are multiples of triangle A • This is called the {3, 4, 5} family • There are infinite members of this family.

• Other common families that will help you by saving time • {5, 12, 13} • {7, 24, 25} • (8, 15, 17} • There are infinitely many more families but these are the most common

• • Which family does this triangle belong to?

Look for the greatest common factor of both given sides. • GCF = 2, divide this out of both sides.

• This triangle belongs to {5, 12, 13} • Missing side is 13(2) = 26

• • • Which family does this triangle belong to?

This is a {3, 4, 5} that has been divided by 2 So the missing side is 5 2

• Which family does this belong to?

• What family does this belong to?

• All of these can still be solved using the Pythagorean Theorem if you do not recognize a family.

• The idea of families is to make your life easier not harder.

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