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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}
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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
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.