9.1 - Pythagorean Theorem - Mr. Urbanc's classroom · 9.1 Pythagorean Theorem 2 March 08, 2017...
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9.1 Pythagorean Theorem 1 March 08, 2017 9.1 Pythagorean Theorem I can... • Use the Pythagorean Theorem • Use the converse of the Pythagorean Theorem • Classify triangles Who is Pythagoras? a c b If right triangle, then a 2 +b 2 =c 2 . Pythagorean Triples All sides are positive integers 345 51213 81517 72425 Big 4! (Most common) 94041 116061 202129 123537 Others 3 4 5 Pythagorean Triples All sides are positive integers 345 51213 81517 72425 Big 4! (Most common) 94041 116061 202129 123537 Others
Transcript of 9.1 - Pythagorean Theorem - Mr. Urbanc's classroom · 9.1 Pythagorean Theorem 2 March 08, 2017...
9.1 Pythagorean Theorem
1
March 08, 2017
9.1 Pythagorean Theorem
I can...
• Use the Pythagorean Theorem
• Use the converse of the Pythagorean Theorem
• Classify triangles
Who is Pythagoras?
ac
b
If right triangle, then a2 + b2 = c2.
Pythagorean Triples All sides are positive integers
345 51213 81517 72425
Big 4! (Most common)
94041 116061
202129 123537
Others
3
4
5
Pythagorean Triples All sides are positive integers
345 51213 81517 72425
Big 4! (Most common)
94041 116061202129 123537Others
9.1 Pythagorean Theorem
2
March 08, 2017
Example #1Find the length of the hypotenuse in the triangle below.
12
16
Example #2A rectangle has a length of 20 inches and a width of 12 inches. What is the combined length of the two diagonals? Express your answer as a radical in reduced form.
Families of Pythagorean Triples
Multiples or divisors of common triples
345 51213 81517 72425
12
9a
b
2.56.5
4
3
dc
72
75
a.) b.)
c.) d.)
Example #3Find the missing side lengths in the right triangles below.
