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Measurement Pythagorean Relationship 3 (Finding the length of an unknown leg)

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Presentation on theme: "Measurement Pythagorean Relationship 3 (Finding the length of an unknown leg)"— Presentation transcript:

1 Measurement Pythagorean Relationship 3 (Finding the length of an unknown leg)

2 Pythagorean Relationship a 2 + b 2 = c 2 a c b b Area = b 2 Area = a 2 a c Area = c 2

3 Applying the Pythagorean Relationship We know that: a 2 + b 2 = c 2 a b c

4 Applying the Pythagorean Relationship a b c Using this… If we know the lengths of ANY two sides of a right angle triangle, we can use the Pythagorean Relationship to find the length of the unknown side.

5 Applying the Pythagorean Relationship a b c Situation Two: We know the lengths of the hypotenuse (c) and one leg (b) of a right angle triangle. How can we find the length of the other leg (a)?

6 Applying the Pythagorean Relationship a b c Since we know that: a 2 + b 2 = c 2 Then: a 2 = c 2 - b 2

7 Applying the Pythagorean Relationship a b c Since: a 2 = c 2 - b 2 Then: a = (c 2 - b 2 )

8 Applying the Pythagorean Relationship a = ? b = 5m c = 9 Example: c = 9m; b = 5m a = (c 2 - b 2 ) a = ( ) a = ( ) a = 56 a = 7.5 m

9 Problem a = ? b = 6.2cm c = 8.5cm Find the length of the unknown side (a).


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