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Measurement Pythagorean Relationship 2 (Finding the length of the Hypotenuse)

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Presentation on theme: "Measurement Pythagorean Relationship 2 (Finding the length of the Hypotenuse)"— Presentation transcript:

1 Measurement Pythagorean Relationship 2 (Finding the length of the Hypotenuse)

2 To review… In a right angle triangle, the side of the triangle opposite the right angle is called the hypotenuse. hypotenuse legs

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

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

5 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.

6 Applying the Pythagorean Relationship a b c Situation One: We know the lengths of the two legs (a and b) of a right triangle. How can we find the length of the hypotenuse (c)?

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

8 Applying the Pythagorean Relationship a b c Since: c 2 = a 2 + b 2 Then: c = (a 2 + b 2 )

9 Applying the Pythagorean Relationship a = 7m b = 5m c = ? Example: a = 7m; b = 5m c = (a 2 + b 2 ) c = ( ) c = ( ) c = 74 c = 8.6 m

10 Problem a = 3cm b = 6cm c = ? Find the length of the hypotenuse, “c”.


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