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Chapter 7.4.  The altitude is the Geometric Mean of the Segments of the Hypotenuse.

Published byMartha Logan Modified over 9 years ago

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Presentation on theme: "Chapter 7.4.  The altitude is the Geometric Mean of the Segments of the Hypotenuse."— Presentation transcript:

1 Chapter 7.4

2

3  The altitude is the Geometric Mean of the Segments of the Hypotenuse

4  Use the formula:

5  Ex 1: Write the formula for the geometric mean 1. Label the triangle 2. Write the formula

6  Ex 1: Write the formula for the geometric mean 3. Plug into the formula

7  Ex 2: Write the formula for the geometric mean

8  Ex 3: Write the formula for the geometric mean

9  Ex 4: Write the formula for the geometric mean

10  Ex 5: Write the formula for the geometric mean 1. Label the triangle

11  Ex 5: Write the formula for the geometric mean 2. Write the formula

12  Ex 5: Write the formula for the geometric mean 3. Plug into the formula

13  The leg is the Geometric Mean between the whole Hypotenuse and the Segment of the Hypotenuse adjacent to the leg

14  Use the formula:

15  Remember – Adjacent sides share a common vertex

16

17  Ex 6: Write the formula for the geometric mean using leg a. 1. Label the triangle 2. Write the formula

18  What is the length of the whole hypotenuse?

19  Ex 6: Write the formula for the geometric mean using leg a. 3. Plug into the formula

20  Ex 7: Write the formula for the geometric mean using leg x. 3. Plug into the formula

21  Ex 8: Write the formula for the geometric mean using leg m. 3. Plug into the formula

22  Ex 9: Write the formula for the geometric mean using leg x. 3. Plug into the formula

23  Ex 10: Write the formula for the geometric mean for side a. 1. Label the triangle

24  Ex 10: Write the formula for the geometric mean for side a. 2. Write the formula

25  Ex 10: Write the formula for the geometric mean for side a. 3. Plug into the formula

26  Ex 11: Write the formula for the geometric mean using leg b. 3. Plug into the formula

27  Ex 11: Write the formula for the geometric mean using leg b. 3. Plug into the formula

28 When you’re given the Altitude When you need to find the Altitude

29 When you’re given a Leg When you need to find a Leg

30

31  Ex 10: Write the formula for the geometric mean 3. Plug into the formula

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