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Chapter 7.4 The altitude is the Geometric Mean of the Segments of the Hypotenuse Use the formula: Ex 1: Write the formula for the geometric mean 1. Label the triangle 2. Write the formula Ex 1: Write the formula for the geometric mean 3. Plug into the formula Ex 2: Write the formula for the geometric mean Ex 3: Write the formula for the geometric mean Ex 4: Write the formula for the geometric mean Ex 5: Write the formula for the geometric mean 1. Label the triangle Ex 5: Write the formula for the geometric mean 2. Write the formula Ex 5: Write the formula for the geometric mean 3. Plug into the formula The leg is the Geometric Mean between the whole Hypotenuse and the Segment of the Hypotenuse adjacent to the leg Use the formula: Remember – Adjacent sides share a common vertex Remember – Adjacent sides share a common vertex Ex 6: Write the formula for the geometric mean using leg a. 1. Label the triangle 2. Write the formula What is the length of the whole hypotenuse? Ex 6: Write the formula for the geometric mean using leg a. 3. Plug into the formula Ex 7: Write the formula for the geometric mean using leg x. 3. Plug into the formula Ex 8: Write the formula for the geometric mean using leg m. 3. Plug into the formula Ex 9: Write the formula for the geometric mean using leg x. 3. Plug into the formula Ex 10: Write the formula for the geometric mean for side a. 1. Label the triangle Ex 10: Write the formula for the geometric mean for side a. 2. Write the formula Ex 10: Write the formula for the geometric mean for side a. 3. Plug into the formula Ex 11: Write the formula for the geometric mean using leg b. 3. Plug into the formula Ex 11: Write the formula for the geometric mean using leg b. 3. Plug into the formula When you’re given the Altitude When you need to find the Altitude When you’re given a Leg When you need to find a Leg Ex 10: Write the formula for the geometric mean 3. Plug into the formula