Right Triangle Similarity - Geometric Mean

Lesson: 

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Description: 

This worksheet contains problems on similarity in right triangles and the geometric mean. Students must find the geometric mean between two numbers and understand and apply the relationships that exist when an altitude is drawn to the hypotenuse in a right triangle.

Number of Problems: 

0

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0

Answer Key: 

No

Samples: 

1) Find the geometric mean of 180 and 5.

2) Find the geometric mean of 48 and 3.

5) Find the length of the altitude drawn to the hypotenuse.

9) The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of length a and b. Describe how to find the area of the triangle in terms of a and b.

10) The ratio of the segments into which the altitude to the hypotenuse of a right triangle divides the hypotenuse is 9 : 4. What is the length of the altitud