Geometric Mean Task 4: Use the Geometric Mean formula. Solve for the length of side DB

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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Geometric Mean
Task 4: Use the Geometric Mean formula. Solve for the length of side DB
DB
Task 5: Complete the informal proof.
When an altitude to the hypotenuse of a right triangle splits it into two smaller triangles, all three triangles are
similar. Therefore, the similarty statement for the two smaller triangles is A
Because similar triangles have
sides, we can write the proportion:
This shows
that the altitude is the "geometric mean" of the two parts of the hypotenuse of the biggest triangle.
Transcribed Image Text:Geometric Mean Task 4: Use the Geometric Mean formula. Solve for the length of side DB DB Task 5: Complete the informal proof. When an altitude to the hypotenuse of a right triangle splits it into two smaller triangles, all three triangles are similar. Therefore, the similarty statement for the two smaller triangles is A Because similar triangles have sides, we can write the proportion: This shows that the altitude is the "geometric mean" of the two parts of the hypotenuse of the biggest triangle.
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