Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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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.
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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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