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Draw a large acute-angled triangle ABC. Carefully add the altitudes AE and BF to your drawing. Measure the lengths of AE, BF, BC, and AC. Where have you seen the equation (AE)(BC) = (BF)(AC) before? What can you say about the right triangles AEC and BFC? Justify your response.

Draw a large acute-angled triangle ABC. Carefully add the altitudes AE and BF to your drawing. Measure the lengths of AE, BF, BC, and AC. Where have you seen the equation (AE)(BC) = (BF)(AC) before? What can you say about the right triangles AEC and BFC? Justify your response.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Draw a large acute-angled triangle ABC. Carefully add the altitudes AE and BF to your drawing. Measure the lengths of AE, BF, BC, and AC. Where have you seen the equation (AE)(BC) = (BF)(AC) before? What can you say about the right triangles AEC and BFC? Justify your response.
Transcribed Image Text:Draw a large acute-angled triangle ABC. Carefully add the altitudes AE and BF to your drawing. Measure the lengths of AE, BF, BC, and AC. Where have you seen the equation (AE)(BC) = (BF)(AC) before? What can you say about the right triangles AEC and BFC? Justify your response.
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