ashleyb
can someone please help me with this geometry question?? in right triangle ACE, line BD is parallel to line AE, and line BD is perpendicular to line EC at D. the length of line BD is 3 feet, and the length of line CD is 4 feet. what is the length in feet of line AE
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ashleyb
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|dw:1360370433442:dw|
jim_thompson5910
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First you need to find BC
jim_thompson5910
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do you know how to do this?
ashleyb
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is bc 5?
jim_thompson5910
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now set up the following ratio
AE/BD = AC/BC
x/3 = 20/5
solve for x
ashleyb
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jim_thompson5910
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you got it
ashleyb
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but why do u set up a ratio?
jim_thompson5910
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because the ratio of AE to BD is the same as the ratio of AC to BC
jim_thompson5910
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basically, to go from BD to AE, you multiply by 4
to go from BC to AC, you also multiply by 4
jim_thompson5910
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so the bigger triangle has side lengths that are 4 times larger than the smaller triangle
jim_thompson5910
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setting up a ratio is similar to that idea
ashleyb
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oh ok i get it! thank you for your help