Similar triangle problem | Mathematics | Page 1

iron mango Sep 17, 2024, 1:33 AM

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I need help finding AD , this is a SAT practice problem

cerulean nimbusBOT Sep 17, 2024, 1:33 AM

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blazing widget Sep 17, 2024, 3:53 AM

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let AC = k , by sim triangles 2k = k + 10, k = 10

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AC = 10

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pythagaros theorem : AD^2 + DE^ = AE^

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since AE = AC + CE = 10+10 = 20

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DE given is 8

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AD^2 = 400-64 = 336

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AD = sqrt(336)

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x = 336

iron mango Sep 17, 2024, 3:57 AM

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I can’t believe that’s the answer

blazing widget Sep 17, 2024, 3:58 AM

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is it correct?

iron mango Sep 17, 2024, 3:58 AM

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I initially got that answer but I thought it was too big to be it

blazing widget Sep 17, 2024, 3:58 AM

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well sqrt(336) is approximately 18 so it seems reasonable

#Similar triangle problem