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Triangle DEF is equilateral. Find AE.

DA = 3, AF = 2

 

 Aug 12, 2024
 #1
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We can use the Law of Cosines to solve this problem. Applying it, the law states that

\(AE^2 = AF^2 + FE^2 - 2 (AF * FE) cos (60°) \)

 

Now, plugging in the values from the problem we already know, we find that

\( AE^2 = 2^2 + 5^2 - 2(2* 5) (1/2)\\ AE^2 = 19\\ AE = \sqrt {19}\)

 

Thanks! :)

 Aug 13, 2024
edited by NotThatSmart  Aug 13, 2024

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