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In any isosceles triangle ABC with AB = AC, the altitude AD bisects the base BC so that BD = DC. If AB = AC = 25 and BC = 18, then determine the length of the altitude .

 Jun 22, 2022
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                     A

 

            B      D       C

 

AD =  sqrt  [ AB^2  - [ (1/2)BC ] ^2 ]  =      sqrt [  25^2  -  9^2 ] =  sqrt [ 625 - 81 ]  =

 

sqrt [ 544 ]  ≈   23.32

 

 

 

cool cool cool

 Jun 22, 2022

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