SOLUTION: In a right triangle, let the short leg's lenght be A and the longer leg's length be B. Find A if B is the (square root of three) times as long as A and the hypotenuse is 20.

Algebra ->  Pythagorean-theorem -> SOLUTION: In a right triangle, let the short leg's lenght be A and the longer leg's length be B. Find A if B is the (square root of three) times as long as A and the hypotenuse is 20.      Log On


   

Question 178194: In a right triangle, let the short leg's lenght be A and the longer leg's length be B. Find A if B is the (square root of three) times as long as A and the hypotenuse is 20.
Answer by Alan3354(69443) About Me  (Show Source):
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In a right triangle, let the short leg's lenght be A and the longer leg's length be B. Find A if B is the (square root of three) times as long as A and the hypotenuse is 20.
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a+=+b%2Asqrt%283%29
a%5E2+%2B+b%5E2+=+20%5E2
Sub for a
%28b%2Asqrt%283%29%29%5E2+%2B+b%5E2+=+400
3b%5E2+%2B+b%5E2+=+400
4b%5E2+=+400
b = 10
a = 10*sqrt(3)