SOLUTION: Assuming that side c is the longest side, what length for side a will produce a right triangle? In triangle ABC, A = 60°, and side c = 18 ft.

Algebra ->  Trigonometry-basics -> SOLUTION: Assuming that side c is the longest side, what length for side a will produce a right triangle? In triangle ABC, A = 60°, and side c = 18 ft.      Log On


   



Question 1091196: Assuming that side c is the longest side, what length for side a will produce a right triangle? In triangle ABC, A = 60°, and side c = 18 ft.
Answer by Alan3354(69443) About Me  (Show Source):
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Assuming that side c is the longest side, what length for side a will produce a right triangle? In triangle ABC, A = 60°, and side c = 18 ft.
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The 2 sides are:
18*sin(60)
18*cos(60)
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If side a is opposite angle A,
a = 18*sin(60) = 18*(sqrt(3)/2)
a = 9*sqrt(3) ft