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. Select one: a. 9√3 ft

Algebra ->  Test -> 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. Select one: a. 9√3 ft      Log On


   



Question 1093664: 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.
Select one:
a. 9√3 ft
b. 36 ft
c. 18√3 ft
d. 9 ft

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The description is of a special 30-60-90 right triangle.
Angle at A is 60 degrees. Angle at B is 30 degrees. Angle at C is 90 degrees.

If c=18, then b=9.

Pythagorean Theorem: a%5E2%2B9%5E2=18%5E2

a=sqrt%2818%5E2-9%5E2%29
a=sqrt%28243%29
highlight%28a=9sqrt%283%29%29