SOLUTION: In a right triangle, if angle A is 30 degrees, what are the measures of sides a, b, c? Please show work. Thank you.

Question 955345: In a right triangle, if angle A is 30 degrees, what are the measures of sides a, b, c? Please show work. Thank you.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
The triangle is a 30-60-90 triangle, so we already know
the sides are in the ratio of but to show work:
A=30 degree angle , side opposite=a
B=60 degree angle, side opposite=b
C=90 degree angle, side opposite=c=hypotenuse
sin(30)=opposite/hypotenuse=a/c
sin(30)c=a
c=a/sin(30) a=1,so:
c=1/0.5=2 When a=1, c=2

So,if,then , and .

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