SOLUTION: What is the lenth of the smallest side of a triangle if the measures of the angles are in ratio 1:2:3, and the perimeter is 30 + 10√3?
~The only answer choice I have is 10
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Question 979366: What is the lenth of the smallest side of a triangle if the measures of the angles are in ratio 1:2:3, and the perimeter is 30 + 10√3?
~The only answer choice I have is 10 or 20. I have tried but with both attempts, I got it wrong. Please help!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If the angles are in a ratio of , then let be smallest angle.
The other angles are and respectively, so
so, this is a triangle, so the sides are in a ratio of .
Let
be first side
second side (hypotenuse of right triangle)
third side
Perimeter
Therefore, .
the smallest side is ,
the second side is , and
the third side is
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