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| Math Central | Quandaries & Queries |
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Question from Kamerson: i have been given a problem with a 30-60-90 triangle and a circle inscribed with a radius of 2 and was told to find the perimeter of the triangle |
Hi Kamerson,
You can solve this problem using two facts.
First for a 30-6--90 triangle the lengths of the sides are in the ratio $1:2:\sqrt{3}.$
For the second fact I need to draw a diagram.
P is the center of the circle and D, E and F are points of tangency. The fact I see is that triangles PFC and DPC are congruent.
Can you solve the problem now?
Penny
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