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The measure of an angle of an isosceles triangle is 30°, the shorter side is 20 in. Find a distance from point P to the vertex of a triangle, if P is equidistant from all vertices.

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sqdancefan

Answer:

  20 inches

Step-by-step explanation:

There are two triangle solutions, but each has the same circumcircle radius.

__

The formula for the radius of the circumcircle of an isosceles triangle is ...

  r = a/(2sin(A))

Here, we have side a = 20 inches, and A = 30°. So the radius is ...

  r = 20/(2×1/2) = 20 . . . inches

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