Question

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.

Answer 1

20 inches

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