Triangle ABC is isosceles, find the radius of the circle around this triangle if AB = AC = 10m and BC = 16m

A triangle with the same two sides is isosceles. If a circle passes through all the vertices of a triangle, then it will be circumscribed around this triangle.

To find the radius (R) of such a circle, use the following formula:

R = a² / √ (2 * a) ² – b², where a is the equal sides of the triangle (10 m), and b is the third side, the base of the triangle (16 m).

R = 10² / √ (2 * 10) ² – 16² = 100 / √400 – 256 = 100 / √144 = 100/12 = 8.33 m.

Answer: the radius of the circumscribed circle is 8.33 m.