The side of an isosceles triangle is 6 cm, height 4 cm. Find the radius of the circumscribed circle.

An isosceles triangle is a triangle in which 2 sides are equal (sides), and the angles are also equal at the third, unequal to the other two sides (base).
the radius of a circle described around an isosceles triangle can be found by the formula through the length of the side of the triangle and the height lowered to the base:
R = b ^ 2 / 2h,
where b is the length of the lateral side of an isosceles triangle, h is the length of the height dropped to the base.
Substitute the data on the condition of the value in the formula and find the radius of the circle described around the triangle:
R = 6 ^ 2/2 * 4 = 36/8 = 4.5 (cm).
Answer: R = 4.5 cm.