In a triangle, one of the sides is equal to 7√2cm, the opposite angle is 45, find the radius of the circumscribed circle.

Let’s use the well-known formula to determine the radius of a circle circumscribed around a triangle. The radius of the circumscribed circle is equal to the ratio of the length of the side of the triangle to twice the sine of the angle opposite this side: R = AC: (2 * Sin (B)). It is known that Sin (45gr) = 1 / √ (2), where √ (2) means the square root of two. We get R = 7 * √ (2) cm: (2 * 1 / √ (2)) = 7 * √ (2) cm: (√ (2)) = 7 cm.
Answer: The radius of the circumscribed circle is 7 cm.