Question

Сторона трикутника дорівнює 5 см а прилеглі до неї кути дорівнюють 79 градусів і 56 градусів. Знайдіть радіус кола описаного навколо цього трикутника. Будь ласка терміновоооо даю 35 балів​

Answer 1

To find the radius of the circle circumscribed around a triangle, we can use the formula:

Radius = (side length of the triangle) / (2 * sin(angle))

In this case, the side length of the triangle is given as 5 cm, and the adjacent angles are given as 79 degrees and 56 degrees.

Let's calculate the radius using the formula:

Calculation:

Radius = (5 cm) / (2 * sin(79 degrees)) = 5 cm / (2 * 0.982) = 5 cm / 1.964 = 2.54 cm

Therefore, the radius of the circle circumscribed around this triangle is approximately 2.54 cm.

Please note that the calculation is based on the given information and the assumption that the triangle is a non-degenerate triangle.