The length of the hypothesis of a right-angled triangle is 6 cm. Find the radius of the circle containing the vertices of this triangle.
| January 15, 2021 | education
In order to determine the radius and diameter of a circle circumscribed around a right-angled triangle, you need to remember several properties of such triangles.
Given: hypotenuse c = 6 cm. Determine the radius of the circumscribed circle r = d / 2. (d is the diameter of the circle).
The right angle in the circumscribed circle around it rests on the diameter of this triangle. This is where the calculations can be completed, assuming that c = d = 2 * r, whence the radius of the circle r = d / 2 = c / 2 = 6 cm / 2 = 3 cm.
Answer: the radius of the circle is r = 3 cm.
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