Line segment BC – diameter, BD – chord, the length of which is equal to the radius of the circle.
| September 7, 2021 | education
Line segment BC – diameter, BD – chord, the length of which is equal to the radius of the circle. Find the measure of each corner of the OBD triangle. Prove that the OBD triangle is equilateral.
Construct the radius of the circle to the point D of the chord BD.
By hypothesis, the length of the chord is equal to the radius of the circle, then in the triangle ОВD ОВ = ВD = ОD = R, and therefore, the triangle ОВD is equilateral, which was required to prove.
In an equilateral triangle, all interior angles are 60.
Answer: The angles of the OBD triangle are 60.
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