Question

Draw a triangle with circumradius 3.5 cm and two of its angles are 50° and 60°.
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Answer 1

Answer:

Draw a circle, with center O, and of radius 3.5 cm. Take any point, X, on the circumference. At the center O, make an angle XOZ = 140, Z being on the circumference. Join XZ. One side of the triangle is ready. Make an angle ZXY of 60 degrees, with Y on the major segment of the circle. Join YZ. Now XYZ is the desired triangle. If you measure the angle XYZ it will be found to be 70 degrees (half the angle subtended by XZ at the center, C) and <YZX will be 50 degrees.