Question

prove 30° - 60° + 90° triangle theorem with diagram..




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Answer 1

Answer:

THE 30°-60°-90° TRIANGLE

THERE ARE TWO special triangles in trigonometry. One is the 30°-60°-90° triangle. The other is the isosceles right triangle. They are special because, with simple geometry, we can know the ratios of their sides.

Theorem.  In a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : .

Explanation:

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Answer 2

It is based on the fact that a 30°-60°-90° triangle is half of an equilateral triangle. Draw the straight line AD bisecting the angle at A into two 30° angles. Then AD is the perpendicular bisector of BC (Theorem 2). ... Now, since BD is equal to DC, then BD is half of BC.