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How to do triangle maths, not trigonometry?

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How to do triangle maths, not trigonometry?

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Pythagoras is one but there is also stuff on triangles in a circle, the sine rule and the cosine rule Pythagoras: C^2 = A^2 + B^2 a/sinA = b/sinB = c/sinC a^2 = b^2 + c^2 -2bc x cosA also e.g. if a triangle with its base being the diameter of the circle has a corner of the triangle touching the circumference it is a right angle etc also there are rules for different types of triangle eg.

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