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... the Laws of Cosines and Sines • When two sides of a triangle and the angle between them are known the Law of Cosines is useful. It is also useful if all three sides of a triangle are known. • The Law of Sines is useful when we know a side and the angle opposite it and one other angle or one other si ...
... the Laws of Cosines and Sines • When two sides of a triangle and the angle between them are known the Law of Cosines is useful. It is also useful if all three sides of a triangle are known. • The Law of Sines is useful when we know a side and the angle opposite it and one other angle or one other si ...
Proving Properties of Triangles
... We show the two triangles in the diagram are congruent by reflecting △ADB over the line AB and showing that the result coincides with △ACB. Call D′ the image of D under the reflection about line AB. Since reflection about a line is a rigid motion of the Euclidean plane, it preserves both distances a ...
... We show the two triangles in the diagram are congruent by reflecting △ADB over the line AB and showing that the result coincides with △ACB. Call D′ the image of D under the reflection about line AB. Since reflection about a line is a rigid motion of the Euclidean plane, it preserves both distances a ...
