WEBVTT

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Here is the problem: Solve the triangle with A equals 35°, B equals 75° and c equals 12.

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Side a is opposite angle A, b opposite B and c opposite C. This is the ASA case.

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Third angle from the angle sum.

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Remaining sides from the law of sines.

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Area and perimeter.

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So the answer is a equals 7.324647533, b equals 12.33500153, c equals 12; A equals 35°, B equals 75°, C equals 70°; area equals 42.45039732, perimeter equals 31.65964906.

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Three measurements including a side normally fix a triangle. Two sides with a non-included angle (SSA) can give zero, one or two triangles.

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Triangle 1: angles sum to 180°; a/sin A equals 12.77013327 equals c/sin C equals 12.77013327.