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What is the perimeter of a triangle when its longest side is 162 mm with two of its angles being 37.25 degrees and 48.4 degrees?
Using the sine rule you can find the other two sides: Final angle = 180° - (37.25° + 48.4°) = 94.35° → other two sides are opposite the 37.25° and 48.4° angles as the longest side is opposite the largest angle. → the other two sides are: s1/sin 37.25° = 162mm / sin 94.35° → s1 = 162mm × sin 37.25°/sin 94.35° and s2 = 162mm × sin 48.4°/sin 94.35° → the perimeter = 162mm + 162mm × sin 37.25°/sin 94.35° + 162mm × sin 48.4°/sin 94.35° = 162mm (1 + (sin 37.25° + sin 48.4°)/sin 94.35°) ≈ 382 mm
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