What is the perimeter of a scalene triangle that has a side of 8.2cm next to an angle of 43.84 degrees with an area of 18.18 square cm?

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Answer

1015212

2026-04-15 18:55

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Let the following side after the angle be x:-

If: 0.5*8.2*x*sin(43.84) = 18.18

Then: x = (2*18.18)/8.2*sin(43.84) = 6.4

Using the cosine rule the 3rd side works out as 5.7

Perimeter of scalene triangle: 8.2+6.4+5.7 = 20.3 cm

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