Question 1150861
An oblique triangle is any triangle that is not a right triangle.
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The third angle of the given triangle is 180 -(60+50) = 70 degrees
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using the law of sines
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400/sin(70) = x/sin(50)
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cross-multiply fractions and solve for x
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x = (400 * sin(50))/sin(70) = 326.083
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400/sin(70) = x/sin(60)
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x = (400 * sin(60))/sin(70) = 368.642
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the three sides are 400, 326.083 and 368.642
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use Heron's formula to calculate the area of the triangle
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s = (400 +326.083 +368.642)/2 = 547.3625
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Area of triangle = square root(547.3625 * (547.3625-400) * (547.3625 - 326.083) * (547.3625 - 368.642)) = 56479.2325
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Area of triangle is 56479.2325 square cm
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