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List the sides of triangle ABC in order from shortest to longest when mof side A equals 11x-4 measurement of angle B equals 4x-11 and measurement of angle C equals 51-3x?
Wiki User
∙ 14y ago
Since the sum of the angles of a triangle is 180 degrees, we have:
(11x - 4) + (4x - 11) + (51 - 3x) = 180
11x + 4x - 3x - 4 -11 + 51 = 180
12x + 36 = 180 (subtract 36 from both sides)
12x = 144 (divide by 12 to both sides)
x = 12
The measure of angle A = 11x - 4 = 11(12) - 4 = 132 - 4 = 128 degrees, which is the largest angle of the triangle. Therefore, the longest side a is opposite to the angle A.
The measure of angle B = 4x - 11 = 4(12) - 11 = 48 - 11 = 37 degrees. The side b is opposite to the angle B.
The measure of angle C = 51 - 3x = 51 - 3(12) = 51 - 36 = 15 degrees, which is the smallest angle of the triangle. Therefore, the shortest side c is opposite to the angle C.
Thus, we can list the sides of the triangle from the shortest to the longest as c, b, and a.
Wiki User
∙ 14y ago
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Er>rd>ed
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Er>rd>ed
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