Question 1059110: A triangle has measures of 5x,(3x-12) and (2x+2).Classify the type of triangle and find its angle measure.
Answer by solve_for_x(190)   (Show Source):
You can put this solution on YOUR website! First, determine the value of x, so that you can calculate the measure of each angle.
The sum of the three angles must be equal to 180 degrees, so you can write:
5x + (3x - 12) + (2x + 2) = 180
5x + 3x + 2x - 12 + 2 = 180
10x - 10 = 180
10x = 190
x = 19
The three angles are then:
5x = 5(19) = 95 degrees
3x - 12 = 3(19) - 12 = 45 degrees
2x + 2 = 2(19) + 2 = 40 degrees
Since one of the angles is greater than 90 degrees, this is an obtuse triangle.
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