Answer:
Side AC is the longest side.
Step-by-step explanation:
Since all sides of a triangle add up to 180 degrees, make this equation:
60 + (3x - 2) + (2x + 7) = 180
Solve for x, then plug that into the original equations to find each angle. Whichever side the largest angle is opposite of is the longest line.
So that's AC!
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Edmentum/PLATO users!!
In a Triangle the side opposite to the largest side is the longest , so side AC will be the longest.
According to the angle sum property , the sum of the interior angles of a triangle is equal to 180 degree.
For a Triangle ABC
m∠A + m∠B +m∠C= 180°
It is given in the question that
m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°
Substituting
60 + 3x -2 +2x +7 = 180
5x + 5 = 120
5x = 115
x = 23
m∠A = 60°,
m∠B = (3x − 2)° = 3 * 23 - 2 = 67
m∠C = (2x + 7)° = 2 * 23 +7 = 53
In a Triangle the side opposite to the largest side is the longest , so side AC will be the longest.
To know more about Angle Sum Property
https://brainly.com/question/4316040
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