in a triangle, the measure of the angle opposite to the longest side is: a.) greater than 60° b.) measure of 50° c.) greater than 90° d.) none of these
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Answer:
the angle opposite to the longest side is greater than 90°
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Answer:
The measure of the angle opposite to the longest side is greater than 60°
Step-by-step explanation:
In an equilateral triangle, all sides are equal and all angles are equal to 60°.
In case of a right angled triangle, the longest side is the hypotenuse which is opposite to 90°.
In case of an acute angled triangle the angle opposite to the longest side will be 90°<angle<60°.
In case if an obtuse angled triangle the angle opposite to the longest side will be angle>90°.
So to generalize, the measure of the angle opposite to the longest side is always greater than 60°.
So the correct answer is option (a) greater than 60°
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