Question

Is it possible for an angle in a triangle to be opposite both the longest side of the triangle and the shortest side of the triangle? Explain.
Yes, if the triangle is equilateral, then all the sides lengths are the same.


No, it is not possible because all three sides must be different lengths.


Yes, if the triangle is a right triangle, then all of the side lengths are the same.


Yes, if the triangle is isosceles, then the base angles are across from the two congruent sides.


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Answer 1

Answer:

The correct answer is B. No, it is not possible because all three sides must be different lengths.

Step-by-step explanation:

As you might guess, the largest angle will be opposite 18 because it is the longest side. Therefore, the angle measure in the middle will be opposite 13. Theorem: If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.