Prove that it is impossible for a scalene triangle to have two equal angles.?

Answer 1

The definition of scalene triangle means all the sides and ANGLES are different. If a scalene triangle has two equal angles, then it wouldn't be a scalene. It would be consider an isosceles triangle.

No matter where the two equal angles are, there will always be two equal sides to make it an isosceles. Scalene are always "different" looking since none of its sides or angles are equal to another.

Answer 2

Scalene Triangle. All sides have different lengths. The internal angles in a scalene Traingle are all different.

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Isosceles Triangle. A least two sides are equal in length. A Isosceles Triangle has two Equal internal Angles.

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Click on the URL below for additional information concerning Scalehe Triangles.

en.wikipedia.org/wiki/Triangle_(geometry)

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Answer 3

Impossible because a scalene triangle, which I learned about in 3rd grade, has 3 "out of scale" sides

Answer 4

theorem:sides opposite to equal angles are equal
so if a scalene triangle has two equal angles it means it will have two equal sides which is contra to the definition of scalene triangle
hence the statement

Answer 5

if it would have 2 equal angles so it wont be called a scalene triangle, it would be called isoscels. all angles are different that is why it is called scalene...