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A triangle, ABC

, has angle measures of 40
, 40
, and 100
and exactly two congruent (equal) sides. How would this triangle be classified?

1 answer

The triangle ABC, with angle measures of 40°, 40°, and 100°, can be classified based on its angles and sides.

  1. Angle Classification: Since one of the angles (100°) is greater than 90°, the triangle is classified as an obtuse triangle.

  2. Side Classification: Given that the triangle has exactly two congruent sides (the angles of 40° indicate the sides opposite them are equal), it is also classified as an isosceles triangle.

Therefore, triangle ABC is classified as an isosceles obtuse triangle.