Question

Which of the following words correctly describe a triangle with two 45 angles?

Answer 1

Well, first let's identify which answers are incorrect, then it will be easier to figure out which are correct.

A. Equilateral: An equilateral triangle is a triangle with 3 equal sides. Since there are 180 degrees in a triangle, an equilateral triangle would have three sides of 60 degrees, and none of 45 degrees. Answer? Incorrect.

B. Isosceles: An isosceles triangle has two sides that are equal. 45 and 45 are equal, therefore, this answer is: Correct!

C. Scalene: A scalene triangle has three unequal sides, therefore, this answer is incorrect.

D. Obtuse: An obtuse triangle has one angle that is more than 90 degrees, therefore, since 45 and 45 equal 90 already, this answer is: incorrect.

E. Right: A right triangle has one right angle (angle that equals 90 degrees) since 45 + 45 = 90, and 90 + 90 = 180, this answer is: Correct!

F. Equiangular: This last choice is practically the same as the first, therefore the answer is: incorrect.

The two correct answers are: B Isosceles, and E Right!

Answer 2

-- If the triangle has two equal angles, then it has two equal sides.
It's an 'isosceles' triangle.

-- If the triangle has two 45-degree angles, then the 3rd angle is 90 degrees.
It's a 'right' triangle.

Choices ' B ' and ' E ' are both correct.