for each triangle, check all that apply. triangle a triangle b triangle c triangle d scalene isosceles…

for each triangle, check all that apply. triangle a triangle b triangle c triangle d scalene isosceles equilateral scalene isosceles equilateral scalene isosceles equilateral scalene isosceles equilateral

for each triangle, check all that apply. triangle a triangle b triangle c triangle d scalene isosceles equilateral scalene isosceles equilateral scalene isosceles equilateral scalene isosceles equilateral

Answer

Explanation:

Step1: Recall triangle - type definitions

Scalene: All side - lengths are different. Isosceles: At least two side - lengths are equal. Equilateral: All side - lengths are equal.

Step2: Analyze Triangle A

The side - lengths are 5, 7, and 11. Since all side - lengths are different, it is scalene.

Step3: Analyze Triangle B

All angles are 60°. In a triangle, if all angles are 60°, then all sides are equal (by the law of sines or the fact that equal angles in a triangle correspond to equal sides). So it is equilateral. Since an equilateral triangle is also an isosceles triangle (it has at least two equal sides), it is isosceles and equilateral.

Step4: Analyze Triangle C

The angles are 45°, 60°, and 75°. The side - lengths are not equal (because the angles are not all equal). Since no two side - lengths are equal, it is scalene.

Step5: Analyze Triangle D

The side - lengths are 6, 6, and 10. Since two side - lengths are equal, it is isosceles.

Answer:

Triangle A: Scalene Triangle B: Isosceles, Equilateral Triangle C: Scalene Triangle D: Isosceles