for each triangle, check all that apply.\ntriangle a\ntriangle b\ntriangle c\ntriangle d\nscalene\nisosceles\…

Explanation:

Step1: Recall triangle - type definitions

Scalene: No equal sides. Isosceles: At least two equal sides. Equilateral: All three sides equal.

Step2: Analyze Triangle A

It has angles 75°, 60°, 45°. Since all angles are different, all sides are different (by the law of sines). So it is scalene.

Step3: Analyze Triangle B

Sides are 7, 4, 10. All side - lengths are different. So it is scalene.

Step4: Analyze Triangle C

Sides are 10, 6, 6. Two sides are equal. So it is isosceles.

Step5: Analyze Triangle D

All angles are 60°. By the law of sines, all sides are equal. So it is equilateral.

Answer:

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