Question

for each triangle, check all that apply. triangle a 60° 60° 60° scalene isosceles equilateral triangle b 7 7 scalene isosceles equilateral triangle c 6 6 10 scalene isosceles equilateral triangle d 30° 60° scalene isosceles equilateral

Explanation:

Step1: Recall triangle - type definitions

A scalene triangle has no equal sides. An isosceles triangle has at least two equal sides. An equilateral triangle has all three sides equal.

Step2: Analyze Triangle A

All angles are 60°, so all sides are equal (by the angle - side relationship in triangles). It is equilateral. Since an equilateral triangle is also isosceles, it is isosceles and equilateral.

Step3: Analyze Triangle B

Two sides have length 7. So it is isosceles. It is not equilateral as all three sides are not equal. It is not scalene as it has equal sides.

Step4: Analyze Triangle C

Two sides have length 6. So it is isosceles. It is not equilateral as all three sides are not equal. It is not scalene as it has equal sides.

Step5: Analyze Triangle D

It has one right - angle and angles 30° and 60°. No sides are equal. So it is scalene.

Answer:

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