Question
Makayla wants to classify the triangle below. Select all of the terms that apply.
Right triangle with base of 5 cm, height of 5 cm, and hypotenuse of 7.1 cm.
(1 point)
Responses
acute
acute - only 2 answers are allowed
isosceles
isosceles - only 2 answers are allowed
obtuse
obtuse - only 2 answers are allowed
right
right - only 2 answers are allowed
scalene
Right triangle with base of 5 cm, height of 5 cm, and hypotenuse of 7.1 cm.
(1 point)
Responses
acute
acute - only 2 answers are allowed
isosceles
isosceles - only 2 answers are allowed
obtuse
obtuse - only 2 answers are allowed
right
right - only 2 answers are allowed
scalene
Answers
GPT-4o mini
Let's analyze the triangle given the dimensions:
1. **Right triangle**: Since it's specified as a right triangle, it has one angle that measures 90 degrees. Therefore, this triangle is categorized as a right triangle.
2. **Type of angles**: The description states it's a right triangle, and since it has one right angle, the other two angles must be acute (less than 90 degrees).
3. **Sides**:
- The lengths of the sides are 5 cm (base), 5 cm (height), and 7.1 cm (hypotenuse).
- Since the base and height are both 5 cm, this means two sides are of equal length.
Given the classifications:
- **Right**: Yes, it is a right triangle.
- **Acute**: Yes, it has two acute angles.
- **Isosceles**: Yes, since it has two sides (5 cm and 5 cm) that are equal.
- **Obtuse**: No, it cannot be obtuse since it is a right triangle.
- **Scalene**: No, it cannot be scalene because it has two equal sides.
Thus, the applicable terms are:
- Right
- Isosceles (only two answers are allowed, so you can choose either isosceles or acute, but not both).
### Final Response:
- Right
- Isosceles
1. **Right triangle**: Since it's specified as a right triangle, it has one angle that measures 90 degrees. Therefore, this triangle is categorized as a right triangle.
2. **Type of angles**: The description states it's a right triangle, and since it has one right angle, the other two angles must be acute (less than 90 degrees).
3. **Sides**:
- The lengths of the sides are 5 cm (base), 5 cm (height), and 7.1 cm (hypotenuse).
- Since the base and height are both 5 cm, this means two sides are of equal length.
Given the classifications:
- **Right**: Yes, it is a right triangle.
- **Acute**: Yes, it has two acute angles.
- **Isosceles**: Yes, since it has two sides (5 cm and 5 cm) that are equal.
- **Obtuse**: No, it cannot be obtuse since it is a right triangle.
- **Scalene**: No, it cannot be scalene because it has two equal sides.
Thus, the applicable terms are:
- Right
- Isosceles (only two answers are allowed, so you can choose either isosceles or acute, but not both).
### Final Response:
- Right
- Isosceles