Question
A 30-60-90 triangle is half of which of the following triangles?
Option #1: scalene triangle
Option #2: obtuse triangle
Option #3: equilateral triangle
(1 point)
The correct response is Optio
Option #1: scalene triangle
Option #2: obtuse triangle
Option #3: equilateral triangle
(1 point)
The correct response is Optio
Answers
GPT-4o mini
A 30-60-90 triangle is a special type of right triangle that has angles measuring 30 degrees, 60 degrees, and 90 degrees.
To determine which type of triangle a 30-60-90 triangle could be considered half of, we can analyze the options provided:
1. **Scalene triangle**: A scalene triangle has all sides of different lengths and angles of different measures. A 30-60-90 triangle is not necessarily half of a scalene triangle.
2. **Obtuse triangle**: An obtuse triangle has one angle greater than 90 degrees. A 30-60-90 triangle is a right triangle, thus it cannot be considered half of an obtuse triangle.
3. **Equilateral triangle**: An equilateral triangle has all angles measuring 60 degrees and all sides of equal length. If you take an equilateral triangle and draw an altitude from one vertex to the opposite side, you will create two 30-60-90 triangles.
Given this analysis, the correct response is **Option #3: equilateral triangle**. A 30-60-90 triangle can be formed by halving an equilateral triangle.
To determine which type of triangle a 30-60-90 triangle could be considered half of, we can analyze the options provided:
1. **Scalene triangle**: A scalene triangle has all sides of different lengths and angles of different measures. A 30-60-90 triangle is not necessarily half of a scalene triangle.
2. **Obtuse triangle**: An obtuse triangle has one angle greater than 90 degrees. A 30-60-90 triangle is a right triangle, thus it cannot be considered half of an obtuse triangle.
3. **Equilateral triangle**: An equilateral triangle has all angles measuring 60 degrees and all sides of equal length. If you take an equilateral triangle and draw an altitude from one vertex to the opposite side, you will create two 30-60-90 triangles.
Given this analysis, the correct response is **Option #3: equilateral triangle**. A 30-60-90 triangle can be formed by halving an equilateral triangle.