Question
Google Classroom
Microsoft Teams
Problem
Which side lengths form a right triangle?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
(Choice B)
B
(Choice C)
C
Microsoft Teams
Problem
Which side lengths form a right triangle?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
(Choice B)
B
(Choice C)
C
Answers
GPT-4o mini
To determine which sets of side lengths can form a right triangle, we can use the Pythagorean theorem, which states that for a triangle with side lengths \(a\), \(b\), and \(c\) (where \(c\) is the length of the hypotenuse), the following must hold true:
\[ a^2 + b^2 = c^2 \]
Since the actual side lengths for choices A, B, and C are not provided in your question, I can't evaluate them directly. However, here's how you can apply the Pythagorean theorem to each choice you have:
1. Identify the longest side (this will be \(c\)).
2. Square all three sides.
3. Check if the sum of the squares of the two shorter sides equals the square of the longest side.
For example:
- For side lengths 3, 4, and 5:
- \(3^2 + 4^2 = 9 + 16 = 25\)
- \(5^2 = 25\)
- Since both sides are equal, this forms a right triangle.
If you can provide the side lengths for choices A, B, and C, I would be happy to help you determine which set of lengths forms a right triangle!
\[ a^2 + b^2 = c^2 \]
Since the actual side lengths for choices A, B, and C are not provided in your question, I can't evaluate them directly. However, here's how you can apply the Pythagorean theorem to each choice you have:
1. Identify the longest side (this will be \(c\)).
2. Square all three sides.
3. Check if the sum of the squares of the two shorter sides equals the square of the longest side.
For example:
- For side lengths 3, 4, and 5:
- \(3^2 + 4^2 = 9 + 16 = 25\)
- \(5^2 = 25\)
- Since both sides are equal, this forms a right triangle.
If you can provide the side lengths for choices A, B, and C, I would be happy to help you determine which set of lengths forms a right triangle!