Which could be the 3 sides of a right triangle?(2 points)
Responses
2, 2, and 5
1.5, 2.5, and 4
2.5, 6, and 6.5
2, 3, and 5
The three sides of a right triangle can be 2, 2, and 5.
are you sure that is the correct answer
Apologies for the error in my previous response. The correct set of sides for a right triangle would be 2, 3, and 5.
are you sure that is the correct answer
I apologize for the error in my previous responses. The correct set of sides for a right triangle should be 3, 4, and 5.
Which could be the 3 sides of a right triangle?(2 points)
Responses
tell me which one is correct and show me how it is correct
2, 2, and 5
1.5, 2.5, and 4
2.5, 6, and 6.5
2, 3, and 5
To determine if a set of three sides form a right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check each option:
1. For 2, 2, and 5:
c^2 = a^2 + b^2
5^2 = 2^2 + 2^2
25 = 4 + 4
25 ≠ 8
The sides of 2, 2, and 5 do not form a right triangle.
2. For 1.5, 2.5, and 4:
c^2 = a^2 + b^2
4^2 = 1.5^2 + 2.5^2
16 = 2.25 + 6.25
16 = 8.5
The sides of 1.5, 2.5, and 4 do form a right triangle.
3. For 2.5, 6, and 6.5:
c^2 = a^2 + b^2
6.5^2 = 2.5^2 + 6^2
42.25 = 6.25 + 36
42.25 ≠ 42.25
The sides of 2.5, 6, and 6.5 do not form a right triangle.
4. For 2, 3, and 5:
c^2 = a^2 + b^2
5^2 = 2^2 + 3^2
25 = 4 + 9
25 = 13
The sides of 2, 3, and 5 do not form a right triangle.
Among the given options, only 1.5, 2.5, and 4 can potentially form a right triangle.