The sides of a right triangle must satisfy the Pythagorean theorem, which states that a^2 + b^2 = c^2, where a and b are the two shorter sides and c is the hypotenuse (the longest side).
To test if these are sides of a right triangle, we can calculate a^2 + b^2 and see if it equals c^2.
1. For 2, 2, and 5:
a^2 + b^2 = 2^2 + 2^2 = 4 + 4 = 8
c^2 = 5^2 = 25
The two values are not equal, so this is not a right triangle.
2. For 2, 3, and 5:
a^2 + b^2 = 2^2 + 3^2 = 4 + 9 = 13
c^2 = 5^2 = 25
The two values are not equal, so this is not a right triangle.
3. For 1.5, 2.5, and 4:
a^2 + b^2 = 1.5^2 + 2.5^2 = 2.25 + 6.25 = 8.5
c^2 = 4^2 = 16
The two values are not equal, so this is not a right triangle.
4. For 2.5, 6, and 6.5:
a^2 + b^2 = 2.5^2 + 6^2 = 6.25 + 36 = 42.25
c^2 = 6.5^2 = 42.25
The two values are equal, so this could be the sides of a right triangle.
Which could be the 3 sides of a right triangle? (2 points)
2, 2, and 5
2, 3, and 5
1.5, 2.5, and 4
2.5, 6, and 6.5
1 answer
2 answers