If the following sets are lengths of sides of a triangle, which set are lengths of sides of a right triangle?Select one:a.1.5, 2, 2.5b.1.5, 2, 2.8c.10, 2, 11d.3, 3, 5Clear my choice

To determine which set of lengths can form a right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Let's apply this to each of the options:

a. 1.5, 2, 2.5 1.5² + 2² = 2.25 + 4 = 6.25 2.5² = 6.25 So, this set can form a right triangle.

b. 1.5, 2, 2.8 1.5² + 2² = 2.25 + 4 = 6.25 2.8² = 7.84 So, this set cannot form a right triangle.

c. 10, 2, 11 10² + 2² = 100 + 4 = 104 11² = 121 So, this set cannot form a right triangle.

d. 3, 3, 5 3² + 3² = 9 + 9 = 18 5² = 25 So, this set cannot form a right triangle.

Therefore, the only set that can form a right triangle is option a. 1.5, 2, 2.5.