Answer:
28,45,53 is a Pythagorean Triple
Explanation:
To determine whether 28, 45, and 53 form a Pythagorean triple, we need to check whether they satisfy the Pythagorean theorem, which states that for any 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.
So, we need to check whether:
28^2 + 45^2 = 53^2
Evaluating the left-hand side of the equation, we get:
784 + 2025 = 2809
And evaluating the right-hand side of the equation, we get:
2809 = 2809
Since both sides are equal, we can conclude that 28, 45, and 53 form a Pythagorean triple, because they satisfy the Pythagorean theorem. Therefore, 28^2 + 45^2 = 53^2 is a true statement, and we can say that the lengths 28, 45, and 53 can form the sides of a right triangle.