can 21 in, 28 in, 35 in, be the sides of a right triangle

Answer 1

To determine whether the three given lengths can form the sides of a right triangle, we can apply the Pythagorean theorem, which 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 other two sides.

Let's label the sides of the triangle as follows:

a = 21 in
b = 28 in
c = 35 in (hypotenuse)

According to the Pythagorean theorem, we have:

c² = a² + b²
35² = 21² + 28²
1225 = 441 + 784
1225 = 1225

Since both sides of the equation are equal, the three given lengths (21 in, 28 in, 35 in) can indeed be the sides of a right triangle.