If a triangle has sides measuring 60, 75, and 45, is it a right triangle?(1 point)
Responses
No, because 5,625 does not equal 3,600.
No, because 5,625 does not equal 3,600.
Yes, because 5,625 equals 5,625.
Yes, because 5,625 equals 5,625.
No, because 9,225 does not equal 2,025.
No, because 9,225 does not equal 2,025.
Yes, because 3,600 equals 3,600.
Yes, because 3,600 equals 3,600.
No, because the Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. In this case, 60^2 + 45^2 does not equal 75^2.
chose ONE of the answers please
No, because 5,625 does not equal 3,600.
To determine if a triangle is 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.
So, to check if the triangle with sides measuring 60, 75, and 45 is a right triangle, we can calculate the squares of these sides and see if they satisfy the Pythagorean theorem.
The square of the side measuring 60 is 60^2 = 3,600.
The square of the side measuring 75 is 75^2 = 5,625.
The square of the side measuring 45 is 45^2 = 2,025.
Now, let's check if the sum of the squares of the two smaller sides is equal to the square of the largest side:
3,600 + 2,025 = 5,625.
Since the sum of the squares of the smaller sides is equal to the square of the largest side, which is 5,625, we can conclude that the triangle with sides measuring 60, 75, and 45 is indeed a right triangle.