If a triangle has sides measuring 60, 75, and 49, is if a night triangle? (

1 answer

No, the triangle with side lengths 60, 75, and 49 is not a right triangle. To determine if a triangle is a right triangle, we can apply the Pythagorean theorem. In a right triangle, the square of the length of the longest side (hypotenuse) would be equal to the sum of the squares of the other two sides.

Let's calculate:

Longest side^2 = 75^2 = 5625
Sum of squares of other two sides = 60^2 + 49^2 = 3600 + 2401 = 6001

Since 5625 is not equal to 6001, the triangle is not a right triangle.