Which of the following measurements represent a right triangle?

1) 3,4,5
2)5,12,14
3)4,√24,8
4)5,7,√74

and show ur there can be more than one i really need with this question because i am confused on what to do.. /.\

To check whether a triangle is a right triangle given the dimensions, we can apply Pythagorean's theorem. To recall, we have



where c is the longest side (or more known as the hypotenuse) and a and b as the shorter sides of the right triangle. All right triangles must satisfy this theorem.

Now, to make this clearer, let's check the first choice: {3, 4, 5}. Substituting the values, we have





This clearly shows that {3, 4, 5} satisfies the theorem and thus confirming that it's a right triangle.

We can use the same reasoning for the rest as shown below.

2) {5, 12, 14}





3) {4, √24, 8}





4) {5, 7, √74}





As shown, only 1) and 4) satisfies the theorem. Showing that the two triangles are right triangles.

1 and 4