Question

Which side lengths form a right triangle? Choose all answers that apply:​

Answer 1

Answer:

Option C, 30 40 50

Step-by-step explanation:

In order for 3 sides to form a right triangle, there are two options:

           1.) Both sides are equal, and the hypotenuse is sqrt(2) * the length of the sides.

           2.)  One side is (sqrt(3)) / 2 * h and the other side is 1/2 * h and the hypotenuse is just h.

Step 1:  Determine if A is correct

No, Option 1 is automatically thrown away because no sides are equal.

No, Option 2 isn't possible because if you put the sides in any arrangement it won't work.

Step 2:  Determine if B is correct

No, Option 1 is once again thrown away because no sides are equal.

No, Option 2 is not possible once again because in whatever arrangement you put the sides in, it won't work.

Step 2:  Determine if C is correct

No, Option 1 is once again thrown out because no sides are in equal length.

No, Option 2 is neither possible since you can't organize it in a way to fit the pattern.

However, there is an exception called the 3-4-5 triangle which forms a right triangle.  In this example, we have a 30-40-50 triangle that forms into a right triangle.

Answer:  Option C, 30 40 50