Answer:
Option C, 30 40 50
Step-by-step explanation:
In order for <u>3 sides to form a right triangle</u>, 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.
<u>Step 1: Determine if A is correct</u>
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.
<u>Step 2: Determine if B is correct</u>
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.
<u>Step 2: Determine if C is correct</u>
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
