Right triangle A B C is shown. Side A C is the hypotenuse.

Question

Which statement is true?


The side opposite angle C and adjacent to angle A is lineBC
.


The side opposite angle A and adjacent to angle C is lineAB
.


The side opposite angle A and adjacent to angle C is lineBC
.


The side opposite angle C and adjacent to angle A is lineAC
.

Answer 1

In a right triangle, each angle has a side that is opposite it and a side that is adjacent to it.

Given that side AC is the hypotenuse, here are the correct interpretations based on triangle ABC:

1. The side opposite angle C and adjacent to angle A is line BC. - This is true.

   • Angle C has its opposite side as line AB, and the adjacent side is BC.

2. The side opposite angle A and adjacent to angle C is line AB. - This is true.

   • Angle A has its opposite side as line BC, and line AB adjacent to angle C.

3. The side opposite angle A and adjacent to angle C is line BC. - This is true.

   • Here it's being described correctly; angle A has its opposite side as line BC.

4. The side opposite angle C and adjacent to angle A is line AC. - This is false.

   • The side opposite angle C is line AB, not line AC.

So, the accurate statements in terms of the relationships are:

• The side opposite angle C is line AB, and the side adjacent to angle A (and opposite angle B) is line BC.

The three statements about side BC mentioned above are conflated but could all be rephrased to correctly express the relationships, which can lead to confusion.

Thus, depending on the wording of your problem request, the true statement based on adjacency and opposition in typical terms is:

• The side opposite angle C is line AB.