Question

which statement is true? the side opposite angle a and adjacent to angle c is bc. the side opposite angle a and adjacent to angle c is ab. the side opposite angle c and adjacent to angle a is bc. the side opposite angle c and adjacent to angle a is ac.

Explanation:

Step1: Recall angle - side relationships

In a right - triangle, for an angle, the side opposite is the side that does not form the angle, and the adjacent side forms the angle (excluding the hypotenuse).
For angle A in right - triangle ABC with right - angle at B, the side opposite angle A is BC and the side adjacent to angle A is AB. For angle C, the side opposite angle C is AB and the side adjacent to angle C is BC.

Step2: Analyze each option

• Option 1: The side opposite angle A and adjacent to angle C is BC. Angle A's opposite side is BC, and BC is adjacent to angle C. This is correct.
• Option 2: The side opposite angle A is BC, not AB.
• Option 3: The side opposite angle C is AB, not BC.
• Option 4: The side opposite angle C is AB, not AC.

Answer:

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