Question

fall 2025 geometry b wwva trigonometric ratios. what additional information would be necessary to determine sin(a) without using the pythagorean theorem? explain. the length of bc is needed because it is the side adjacent to ∠a. the length of ac is needed because it is the side opposite ∠a. the length of ac is needed because it is the side adjacent to ∠a.

Explanation:

The sine of an angle in a right - triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. For $\sin(A)$ in right - triangle $ABC$ with hypotenuse $AB = 20$, we need the length of the side opposite $\angle A$, which is $BC$.

Answer:

The length of $BC$ is needed because it is the side opposite $\angle A$.