In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F
correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1 3 the length of the corresponding side of triangle ABC. What is the value of sinF?
Since triangle DEF is similar to triangle ABC, with vertex F corresponding to vertex C, the measure of <span>angle<span>∠F</span></span> equals the measure of <span>angle<span>∠C</span></span>. Therefore, <span><span><span><span>si</span>n</span>F</span>=<span><span><span>si</span>n</span>C</span></span>. From the side lengths of triangle ABC,
