Question

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?​

Answer 1

Step-by-step explanation:

Right Triangle ABC has:

AC=20;

BC=16;

AB= √(20^2 -16^2)=√144 = 12;

Angle B = 90 Deg. =>

sin B=sin 90= 1; => sin B / 20 = sin C / 12 ; => 1 / 20 = sin C /12; =>

sin C=12/20 = 0.6;

Triangles ABC and DEF are similar; Angle C = Angle F; and sin C =sin F=0.6;

The value of sin (F) equals 0.6.

Answer 2

Step-by-step explanation:

Hope this helps u a lot!!