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?

Step-by-step explanation:

From.the Pythagoras theorem,

DF² = DE² + EF²; therefore, DE²= DF²-EF².since each of the side of DEF is 1/3 of sides ABC , it implies that ,1/3 of 20 = 6.7 ( DF)and 1/3 of 16 = 5.3 (EF)

DE² = 6.7²-5.3²;

DE² = 44.89 - 28.09

DE² =16.8

Therefore taking the square root is both side to get the true value of DE

√DE² = √16.8; DE = 4.098.

there the value of sin of angle F

SinF°= 4.098/6.7; = 0.6116

Therefore F° = sin-¹0.6116; 37.7°.

SinF = 0.6116, while angle F = 37.7°

Note: the purpose of using the Pythagoras theorem is to help you find the third side of triangle DEF which is DE

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)