Plz i need help 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?

Sin F = 0.6

Step-by-step explanation:

From triangle ABC, applying Pythagoras theorem to determine the length AB;

= +

= +

= +

400 = 256 +

= 400 - 256

           = 144

AB =

     = 12

AB = 12, AC = 20, BC = 16

Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is the length of the corresponding side of triangle ABC.

Then,

DE = AB =   x 12

     = 4

EF =  BC =   x 16

     =

DF =  AC =   x 20

     =

Then, applying trigonometric function to ΔDEF, we have;

Sin F =

        =

        = 4 ÷

        = 4 x

        =

Sin F = 0.6

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

a precentage of 6th graders. the population is all 6th graders. let me know if i'm wrong, i hope this ! : )

step-by-step explanation: