In triangle ABC, the measure of ∠B is 90°,BC=16, and AC=20. Tri

1.	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 Fcorrespond to vertices A, B, and C, respectively, and each side of triangle DEF is 13 the length of the corresponding side of triangle ABC. What is the value of sinF?
Answer» *SOLUTION ☺️* *The* *third* *side* of ∆*ABC* is AB. *using PYTHAGORAS* *Theorem, it's* *length is 12. =) 12^2 +16^2= 20^2 =) Angle* F is *congruent to angle* C *and* so *the* *sin(angle* F) = *sin* (*ANGLEC) =) Sin* (*angle* C) = *opposite/Hypotenuse* =) AB/AC =) 12/20 =) 3/5 =) 0.6 *HOPE it* *helps* ✔️

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 Fcorrespond to vertices A, B, and C, respectively, and each side of triangle DEF is 13 the length of the corresponding side of triangle ABC. What is the value of sinF?

Answer»

SOLUTION ☺️

The third side of ∆ABC is AB.

using PYTHAGORAS Theorem, it's length is 12.

=) 12^2 +16^2= 20^2

=) Angle F is congruent to angle C and so the sin(angle F) = sin (ANGLEC)

=) Sin (angle C) = opposite/Hypotenuse

=) AB/AC

=) 12/20

=) 3/5

=) 0.6

HOPE it helps ✔️

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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 Fcorrespond to vertices A, B, and C, respectively, and each side of triangle DEF is 13 the length of the corresponding side of triangle ABC. What is the value of sinF?​

SOLUTION ☺️

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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 Fcorrespond to vertices A, B, and C, respectively, and each side of triangle DEF is 13 the length of the corresponding side of triangle ABC. What is the value of sinF?