n 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?
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Answer:
given
angle b=90°
ac=20 and bc=16
by Pythagoras theorem
20^2=16^2+x^2
20^2-16^2=x^2
400-256=x^2
144 =x^2
√144=x
12
ab = 12
Step-by-step explanation:
1/3ab=de
1/3bc=ef
1/3ac=df
de=12*1/3=4
ef=16*1/3=5.333.……
df=20*1/3=6.66……
sinF=opp/hyp
= de/df
= 4/6.6…
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Answer:
Step-by-step explanation:
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