In triangle ABC, the measure of B is 90 , BC=16, and AC=20 Triangle DEF is similar to - Maths - Practical Geometry

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?

Yash Raj · Accepted Answer

Dear Student

Using Pythagoras theorem in ABC,AB=400-256=144=12Since all the sides of △DEF are 13 of sides of ABCDE=13AB=4DF=13AC=203Hence sin F=4203=1220=35

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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 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?