SAT Math problem
In triangle ABC, the measure of angle B is 90 degrees, BC=16, and AC= 20. Triangle DEF is similar to triangle ABC, where D, E, and F are similar to A,B, and C respectively, and each side of triangle DEF is 1/3 of the length of the corresponding side of triangle ABC. What is the value of sin F?
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1 solution
By knowing that the sides BC=16 and AC=20, and that angle B is 90 degrees, we know that ABC and DEF ( since it is similar to ABC) are 3 4 5 triangles. If we draw the 3 4 5 triangle, we can see clearly that sin F is 3/5.