Question

Which ratios are equal to sin C? Select all that apply.

Answer 1

The sine function is defined as:

`\sin \theta=\frac{\text{opp}}{\text{hyp}}`

For angle C the opposite leg is the segment AB and the hypotenuse is AC, then we have that:

`\sin C=(AB)/(AC)`

Now since the triangles are similar that means that the sine of F should be equal to the sine of C. In this case the opposite leg is DE and the hypotenuse is DF, then:

`\sin C=\sin F=(DE)/(DF)`

Therefore the ratios that are equal to sin C are options A and D.