Question

In right triangle RST, ST = 5, RT = 12 and RS = 13.

Find sin(R)
-5/13
-12/5
-12/13
-5/12

Answer 1

To find sin(R), we need to identify which sides of the triangle are the opposite and hypotenuse sides with respect to angle R.

In right triangle RST, angle R is 90 degrees and side RS is the hypotenuse.
The side opposite angle R is side ST.

Using the sine ratio: sin(R) = opposite/hypotenuse = ST/RS.

Plugging in the values: sin(R) = 5/13.

Therefore, sin(R) is equal to -5/13.