posted by Maram .
In right triangle ABC below, what is the sine of <A?
TRiangle has 7 cenimeters and 24 centimeters
If the triangle had sides 7 and 24 adjacent to the right angle, then the hypothenuse is sqrt(7^2+24^2)=25 by Pythagoras theorem.
The sin of angle θ adjacent to the side 7 has an opposite side of 24 over the hypothenuse of 25, so
Similarly, the sin of the angle φ is the opposite side 7 divided by the hypothenuse of 25 to give 7/25.