Question

In right triangle ABC below, what is the sine of <A?

TRiangle has 7 cenimeters and 24 centimeters

Answer 1

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
sin(θ)=24/25.

Similarly, the sin of the angle φ is the opposite side 7 divided by the hypothenuse of 25 to give 7/25.

Answer 2

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