The legs of a right triangle are 12 and 9. Find the hypotenuse, sine, cosine, tangent of one acute angle of this triangle.

Let us determine what the hypotenuse will be equal to, when from the condition of the problem we know that the legs are 12 and 9, respectively:

√ (12 ^ 2 + 9 ^ 2) = √ (144 + 81) = √225 = 15.

Let us determine what the sine of the angle will equal in this case, which is opposite the side equal to 9:

9: 15 = 0.6.

Let’s determine what the cosine of the same angle will equal:

12: 15 = 0.8.

Let’s determine what the tangent of the same angle will equal:

0.6: 0.8 = 0.75.

Answer: The hypotenuse is 15; sine = 0.6; cosine = 0.8; and tangent = 0.75.