Final answer:
Using trigonometry, the hypotenuse of a right triangle with an adjacent side of 6 cm to a 50° angle can be calculated as 9.33 cm approximately, only if it's a right triangle.
Step-by-step explanation:
To find the hypotenuse of a triangle with lengths 6 cm and angles 50° and 20°, you can use trigonometric functions if it's a right triangle; however, the question does not specify that it is a right triangle. Assuming it's a right triangle, with the length given as one of the legs, say adjacent to the 50° angle, you could use the cosine function (cos) which is adjacent/hypotenuse.
Let c be the hypotenuse, then:
- cos(50°) = 6 / c
- c = 6 / cos(50°)
- c = 6 / 0.6428
- c ≈ 9.33 cm
However, since the angles given do not add up to 90°, this approach only applies if and only if one of the angles given is for the right angle, and the triangle is indeed a right triangle. Otherwise, more information is necessary.