In a triangle ABC, the angle is C = 90, sinA = 0.8, AC = 6. Find AB.

Step one.

The AC side is the adjacent leg to the angle A. Therefore, we find out what value the sine of this angle will equal, because from the condition it is known that its sine is 0.8:

√ (1 – 0.82) = √0.36 = 0.6 (A is the angle of the triangle, so we immediately used the root).

Step two.

Let us determine what value the length AB will be equal to (this is the hypotenuse), because from the condition we know that AC is equal to 6:

6: 0.6 = 10.

Answer: With these initial conditions, the length of the hypotenuse (AB) will be 10.