In triangle ABC: angle C = 90 degrees, BC = 2, AC = 4√6. Find the cos of angle B

Let us determine what the side AB (hypotenuse) will equal, when from the condition of the task we know that the other two sides are equal to 2 and 4√6, respectively:

√ (2 ^ 2 + (4√6) ^ 2) = √ (4 + 96) = √100 = 10.

From the school curriculum, we know that the cosine of an angle can be calculated as the ratio of the leg, which will be adjacent to this angle, to the hypotenuse.

Let us determine what the cosine of angle B will equal with the following initial data:

2: 10 = 0.2.

Answer: With such initial data, the cosine of angle B will be 0.2.