Given triangle ABC, which equation could be used to find the measure of ∠B? right triangle ABC with AB measuring 6, AC measuring 3, and BC measuring 3 square root of 5 cos m∠B = 2 square root of 5 all over 5 sin m∠B = square root 5 cos m∠B = square root of 5 over 2 sin m∠B = 2 square root of 5 all over 5

is the correct answer.

Step-by-step explanation:

We are given a right angled with the side measurements as:

AB = 6

AC = 3

BC = 3

In a right angled triangle, the angle of is the largest angle and the side opposite to the right angle is the largest.

We are given that the side BC = 3 which has a value greater than 6 which means side BC is the largest side.

And angle opposite to BC is is the largest i.e.

Please refer to the attached image for the given dimensions of the triangle.

Now, we can apply trigonometric rules to easily find out the value of