Question

Consider the triangle ABC. Side AB has a length of 5 and side AC has a length of 5. Angle B is 30 degrees, angle C is 90 degrees, and angle A is unknown. Find the length of side BC.

Answer 1

To find the length of side BC in triangle ABC, we can use the Law of Sines.

Step-by-step explanation:

To find the length of side BC in triangle ABC, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of the opposite angle is equal for all sides and their respective opposite angles. In this case, we know the lengths of sides AB and AC, as well as the measure of angle B. We can use the formula:

BC / sin(A) = AB / sin(B)

Since angle C is a right angle (90 degrees), we can determine angle A by subtracting the measures of angles B and C from 180 degrees. Using this information, we can plug in the values to the formula and solve for BC.