Question

Consider the triangle. Triangle A B C. Side A B has a length of 5, and side A C has a length of 5. Angle B is 30 degrees, angle C is 90 degrees, and angle A is unknown. Angle A = 60º Angle B = 30° Angle C = 90° AB = 10 AC = 5 BC = __________

Answer 1

To find side BC in triangle ABC, use the Pythagorean theorem: BC^2 = AB^2 + AC^2. Substitute the given values, solve for BC, and take the square root to find the length of BC.

Step-by-step explanation:

In 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. To find side BC, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

Using this theorem, we can solve for side BC as follows:

BC^2 = AB^2 + AC^2

BC^2 = 5^2 + 5^2

BC^2 = 50

BC = sqrt(50) or approximately 7.07