The length of side b can be calculated in two ways:
1. Using the Pythagorean theorem
2. Noting that this triangle is a multiple of a 3-4-5 right triangle where the legs are 3 and 4 and the hypotenuse is 5. For this right triangle, the legs are 3x5=15 and 4x5=20 and the hypotenuse is 5x5=25.
Angle A can be determined using any of the trigonometric functions. If we apply the sine function to determine the measure of angle A, we get:
The sum of the two oblique angles of a right triangle is 90 degrees, therefore:
Therefore b=15, A=53.13 degrees and B=36.87 degrees.