I don't get triangles
1. Find the area of triangle ABC if AB = 6, BC = 8, and angle ABC = 90 degrees.
2. If angle ABC = 135 degrees, and angle ACB = 30 degrees, what is angle BAC?
1. By the area formula for a triangle, the area is 6⋅82=24
2. Since the sum of the angles in any triangle is 180∘, we have ∠BAC=180∘−∠ABC−∠ACB=180∘−135∘−30∘=15∘.