The area of a triangle is 64 cm^2. Given AB=11 cm and BC=15 cm find angle ABC.

To determine the measure of the angle B, we'll have to use
the following formula that gives the area of triangle:

A =
leg1*leg2*sine of the angle included/2

Since the lengths of
AB and BC and the value of the area of triangle are known, we'll replace them within the
formula above:

64 = 11*15*sin
B/2

We'll multiply both sides by
2:

128 = 165*sin B

sin B =
128/165

sin B = 0.775

B =
50.80 degrees

The included angle ABC measures
50.80 degrees.