DEPRECATED Non-right triangle proofs

Problem

Consider triangle, F, C, D and altitude start color blue, h, end color blue.
space
What is an expression for start color blue, h, end color blue in terms of d and angle F?
h, equals
What is an expression for the area of triangle, F, C, D in terms of c, d, and angle F?
Areaequals
What is an expression for start color blue, h, end color blue in terms of f and angle D?
h, equals
What is an expression for the area of triangle, F, C, D in terms of c, f, and angle D?
Areaequals