Geomentry Question

Question

If given the area of a triangle and its 3 angles ...can i find the lengths of the 3 sides?

Answer 1

A = (ab sin C) / 2

A = (bc sin A) / 2

A = (ac sin B) / 2

Answer 2

Yes. Remember that the area of a triangle is one half the height times the base and that the height is the perpendicular distance from the base to the opposite corner of the triangle. The height, h, can be determined by using the tangents of the angles to the base and the length along the base from the intersection of the angle to the intersection of the perpendicular line, or height. The 2 lengths add up to the length of the base and the height, h, is the same for both calculations.

Kind of confusing without any numbers or diagram, but the answer to your question is YES!

Hope this helps!