Given the sides a, b , and c of a triangle, show that the area of the triangle is equal to A = square roor of s(s-a)(s-b)(s-c) where s is the semi-perimeter of the triangle.

Question

Find the length of the side opposite the 45 degrees angle.

Answer 1

1) This is Herron's formula. You can access a proof in your text book or on-line.

2) The formula does not deal with angle size. Therefore your question as to the length of the side opposite the 45° angle is meaningless.