Question

1. Find the area of a triangle if its two side measure 6 inches and 9 inches, and the bisector of the angle between the sides is 4 square root of 3 inches.
2. In a right triangle, a line perpendicular to the hypotenuse drawn from the midpoint of one of the sides divides the hypotenuse into segments which are 10 cm and 6 cm long. Find the lengths of the two sides of the triangle.
3. The base of an isosceles triangle and the altitude drawn from one of the congruent sides are equal to 18 cm and 15 cm, respectively. Find the lengths of the sides of the triangle.