Answer to Question #56862 in Geometry for Sanjiv

Question

1. In a right triangle, the bisector of the right angle divides the hypotenuse in the ratio of 3:5. Determine the measures of the acute angles of the triangle.
2. The lengths of the sides of a triangle are in the ratio of 17:10:9. Find the lengths of the three sides if the area of the triangle is 576cm^2.
3. In an acute triangle ABC, an altitude AD is drawn. Find the area of triangle ABC if AB = 15 inches, AC = 18 inches and BD = 10 inches.
4. Given triangle ABC whose sides are AB = 15 inches, AC = 25 inches and BC = 30 inches. From a point D on side AB, a line DE is drawn to a point E on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 inches. Find the lengths of line segments BD and CE.