Triangle ABC has an inscribed circle I that is tangent to side BC at D. If BD = 26, DC = 25, and the inscribed circle’s radius is 15, what is the area of triangle ABC?
Assume triangle ABC can be divided into 6 smaller triangles, as shown below, with the areas given. What is the area of the entire triangle ABC?
Point P is in the interior of the equilateral triangle ABC. If AP = 7, BP = 5, and CP = 6, what is the area of ABC?
A circle contains triangle ABC. For each side, construct the perpendicular bisector and extend it to the exterior of the triangle to the circle. The three such lengths are 1, 2, 3, as shown.
What is the area of triangle ABC?
Point P is in the interior of triangle ABC, and the lines through P are parallel to the sides of ABC. The three triangles shown in the diagram have areas of 4, 9, and 49. What is the area of triangle ABC?
