Question

The area of triangle ABC is 231 square inches, and point P is marked on side AB so that AP:PB = 3:4. What are the areas of triangles APC and BPC? (20 points)

Answer 1

Area of PBC = 132 in²

Area of APC = 98 in²

Explanation:

ABC and PBC share the same height, with base in the ratio

7 : 4

Areas in the ratio

7 : 4

231 : Area of PBC

Area of PBC = 231/7 × 4 = 132

Area of APC = ABC - PBC

= 231 - 132 = 98