2019 · Q44
Suppose P, Q and R are the midpoints of the sides of a triangle of area 128 cm². If △ABC is drawn by joining the midpoints of the sides of △PQR, then what is the area of △ABC?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A4 cm²
- B8 cm²
- C16 cm²
- D32 cm²
Explanation
Joining midpoints gives a medial triangle of 1/4 the area. Applied twice: 128/4 = 32, then 32/4 = 8 cm^2.