Single correct option
ABCD is a rectangle with AB = 8 cm and BC = 6 cm. E is the midpoint of CD. What is the area of triangle AEC?
- A. 12 cm²
- B. 16 cm²
- C. 18 cm²
- D. 24 cm²
Show answer and solution
Answer: (A) 12 cm²
Place A(0, 0), B(8, 0), C(8, 6), D(0, 6); then E = (4, 6).
Triangle AEC has base EC = 4 (along the line y = 6) and its height from A to that line is 6.
Area = (1/2) × 4 × 6 = 12 cm².
Why not 24? That is the area of triangle ABE (or ACD), whose base is a full side of the rectangle. Here the base EC is only half of CD.
Triangle AEC has base EC = 4 (along the line y = 6) and its height from A to that line is 6.
Area = (1/2) × 4 × 6 = 12 cm².
Why not 24? That is the area of triangle ABE (or ACD), whose base is a full side of the rectangle. Here the base EC is only half of CD.
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