2019 · Q72
What is the percentage decrease in the area of a triangle if its each side is halved?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A75%
- B50%
- C25%
- DNo change
Explanation
Halving every side produces a triangle similar to the original with linear scale factor 1/2. Areas scale as the square of the linear factor, so the new area is (1/2)^2 = 1/4 of the original. The decrease is 1 - 1/4 = 3/4, i.e. 75%, option (a).