2026 · Q68
Consider the following statements :
- IThe areas of two similar triangles are in the ratio of the squares of the corresponding medians.
- IIThe areas of two similar triangles are in the ratio of the squares of the corresponding heights.
Which of the statements given above is/are correct?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
Both are standard consequences of similarity. The ratio of the areas of two similar triangles equals the square of the ratio of any pair of corresponding linear measures. Since medians and altitudes are corresponding linear measures, both statements I and II are correct, option C.