Area ratio of similar triangles
For similar triangles, the ratio of their areas equals the square of the ratio of their corresponding sides.
Practice This ConceptMain explanation
Teacher explanation
Area grows faster than side length. When every side is scaled by the same factor, the area changes by the square of that factor, not by the same factor itself.
Example
If the side ratio is 2:3, the area ratio is 4:9.
Simple analogy
Sides scale once, areas scale twice.
Common confusion
Students often keep the same ratio for area instead of squaring it.
Exam tip
Find the side ratio first, then square both terms carefully.
Answer writing and exam use
1-mark use
Write the exact meaning of area ratio of similar triangles in one clean line.
2-mark use
Define area ratio of similar triangles and add one example or condition.
3-mark use
Explain area ratio of similar triangles, show the method or example, and mention the common mistake.
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