📐
Similar Triangles
★★☆☆☆Middle School
📖Definition
Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.
📐Formulas
(a)/(a') = (b)/(b') = (c)/(c') = k
Scale factor (ratio of similarity)
(S₁)/(S₂) = k²
Ratio of areas = square of scale factor
✏️Examples
예제 1★★☆☆☆
Triangles ABC and DEF are similar with ratio 2:3. If ABC has area 8cm², find DEF's area.
⚡Applications
Surveying
Indirect distance measurement
Photography
Scale calculations
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