📐

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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Applications

#geometry#triangle#similarity