Wednesday, August 1, 2012

Similar Triangles , Area and Perimeter

If two triangles ABC and PQR are similar (ΔABC ∼ ΔPQR) , then their corresponding sides are proportional and corresponding angles are equal i.e. PQ/AB = QR/BC = RP/CA. 

The ratio of areas of similar triangles is the square of the ratio of their sides i.e.   Area PQR / Area ABC = (PQ/AB)2 

The ratio of perimeters of similar triangles is the ratio of their sides i.e. 
 Perimeter PQR / Perimeter ABC = PQ/AB


This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

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