Similarity — Formula Sheet
Maharashtra Board · Class 10 · Mathematics
13 formulas from Similarity (Maharashtra Board Class 10 Mathematics) on one page, grouped by topic. Covers Ratio of Areas of Two Triangles, Basic.
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Formulas and Key Relations
1. Ratio of Areas of Two Triangles
Area = 1/2 × Base × Height
A(ΔABC)/A(ΔPQR) = (BC × AD)/(QR × PS)
A(ΔABC)/A(ΔPQR) = b1/b2
A(ΔABC)/A(ΔAPB) = h1/h2
2. Basic Proportionality Theorem and Converse
AP/PB = AQ/QC
AP/BP = QC/BQ
3. Property of an Angle Bisector
AE/EB = CA/CB
AB/BC = AD/DC
AB/AC = BD/DC
4. Three Parallel Lines and Two Transversals
AB/BC = PQ/QR
AB/BC = XY/YZ
Area of a triangle = 1/2 × base × height
CB = CD is obtained from congruent angles in ΔCBD
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