Inequalities — Formula Sheet
ICSE · Class 9 · Mathematics
12 formulas from Inequalities (ICSE Class 9 Mathematics) on one page, grouped by topic. Part of the ICSE Class 9 Mathematics syllabus.
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Formulas and Key Relations
1. Symbols and Basic Meaning
a > b
a < b
2. Triangle Side-Angle Relations
If AB > AC, then angle ACB > angle B
If angle CAB > angle B, then BC > AC
3. Theorem 5 and Triangle Inequality
Perpendicular from an external point to a line is the shortest
AB + AC > BC
AB + BC > AC
BC + AC > AB
4. Special Inequalities Using Bisector and Median
AB > BD and AC > CD
AB + AC > 2AD
AB + BC > 2BE; BC + AC > 2CF
AB + BC + AC > AD + BE + CF
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