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| Inequalities |
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| If two sides of a triangle are unequal, then the greater angle is opposite to the greater side. |
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| AB > AC |
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| If two angles of a triangle are unequal, the greater side is opposite to the greater angle. |
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 AB > AC |
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| Of all the straight lines that can be drawn to a given straight line from a point outside it, the perpendicular is the shortest. |
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| P is a point outside the straight line AB. |
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| PM is perpendicular to AB. |
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| PQ is any other line from P to AB. |
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| PM < PQ |
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| In a right angled triangle, the hypotenuse is the greatest side. |
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| The sum of any two sides of a triangle is always greater than the third side. |
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| The difference between any two sides of a triangle is less than the third side. |
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In  Find the greatest side. |
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In  |
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 - sum of the angles A and B. |
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| = 180o - (68o + 52o) |
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| = 60o |
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 is the greatest angle. |
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 BC is the greatest side. |
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In  |
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| AC is the greatest side. |
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| ABC is a triangle |
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| AB + AC > BC. |
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From A draw AD  BC. |
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AD is a median of  Prove that AB + AC > 2AD. |
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AD is a median of  |
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| AB + AC > 2AD. |
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| Produce AD to E so that AD = DE. Join CE. |
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