Inequalities

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If two sides of a triangle are unequal, then the greater angle is opposite to the greater side.

AB > AC

If two angles of a triangle are unequal, the greater side is opposite to the greater angle.

AB > AC

Of all the straight lines that can be drawn to a given straight line from a point outside it, the perpendicular is the shortest.

P is a point outside the straight line AB.

PM is perpendicular to AB.

PQ is any other line from P to AB.

PM < PQ

In a right angled triangle, the hypotenuse is the greatest side.

The sum of any two sides of a triangle is always greater than the third side.

The difference between any two sides of a triangle is less than the third side.

In Find the greatest side.

In

- sum of the angles A and B.

= 180^o - (68^o + 52^o)

= 60^o

is the greatest angle.

BC is the greatest side.

In

AC is the greatest side.

ABC is a triangle

AB + AC > BC.

From A draw AD BC.

AD is a median of Prove that AB + AC > 2AD.

AD is a median of

AB + AC > 2AD.

Produce AD to E so that AD = DE. Join CE.