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3.5 Area Of Triangles

Let D stands for the area of triangle. Let b = base and h = height then D = 1/2 bh.

For finding the area of a triangle (D ) three types of additonal formulas are used. They are -


SSS Type : If a, b and c are lengths of sides of triangle and s = ABC and s = i.e. semiperimeter, then

Area of triangle ABC ( D) =
This formula is a contribution to mathematics by a famous Greek philosopher and mathematician, Heron (or Hero). Therefore this is known as “Hero’s formula”.

We have, Area of D ABC = bc sin A.

But sin A = 2 sin A / 2 cos A / 2 (see half angles).


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Index

3. 1 Solving Right Triangles
3. 2 Law of Cosines
3. 3 Law of Sines
3. 4 The Ambiguous Case of Law of Sines
3. 5 Areas of Triangles
Supplementary Problems

Chapter 4





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