This is a free lesson from our course in Trigonometry
This lesson introduces and walks you through the basic concepts of how to determine
the area of a triangle. You'll learn it with the help of some
examples, practice questions with solution and presenting video explanation by the
instructor that brings in an element of realclass room experience. There are several ways to compute the area of a triangle E.g. the basic formula
is area of a triangle is half the base times the height. For example: In a right triangle, with base (b)
and the height (h) perpendicular to base, the area of triangle is
Area = 1/2 x base x height = 1/2
x b x h (More text below video...)
Area = A = 1/2 bc sin
A
= 1/2 ac sin B
= 1/2 ab sin C
So the area of triangle is obtained by multiplying onehalf times the product of
any two sides and the sine of the included angle.
Take an example of a triangle ABC, where a = 5, b = 6
and mC = 60, i.e. we have two
sides and the included angle. You may use from above formulas, the one that has
sin C, i.e., A = 1/2 ab sin C and that yields A
= 153/2 square units.
In other cases, when three sides of a triangle are given (SSS), its area 'A' is
calculated using the Heron's Formula:
Area = A =
s(s 
a)(s  b)(s  c)
Where a, b and c are the lengths of the sides of a triangle
and s = (a + b + c)/2 is the semi
perimeter.
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