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 real-class 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 one-half 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.
Winpossible's online math courses and tutorials have gained rapidly popularity since
their launch in 2008. Over 100,000 students have benefited from Winpossible's courses...
these courses in conjunction with free unlimited homework help serve as a very effective
math-tutor for our students.
-
All of the Winpossible math tutorials have been designed by top-notch instructors
and offer a comprehensive and rigorous math review of that topic.
-
We guarantee that any student who studies with Winpossible, will get a firm grasp
of the associated problem-solving techniques. Each course has our instructors providing
step-by-step solutions to a wide variety of problems, completely demystifying the
problem-solving process!
-
Winpossible courses have been used by students for help with homework and by homeschoolers.
-
Several teachers use Winpossible courses at schools as a supplement for in-class
instruction. They also use our course structure to develop course worksheets.
C = 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
= 15
3/2 square units.