Question

If s is the semi – perimeter of a whose sides are then S = ______?
     A. \[a+b+c\]
     B. \[\dfrac{a+b+c}{2}\]
     C. \[\dfrac{a+b+c}{2}\]
     D. \[\dfrac{a+b+c}{4}\]

Answer 1

Hint: When we find the area of the triangle one should know about the concept of semi – perimeter. Special S for isosceles and scalene triangle.

Complete step-by-step answer:
A semi perimeter of a polygon is its half perimeter.
Mean \[\dfrac{p}{2}\], where \[p=\]perimeter.
Semi perimeter is used for triangles. This formula is called Heron’s formula.
In a triangle, are the side of a triangle and S is the semi perimeters of the triangle, then \[S=\dfrac{a+b+c}{2}\].
We have to divide the perimeter by , for semi perimeter. Its complete formula for area of
\[area\,\,of\,\,\Delta =\sqrt{S\left( S-a \right)\left( S-b \right)\left( S-c \right)}\]
By solving this we can find the area of any triangle. It is most suitable for a scalene triangle. Which means all sides are different.

Note: There are many types of triangle in which equilateral triangle and right angle triangle has its formula for area. But to find the area of isosceles or scalene triangles we have to use the above formula.