High students, so let's discuss some more ways to find the area of a triangle.
All right, let's get started over here.
We have Triangle ABC.
Now let's drop a perpendicular from ear to side B, C, and let's mark the sides of this triangle.
All right, so the side opposite angle is Marchesi, the side opposite angle B is of length B and the
side opposite angle see is of length.
See now this all the dude is of measure.
It's now we know that the area of a triangle can be found using the approach half base in height.
But over here is the base.
So the area of this triangle, ABC is equal to half into a intuits.
So we have already seen this.
Now let's see three more ways to find the area of a triangle.
All right.
The first one is the heroine's formula.
Now, what we hear is is defined as the semi perimeter of the triangle, that is the half of the some
of the sides of the triangle that is as is equal to A plus B plus C by two.
Now, as per the Herron's formula, the area of the triangle is equal to the square root of the product
of S and S minus E and S minus B and S minus C..
So for example, if you have the sides as 13, 15 and C 14, I'm just taking an example.
So in this case, this would be 13 plus 15 plus 14 by two.
How much is that.
That's forty two by two, which gives you twenty one.
All right.
Now as per the Herron's formula, the area of this triangle then would be the square root of twenty
one into twenty one minus thirteen gives you eight.
Twenty one minus 15 gives you six and 21, minus 14 gives you seven.
So this would give you the area of this triangle.
All right, let's move on.
Another way in which we can find the area of this triangle is using the concept of the radius.
Remember, the radius is found by finding the inner center and the center is the meeting point of the
angle by sectors of the triangle.
So let our be the in radius.
Then we can find the area of this triangle using the formula that is equal to our as so odd as the radius.
And this is the same perimeter all.
Now remember, Starcom radius is the radius of the circle circle and you find the sock'em radius by
finding the sock'em center.
The Sock'Em Center is the meeting point of the perpendicular by sectors of the triangle.
So let our be the Zakim radius, then we can find the area of the triangle.
Using the formula area is equal to ABC by four hours, where ABC are the three sides of the triangle.
So end up being to see divided by four are also gives you the area of the triangle.
All right.
So let's quickly revise the four formulas so far which we have covered to find the area of a triangle
we have area is equal to half in the base.
In the height we have area is equal to square root of S.
S minus the penis being the S minus C we have area is equal to in radius in the same perimeter and we
have area is equal to product of the sides divided by four are where Ottowa here is this Starcom radius.