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High students, so let's discuss some more ways to find the area of a triangle.

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All right, let's get started over here.

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We have Triangle ABC.

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Now let's drop a perpendicular from ear to side B, C, and let's mark the sides of this triangle.

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All right, so the side opposite angle is Marchesi, the side opposite angle B is of length B and the

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side opposite angle see is of length.

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See now this all the dude is of measure.

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It's now we know that the area of a triangle can be found using the approach half base in height.

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But over here is the base.

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So the area of this triangle, ABC is equal to half into a intuits.

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So we have already seen this.

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Now let's see three more ways to find the area of a triangle.

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All right.

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The first one is the heroine's formula.

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Now, what we hear is is defined as the semi perimeter of the triangle, that is the half of the some

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of the sides of the triangle that is as is equal to A plus B plus C by two.

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Now, as per the Herron's formula, the area of the triangle is equal to the square root of the product

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of S and S minus E and S minus B and S minus C..

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So for example, if you have the sides as 13, 15 and C 14, I'm just taking an example.

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So in this case, this would be 13 plus 15 plus 14 by two.

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How much is that.

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That's forty two by two, which gives you twenty one.

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All right.

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Now as per the Herron's formula, the area of this triangle then would be the square root of twenty

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one into twenty one minus thirteen gives you eight.

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Twenty one minus 15 gives you six and 21, minus 14 gives you seven.

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So this would give you the area of this triangle.

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All right, let's move on.

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Another way in which we can find the area of this triangle is using the concept of the radius.

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Remember, the radius is found by finding the inner center and the center is the meeting point of the

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angle by sectors of the triangle.

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So let our be the in radius.

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Then we can find the area of this triangle using the formula that is equal to our as so odd as the radius.

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And this is the same perimeter all.

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Now remember, Starcom radius is the radius of the circle circle and you find the sock'em radius by

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finding the sock'em center.

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The Sock'Em Center is the meeting point of the perpendicular by sectors of the triangle.

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So let our be the Zakim radius, then we can find the area of the triangle.

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Using the formula area is equal to ABC by four hours, where ABC are the three sides of the triangle.

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So end up being to see divided by four are also gives you the area of the triangle.

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All right.

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So let's quickly revise the four formulas so far which we have covered to find the area of a triangle

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we have area is equal to half in the base.

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In the height we have area is equal to square root of S.

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S minus the penis being the S minus C we have area is equal to in radius in the same perimeter and we

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have area is equal to product of the sides divided by four are where Ottowa here is this Starcom radius.