Q. 64.7( 3 Votes )

Find the area of

Answer :

Given that the Perimeter of the triangle is 180 cm.

Let the length of sides be a, b, and c.


Also, two sides are given as 80 cm and 18 cm.


Let a = 80 cm, b = 18 cm.


Now perimeter of triangle = a + b + c


a + b + c = 180


80 + 18 + c = 180


c = 82cm


sides of triangle are a = 80cm, b = 18cm, c = 82cm.


by Heron’s formula we get area of triangle


=


(where s = s is called as the semi perimeter )…(1)


we get


Substituting the value of s, a, b and c in equation 1 we get



=


=


The area of trsiangle is 720cm2.


We need to calculate the altitude of the triangle corresponding to the shortest side.


The shortest side will act as a base


Shortest side = b = base = 18 cm


Now the area of triangle having base and altitude is given by


=


=


Altitude =


The altitude of the triangle corresponding to the shortest side is 80 cm.


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