Q. 54.3( 22 Votes )

Find the area of a triangle two sides of which are 4 cm and 8 cm and the perimeter is 20 cm.

Answer :

Given: Perimeter of triangle = 20 cm

Two sides of triangle = 4 cm and 8 cm


To Find: Area of the triangle


Concept Used:


If sides of a triangle are a, b, and c, then area of a triangle is given by:



Where s = semiperimeter of the triangle



The perimeter of triangle = Sum of sides of the triangle


Assumption: Let the sides of the triangle be, a, b, and c such that


a = 4 cm, b = 8 cm and a + b + c = 20 cm


Explanation:


a + b + c = 20 cm


4 + 8 + c = 20


12 + c = 20


c = 8 cm





s = 10 cm





Area = 4√15 cm2.


Hence, the area of the triangle is 4√15 cm2.


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