Question

Find the area of the triangle with the length of the sides 36 cm, 48 cm and 60 cm.

Answer 1

Hey there! Thanks for this question from Area of triangles .

We know that,

Area of triangle can be calculated by Herons formula, where you will need length of three sides.

So, Length of Sides = 36 , 48 , 60 cm.

Semi perimeter = 36 + 48 + 60 / 2 = 72 cm .

a = 36

b = 48

c = 60

Now,

By Herons formula :

$\boxed{ A = \sqrt{ s(s-a)(s-b) (s-c) } }$

So,

A = $\sqrt{ 72 ( 72- 36 ) ( 72 - 48 )( 72- 60)}$

A = $\sqrt{ 72 ( 36 ) ( 24) ( 12 ) }$

A = $\sqrt{( 746496 )}$

A = 864 cm²

Therefore, Area of the triangle is 864 cm²

Answer 2

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