Question

The sides of a triangle are 12cm,35cm,37cm. Find its area by heron's formula.

Answer 1

let side a=12cm side b=35cm and side c=37cm
∴ semi perimeter,
= (a+b+c)/2
=12+35+37/2
=84/2
=42 cm
∴area of the triangle by heron's formula,
Δ=√s(s-a)(s-b)(s-c)
Δ=√42(42-12)(42-35)(42-37 )
Δ=√42*30*7*5
Δ=√2*3*7*7*5*2*3*5
Δ=2*3*5*7
Δ=210 cm^2
∴ total area of the triangle is= 210 cm^2
            i hope that this will help u....................^_^

Answer 2

S=a+b+c/2 S=12+35+37/2 84/2 S=42 Herons formula √s(s-a) (s-b ) (s-c) √ 42 (42-12) (42-35) (42-37) √42×30×7×5 √44100 210 answer