Question

the side of triangle are 12cm, 35cm, 37cm. find its area​

Answer 1

Hello!

Itz Me Kushi!

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

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Answer 2

Answer:

If we denote area of the triangle by A, then the area of a triangle having sides a, b, c and s as semi-perimeter is given by;

Step-by-step explanation:

s√s(s-a) (s-b) (s-c)

a = 9 cm, b = 12 cm, c = 15 cm

Here we will calculate s,

s=a+b+c÷2

s=9+12+15/2

s=36/2

s=18cm

So the area of the triangle is

A=√18(18-9) (18-12) (18-15)

A=√18(9) (6) (3)

A=√2916

A=54cm^2