Question

a triangle having sides 3 5 7 with perimeter of 450 find area​

Answer 1

Answer:

let,

1st side=3x

2nd side=5x

3rd side=7x

perimeter=450cm

3x+5x+7x=450

15x=450

x=450/15

x=30

Now,

Ist side=3x=3*30=90cm

2nd side=5x=5*30=150cm

3rd side=7x=7*30=210

Then,

side=90+150+210/2

=225

by heron's formula,

Area=under root 225(225-90)(225-150)(225-210)

=under root 225*135*75*15

=under root 15*15*15*7*15*5*15

=225 under root 15*5*7

=1125 under root 21

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