Question

find the area of triangle whose sides are in the ratio of 12 is to 17 is 225 and its perimeter is 540 CM

plz guys fast

Answer 1

Ratio of sides
12: 17:25

let them be
12x,17x, 25x respectively

perimeter of a triangle = sum of all sides
540 = 12x,17x, 25x
540 = 54x
x = 10

all sides measure
12x = 12×10 = 120
17x = 17× 10 = 170
25x= 25 × 10 = 250

it's semipetimeter = 540/2
= 270

using heron's formula area of the triangle =
root {(s)(s-a)(s-b)(s-c)}

where s is the semipetimeter and a,b,c
area the sides of the triangle.

root {( 270)(270-120)(270-170)(270-250)}
= 9000cm²