Question

side of a triangle are in the ratio of 12:17:25 and its perimeter is 540 cm find its area

Answer 1

let the side of the triangle be 12x , 17x and 25x

Perimeter = 540 cm

12x+ 17x+ 25x = 540

54x = 540

x = 540/54

x = 10

sides of the traingle are 120 , 170 and 250

AREA OF A TRIANGLE = 1/2× B×H

= 1/2× 120 × 170

= 10200 cm^2

Answer 2

sides of triangle = perimeter = it's all sides

let sides be x

12x + 17x + 25x = 540
54x = 540
x = 10 cm
all sides are equal in length
for area we draw median of the triangle
suppose in triangle a,b,c - d is median
then we have bd = cd = 5cm
we use Pythagoras theorm 10 square - 5square we have height 5root 3
area of triangle = 1/2 base into height
1/2 ×10×5root3. your area will be43.30 something