Question

find the area of a triangle whose sides are in the ratio 5: 12: 13 and its perimeter is 60cm

Answer 1

5+12+13=30
30/60=20
5*20=100cm
12*20=240cm
13*20=260

area of triangle =

Answer 2

sides => 5x+12x+13x=60
=>30x=60. =>x=60/30=>2
therefore sides => 10cm , 24cm , and 26cm
semi perimeter => 60/2 => 30cm
therefore area =>
$\sqrt{30} (30 - 10)(30 - 24)(30 - 26)$
$\sqrt{30 \times } 20 \times 6 \times 4$
=>10*3*2*2 => 120cm2