Find the area of a triangle whose sides are in the ratio 5 12 13 and i

1.	Find the area of a triangle whose sides are in the ratio 5 12 13 and its perimeter is 60cm.
Answer» The sides of triangle will be 5x , 12x , 13x Now Perimeter=60 Hence 5x+12x+ 13x=6030x= 60x=2 So the sides of triangle are 10 , 24 , 26 Now we can observe triangle is a right angled triangle as 26^2=24^2+10^2 This follows Pythagoras theorem Hence area of triangle=(1/2)(2410) =120

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

Answer»

The sides of triangle will be 5x , 12x , 13x

Now Perimeter=60

Hence 5x+12x+ 13x=6030x= 60x=2

So the sides of triangle are 10 , 24 , 26

Now we can observe triangle is a right angled triangle as

26^2=24^2+10^2

This follows Pythagoras theorem

Hence area of triangle=(1/2)*(24*10) =120