Question

The premeter of triangle is 360x,6,its side are in the area 3:4:5 find its area.​

Answer 1

Answer:

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Answer 2

Answer:

perimeter=36

let the ratio be x

therefore,

⇒AB+BC+CA=36

⇒3x+4x+5x=36

⇒12x=36

⇒x=  

12

36

​

 

⇒x=3

​

 

Now, putting the value of x

AB=3x=9cm

BC=4x=12cm

AC=5x=15cm

On using Pythagoras theorem

AC  

2

=AB  

2

+BC  

2

 

=(9)  

2

+(12)  

2

 

=81+144

AC  

2

=225

AC=15cm

​

 

ΔABC is right angled triangle ∠B is right angle.

Area of  

ΔABC=  

2

1

​

AB×BC

=  

2

1

​

×9×12

=54cm  

2

 

​

 

hence,

Area of triangle is 54cm  

2

Step-by-step explanation:

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