Question

Q5.The sides of a triangle are in the ratio 12: 17: 25 and its perimeter is 540cm. The area

is:

a. 1000 sq.cm.

b. 5000 sq.cm.

c. 9000 sq.cm.

d. 8000 sq.cm.​

Answer 1

Step-by-step explanation:

Let the common ratio between the sides of the giving triangle be x therefore, the side of the triangle will be 12x, 17x and 25,therefore the area of this triangle is 9000cm

Answer 2

Answer

Let x be common ratio

∴ Sides of triangle will be: 12x,17x and 25x

⇒Perimeter =540 cm(given)

⇒12x+17x+25x=540 cm,  

⇒54x=540 cm

⇒x=10 cm

∴ Sides of triangle: a=120,b=170,c=250 cms

⇒2S=540

⇒S=270 cm

A=  

s(s−a)(s−b)(s−c)

​

 

   =  

270(270−120)(270−170)(270−250)

​

  cm  

2

 

   =  

270×150×100×20

​

 cm  

 

A=9000 cm