Question

If each side of a given triangle is increased by 10cm, then the ration of the perimeters of the new triangle after increasing the side to the given triangle is 5:4. Find the perimeters of the given triangle and the new triangle.

Answer 1

let the one side=x 
the other side=y 
the last side=z 
given x+10+y+10+z+10/x+y+z=5/4 
4x+40+4y+40+4z+40=5x+5y+5z 
x+y+z=120

Answer 2

Hope it helps....!!!

_____________

Let, the sides of the triangle be x, y and z respectively.

Old perimeter = x + y + z

 
New sides = x+10, y+10, z+10


New perimeter = {(x+10) + (y+10) + (z+10) = x + y + z + 30

 
According to question -

(x + y + z + 30) / ( x + y + z) = 5/4

=> 4x + 4y + 4z + 120 = 5x + 5y + 5z 

=> 5x - 4x + 5y - 4y + 5z - 4z = 120 

=>  x + y + z = 120 

Thus the perimeter of given triangle is 120 cm.

__________________

#Be Brainly✌️