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we know that sum of all side of the triangle =180°
let the lenght of the triangle be "x"
=6x+5x+4x=180°
=15x=180°
=x=180/15
=x=12
Therefore ,
6×12=72
5×12=60
4×12=48
therfore the length will be 72cm,60cm,48cm.
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perimeter of a triangle ABC is 37cm.
Let the sides be x cm,y cm and Z cm. Also, let the lengths of altitudes be 6a cm,5a cm and4a cm.
Area=
1/2*6a*x=1/2*y*5a1/2∗6a∗x=1/2∗y∗5a
6x=5y6x=5y
like wise
1/2*z*4a=1/2*y*5a1/2∗z∗4a=1/2∗y∗5a
4z=5y4z=5y
So, 6x=5y=4z
As perimeter of a triangle ABC is 37cm.
x+y+z=37x+y+z=37
5/6x+y+5/4z=375/6x+y+5/4z=37
10y+12y+15y=37*1210y+12y+15y=37∗12
37y=37*1237y=37∗12
Y=12Y=12
x=12*5/6=10x=12∗5/6=10
z=12*5/4=15z=12∗5/4=15
lengths of its sides x is 10cm,y is 12cm and z is 15cm.
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