the side of a tringale are in the ratio 1/3:1/4:1/5and its permeteris 94cm. the length of the smallest side is
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Let d sides be x/3,x/4,x/5.
x/3+x/4+x/5 = 94
(20x+15x+12x)=94*60
47x=94*60
x=120
length of smallest side i.e. x/5 =24.
x/3+x/4+x/5 = 94
(20x+15x+12x)=94*60
47x=94*60
x=120
length of smallest side i.e. x/5 =24.
Answered by
6
Hi , Let a , b , c are the sides of a triangle .
It is given that ,
a : b : c = 1/3 : 1/4 : 1/5
Multiply each ratio with
60 , we get
a : b : c = 60/3:60/4:60/5
a : b : c = 20 : 15 : 12
Let a = 20x , b = 15x , c = 12x ,
Perimeter = 94 m
a + b + c = 94
20x + 15x + 12x = 94
47x = 94
x = 94/47
x = 2
Therefore ,
a = 20x = 20 × 2 = 40 m
b = 15x = 15 × 2 = 30 m
c = 12x= 12 × 2 = 24 m
Least side length = c = 24 m
I hope this helps you. : )
It is given that ,
a : b : c = 1/3 : 1/4 : 1/5
Multiply each ratio with
60 , we get
a : b : c = 60/3:60/4:60/5
a : b : c = 20 : 15 : 12
Let a = 20x , b = 15x , c = 12x ,
Perimeter = 94 m
a + b + c = 94
20x + 15x + 12x = 94
47x = 94
x = 94/47
x = 2
Therefore ,
a = 20x = 20 × 2 = 40 m
b = 15x = 15 × 2 = 30 m
c = 12x= 12 × 2 = 24 m
Least side length = c = 24 m
I hope this helps you. : )
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