The ratio of the sides of a triangle are: 3 : 4 : 6
The length of the sides are 3x , 4x and 6x
The length of longest side is 6x
The longest side has a length of 30 cm.
6x = 30
Divide both sides by 6
x= 5
We know , length of shortest side is 3x
we got x=5
So 3x becomes 3 times 5= 15
the length of the shortest side= 15 cm
Answer: 15 cm
Step-by-step explanation:
Given : The ratio of the sides of a triangle are: 3 : 4 : 6 .
Let the sides of the triangle are 3x , 4x and 6x.
The longest side has a length of 30 cm.
Then , we have the following equation :-
[tex]6x=30\\\\\Rightarrow\ x =\dfrac{30}{6}=5[/tex]
Now, the length of the shortest side will be :-
[tex]3x=3(5)=15\ cm[/tex]
Hence, the length of the shortest side = 15 cm
