Answer:
length of the longest side is less than 21
Step-by-step explanation:
5n+6n+7n=18n
18n<54
n<54/18
n<3
7*3=21( longest side. )
Answer:
Less than 21 cm.
Step-by-step explanation:
Let x represent the multiplier.
We have been given that the lengths of the sides of a triangle are in the ratio 5:6:7. The perimeter of all sides of the triangle would be [tex]5x+6x+7x[/tex].
We have been given that the perimeter is less than 54 cm.
We can set this information in an inequality as:
[tex]5x+6x+7x<54[/tex]
[tex]18x<54[/tex]
[tex]\frac{18x}{18}<\frac{54}{18}[/tex]
[tex]x<3[/tex]
Since the length of longest side is [tex]7x[/tex], so:
[tex]7x<7\cdot 3[/tex]
[tex]7x<7\cdot 3[/tex]
[tex]7x<21[/tex]
Therefore, the length of the longest side will be less than 21 cm.
