Question

the lengths of the sides of a triangle are in the ratio 5:6:7. describe the length of the longest side if the perimeter is less than 54cm.

Answer 1

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 $5x+6x+7x$.

We have been given that the perimeter is less than 54 cm.

We can set this information in an inequality as:

$5x+6x+7x$

$18x$

$\frac{18x}{18}$

$x$

Since the length of longest side is $7x$, so:

$7x$

$7x$

$7x$

Therefore, the length of the longest side will be less than 21 cm.

Answer 2

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. )