Question

I need help with my homework and will be very happy if you can help me

Answer 1

Given:

There are given the scalene triangle.

where,

The perimeter of is 14.5 cm.

Step-by-step explanation:

To find the equation, we need to use the formula of perimeter:

So,

From the formula of perimeter:

`P=a+b+c`

Now,

According to the question:

It has been said that the longest side is twice that of the shortest side.

So,

Let's assume that a is the longest side and b is the shortest side.

So,

The equation for the shortest side is:

`\begin{gathered} 6.2=2c \\ c=3.1 \end{gathered}`

Then,

Put the value of perimeter, a and c into the given perimeter formula:

So,

`\begin{gathered} P=a+b+c \\ 14.5=6.2+3.1+b \\ 9.3+b=14.5 \end{gathered}`

Final answer:

Hence, the correct option is B.