Question

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side.The third side is 7 meters more than the first side. What is the length of each side?

Answer 1

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches

Explanation:

Perimeter of triangle = 65 meters

Let

First side of triangle = x

Second side of triangle = x-5 (The second side is 5 meters less than the first side.)

Third side of triangle = x+7 (The third side is 7 meters more than the first side.)

We need to find length of each side.

The formula used is:

`\mathbf{Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle}`

Putting values and finding value of x

`Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\65=x+x-5+x+7\\65=3x+2\\Switching\:sides\\3x+2=65\\Subtracting\:2\:from\:both\:sides\\3x+2-2=65-2\\3x=65-2\\3x=63\\Divide\:both\:sides\:by\:x\\(3x)/(3)=(63)/(3)\\x=21`

So, We get value of x = 21

Now, finding the length of each side of triangle:

First side of triangle = x = 21

Second side of triangle = x-5 =21-5 =16

Third side of triangle = x+7 = 21+ 7 = 28

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches