Question

Find length of each side

Answer 1

Option b: 10 in, 18.5 in, 31.5 in.

Explanation:

The three sides of a triangle are $2y+1, 3y+5$ and $7y$

The perimeter of the triangle is $60 in$.

Since, Perimeter = all sides of the triangle

Let us add all the three sides to determine the length of each side.

$Perimeter=2y+1+3y+5+7y$

Substituting the value of Perimeter and simplifying, we get,

$60=12y+6\\54=12y\\4.5=y$

Substituting $y=4.5$ in the three sides of the triangle $2y+1, 3y+5$ and $7y$, we get,

$2y+1=2(4.5)+1=10 in$

$3y+5=3(4.5)+5=18.5 in$

$7y=7(4.5)=31.5 in$

Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.