Question

The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4inches. What is the length of the third side?A 7 inchesB. 8 inchesC 9 inchesD. unable to solve with given information

Answer 1

Given,

The perimeter of the triangle, p=17 inches

Length of the 1st side of the triangle, a=5 inches

The length of the other side of the triangle, b=4 inches.

Let the other side of the triangle be c.

The perimeter of the triangle is given by,

`p=a+b+c`

Therefore the value of the third side, c can be calculated as,

`c=p-a-b`

On substituting the known values in the above equation,

`c=17-5-4=8\text{ inches}`

Therefore, the length of the third side is 8 inches.

And the correct answer is option B.