Question

In a given triangle, the largest side is twice the length of the smallest side.The other side (that is not the smallest or largest) is 2 units longer than the smallest side.Which expression represents the perimeter of the triangle if x represents the length of the smallest side? Draw a picture to help you.

Answer 1

Perimeter = 4x + 2

Explanation:

In the given triangle ABC,

Let the largest side of the triangle = a

and the smallest side of the triangle = x

Largest side of the triangle is twice the length of the smallest side.

a = 2x -----(1)

The other side 'b' is 2 units longer than the smallest side.

b = x + 2 -------(2)

Perimeter of the triangle will be

P = a + b + x

P = 2x + (x + 2) + x

P = 4x + 2