Question

One side of a triangle is 4 cm shorter than the base, x. The other side is 3 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 29 cm? Write your answer as an Inequality.

Answer 1

So the base is X cm, one side is X+4 cm and the last side is X+3 cm. We know that all those sides combined need to be at least 29cm. This gives us 3X + 7 > 29cm. If we solve this, we get 3X > 22cm which means X > 22/3 which means X is bigger than 7 1/3 cm