Question

One side of a triangles two centimeters shorter than the base. The other side is four centimeters longer than the base. What lengths of the base will allow the perimeter to be greater than 29 cm?

Answer 1

x > 9 cm

Step-by-step explanation:

Let the length of the base = x cm

One side of a triangle is 2 cm shorter than the base.

Length = (x-2)cm

The other side is 4 cm than the base, therefore:

Length of the other side = (x+4)cm

Perimeter = x+(x-2)+(x+4)

If the perimeter is greater than 29, then:

x+(x-2)+(x+4)>29

3x-2+4>29

3x+2>29

3x>29-2

3x>27

x>27/3

x>9

The length of the base greater than 9cm will allow the perimeter to be more than 29 cm.