Answer:
The length of the base should be greater or equal to 15 cm or the length of base should be at least 15 cm.
Explanation:
Consider the provided information.
It is given that the base is x cm.
One side of the triangle is 6 cm shorter than the base, this can be written as:
One side = x - 6
The other side is 4 cm longer than the base, this can be written as:
Other side = x + 4
Now it is given that perimeter of the triangle to be at least 43 cm, that means perimeter should be greater than or equal to 43.
Use the inequity ≥ for greater than or equal to.
Perimeter of a triangle is sum of all sides.
x - 6 + x + x + 4 ≥ 43
3x - 2 ≥ 43
3x ≥ 43 + 2
3x ≥ 45
x ≥ 15
Hence, the length of the base should be greater or equal to 15 cm or the length of base should be at least 15 cm.