Step-by-step explanation:
Let area of triangle = A
base = b
altitude = a
Equation: A=kba
If b=2, A=6, a=3, then 6=k(2)(3). Simplifying it will become...
6=k6
1=k
If b=3, and a=5, then A=(1)(3)(5)=15.
Now, if b is doubled, then...
For example, b=4, A=6, a=3, then 6=k(4)(3)
6=k12
½=k
Back to the example, if b=6, and a=5, then A=½(6)(5), A=½(30)=15.
If you will look the answers, you will see that the area isn't changed, but the constant, k is halved.