Using the area formula for a triangle, you can solve for the length of the base and height. Since A=(base * height)/2, we can rearrange to solve for the length of the base or the height. I will be solving for the length first.
Using the formula given, you can rearrange it to find that the base equals
B=2A/H
Remembering that the height is 5 cm greater than the base, we can say H=B+5
plugging that value in for H, we get that
B=2A/(B+5). We know A equals 375, so we can also add that in
B=2(375)/(B+5)
solving for B will give us a polynomial, by multiplying both sides by B+5 to get
B^2+5B=750. We can bring it all to one side to get
B^2+5B-750=0. solving the polynomial, we get that B equals
(B-25)(B+30) or B=25,-30
Since it doesn't make sense to have a negative length, we can assume it is the 25 value that equals B. Finally we can plug this value into the original triangle area formula to find that
A=(B*H)/2
2A/B=H
2(375)/25=H=30
Base=25cm
Height=30cm
This also fits the criteria of the Height being 5 centimeters greater than tha base value
