The base of a triangle is 66 cm greater than the height. the area is 2020 cmsquared2. find the height and the length of the base.

(B*H)/2= Area=2020
H+66=B
Plug in for B
((H+66)*H)/2=2020
Multiply both sides by 2, and distribute the H
H^2+66h=4040
H^2+66H-4040=0
Now we have a quadratic and must find the roots
This can be found by graphing or using the quadratic formula
(-B+-sqrtB^2-4(ac))/2a
One H value is positive while the other is negative so it must be the positive value
H=38.617
Plug that into the second equation
38.617+66=B
B=104.617

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