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