>>11447407>then H can be anywhere along ABi don't think so
>pic relatedABC is a right triangle so C can only be somewhere along the AB curve (upper half of the circle).
But because we have the area of the triangle, we know that the height over the side AB is 15, so C can't be anywhere we want:
If it's between C and C prime, h will be bigger than 15 and the area changes
If it's between BC or AC prime, h will be smaller than 15 and the area changes
So the only places that C is allowed to be (in order to have the height of 15 and C as the right angle) are C and C prime, which gives us 5 and 45
