In triangle ABC,AB=10,AC=7 and BC=8

How do we need to slide out along AB so that the area of the overlapping region(the shaded triangle A'BD) is half the area of triangle ABC?

1 answer

Since the height would not change, the base of the shaded triangle, which we can't see,
has to be 5 units to be half the original triangle.
remember : area of triangle = (1/2)(base)(height)