Question

the point a(4 -2) b(7 2) c(0 9) d(-3 5) from a parallelogram. find the lenth of altitude of the parallelogram on the base AB

Answer 1

we know that triangle on the same base and between same parallel have equal area.
so,find area of one triangle inside the parallelogram ABC using coordinate geometry .triangle formula.
by given coordinates.

then multiply it with 2
so we find area of parallelogram.

by using distance formula find base of the parallelogram by given coordinates.
using formula for finding area of parallelogram find the height of altitude

b×h=area of parallelogram.

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