# A parallelogram has sides with lengths of #12 # and #8 #. If the parallelogram's area is #72 #, what is the length of its longest diagonal?

Using the Pythagorean Theorem, I know that

Again, using the Pythagorean Theorem,

We can also find the length of the other diagonal using the same method and to verify which diagonal is the longer one.

Using the Pythagorean Theorem,

Again, using the Pythagorean Theorem,

Since DB>AC, DB is the longest diagonal.

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