A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The measure of the side DG is 16 cm.
What is a rectangle?
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
In the ΔDEF using the Pythagoras theorem, we can write,
DE² + EF² = DF²
12² + EF² = 20²
EF = 400 - 144
EF = √256
EF = 16 cm
Since in a rectangle the measure of opposite sides is equal, therefore,
EF = DG = 16 cm
Hence, the measure of the side DG is 16 cm.
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