Using the Pythagorean theorem, the distance between the parallel sides is: B. 3.
What is the Pythagorean Theorem?
The Pythagorean theorem is given as, c² = a² + b², if in a right triangle, a and b are the lengths of the smaller legs, and c is the length of the longest side (hypotenuse).
What is a Trapezoid?
A trapezoid is a quadrilateral that has one pair of opposite sides that are parallel to each other. These parallel sides are called bases. The distance between the height of the parallel sides of a trapezoid is the height of the trapezoid.
In the image given, we would apply the Pythagorean theorem to find the distance between the parallel sides of the right trapezoid.
c = 5
a = 8 - 4 = 4
b = distance between the parallel sides
b = √(5² - 4²)
b = 3 units.
The answer is: B. 3.
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