SOLUTION: A trapezoid is a quadrilateral with exactly one pair of parallel sides. if the non-parallel sids have the same length, the trapezoid is isosceles. Make a diagram of an isosceles tr

Question 147595: A trapezoid is a quadrilateral with exactly one pair of parallel sides. if the non-parallel sids have the same length, the trapezoid is isosceles. Make a diagram of an isosceles trapezoid whose lengths are 7, 10, 19, and 10 inches. find the altitude of the trapezoid, (the distance that separates the parallel sides, and then find the enclosed area.)

please help me on this one!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
with the trapezoid resting on the longest side

the longest parallel side is 12 inches (19-7) longer than the shortest side
__ this means it "sticks out" 6 inches beyond the shortest side on both ends

two altitudes drawn from the ends of the shortest side will divide the trapezoid into three sections

two of the sections are right triangles with a base of 6 and a hypotenuse of 10
__ the height of the triangles is the altitude of the trapezoid (think 3-4-5)

the 3rd section is a rectangle with width 7 and the same height as the triangles (and the trapezoid)

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