The height of a trapezoid is 8 cm. The lengths of the two diagonals of the trapezoid are 10 cm and 17 cm. Calculate the area of the trapezoid.
The height of a trapezoid is 8 cm. The lengths of the two diagonals of the trapezoid are 10 cm and 17 cm. Calculate the area of the trapezoid.
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Since the type of trapezoid is not specified, we can use a right trapezoid.
AB = sqrt(BD2 - AD2)
CD = sqrt(AC2 - AD2)
Area A = AD [(AB + CD) / 2] ==> A = 84 cm2