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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.

 Dec 11, 2020
 #1
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Area of trapezoid = 1/2*b*(h_1 + h_2)

 

==> The area of the trapezoid is 105.

 Dec 11, 2020
 #2
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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

 

 Dec 11, 2020

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