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ABCD is a trapezoid. = 2.5 cm, and = 4 cm, and the area = 6.5 cm2. What is the altitude of the trapezoid?

1 cm
1.5 cm
2 cm
2.5 cm

ABCD is a trapezoid. = 2.5 cm, and = 4 cm, and the area = 6.5 cm2. What is the altitude-example-1
User Gryu
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2 Answers

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Answer: 2 cm.

Hope this helps: )

User Abdul Wasae
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Short Answer h = 6.5
Remark
I'm taking it that AB = 2.5 cm and that CD = 4cm

Formula
Area = 1/2(b1 + b2) * h

Givens
Area = 6.5 cm^2
b1 = 2.5 cm
b2 = 4 cm

Substitute
6.5 = 1/2 ( 2.5 + 4) * h
6.5 = 1/2 (6.5) * h Multiply both sides by 2
6.5 * 2 = 6.5 * h Divide both sides by 6.5
6.5 * 2/ 6.5 = 6.5 * h / 6.5
2 = h <<<<<< Answer

User Ttekin
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8.0k points