How Can I Find The Unknown Base Of A Trapezoid?
If the area, height, and first base is given how can i find the unknown base of a trapezoid?
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asked 2 years ago
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The equation for area of a trapezoid is a=1/2*h(b1+b2). To find the measure of missing base, you will multiply 1/2 times h, then divide each side by that product. That will cancel the 1/2*h on one side, leaving you with area over half the height equal to b1 + b2. Then subtract b1 from each side, which will result in the following equation: (area / (1/2*h)) - b1 = b2.
To plug in numbers, let's say area = 28; height = 4; and b1 =8. We need to find b2. When we substitute in to the original equation, it looks like this:
28 = 1/2*(4)(8 + b2) Substitution
28/2 = (8 + b2) Divide both sides by 1/2 height
14 - 8 = b2 Subtract b1 from both sides
6 = b2 Simplify
The measure of the missing base is 6.
To plug in numbers, let's say area = 28; height = 4; and b1 =8. We need to find b2. When we substitute in to the original equation, it looks like this:
28 = 1/2*(4)(8 + b2) Substitution
28/2 = (8 + b2) Divide both sides by 1/2 height
14 - 8 = b2 Subtract b1 from both sides
6 = b2 Simplify
The measure of the missing base is 6.
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Wow - this is incredibly helpful. My textbook covered finding a missing height, but nothing about a missing base... And then sprung 2 of the latter type in the assignment! :0
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