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What are the lengths of the bases of an isosceles trapezoid when one base is 12 cm more than the other its area is 180 sq cm and its height is 6 cm?
Wiki User
∙ 13y ago
Let one base be x+12 and the other base be x:
1/2*(sum of bases)*height = area
1/2*(x+12+x)*6 = 180 sq cm
Multiply both sides by 2:
(x+12+x)*6 = 360
Multiply out the brackets:
6x+72+6x = 360
6x+6x = 360-72
12x = 288
Divide both sides by 12 to find the value of x:
x = 24
Therefore: the bases are 36 cm and 24 cm respectively
Check: 1/2*(36+24)*6 = 180 sq cm
Wiki User
∙ 13y ago
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Are all sides congruent in an isosceles trapezoid?
Yes but the parallel bases are of different lengths
If the bases of an isosceles trapezoid have lengths of 15 and 32 what is the length of the median If necessary round your answer to two decimal place?
23.5
What are all parts of a trapezoid?
Two bases that are parallel to each other and two sides that are of unequal lengths unless it is an isosceles trapezoid whereas the sides will be equal in length.
What are the bases of an isosceles trapezoid?
parallel
How do you get the height of the trapezoid if you only have the area?
Divide area by one half of the sum of the bases. You need to know base lengths to get height
If the bases of an isosceles trapezoid have lengths of 19 and 38 what is the length of the median?
28.5
What is the length of the median If the bases of an isosceles trapezoid have lengths of 19 and 38?
28.5
If the bases of an isosceles trapezoid have lengths of 15 and 32 what is the length of the median?
23.5 Units
If the bases of an isosceles trapezoid have lengths of 22 and 29 what is the length of the median?
25.5 units
Are all sides congruent in an isosceles trapezoid?
Yes but the parallel bases are of different lengths
What is the height of an isosceles trapezoid if the bases are 8 and 12?
With the information given it can be any height greater than zero units. If the area was given, or the lengths of the equal sides were given, then the height can be calculated specifically.
How do you find the height of a trapezoid when area given?
If the lengths of the bases are also given then rearrange the area of the trapezoid formula so that the height is the subject.
If the bases of an isosceles trapezoid have lengths of 15 and 32 what is the length of the median If necessary round your answer to two decimal place?
23.5
An isosceles trapezoid is a trapezoid with congruent bases?
False.
Is a isosceles trapezoid a trapezoid with congruent bases?
False.
How you could find the height of a trapezoid if you knew the length of the 2 bases and the area of the trapezoid?
Height of trapezoid = 2*area/sum of parallel sides
What are all parts of a trapezoid?
Two bases that are parallel to each other and two sides that are of unequal lengths unless it is an isosceles trapezoid whereas the sides will be equal in length.
