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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?
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
What else can I help you with?
Are all sides congruent in an isosceles trapezoid?
Yes but the parallel bases are of different lengths
Does an isosceles trapezoid have four congruent sides?
No, an isosceles trapezoid does not have four congruent sides. An isosceles trapezoid has a pair of parallel sides (the bases) and the non-parallel sides (the legs) are of equal length, but the lengths of the bases are generally different. Thus, it has only two pairs of congruent sides, not four.
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
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.
Does an isosceles trapezoid have four congruent sides?
No, an isosceles trapezoid does not have four congruent sides. An isosceles trapezoid has a pair of parallel sides (the bases) and the non-parallel sides (the legs) are of equal length, but the lengths of the bases are generally different. Thus, it has only two pairs of congruent sides, not four.
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.
Is a isosceles trapezoid a trapezoid with congruent bases?
False.
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
