Area
32.00
Median
8.00
Perimeter
26.00
Perpendicular distance between the two parallel sides
Leave blank or set to 0 if unknown. Area and median only need the bases and height.
32.00
square units
A = ½(10.00 + 6.00) × 4.00
8.00
m = (a + b) / 2 = (10.00 + 6.00) / 2
The median connects the midpoints of the two legs and is parallel to both bases.
26.00
P = 10.00 + 6.00 + 5.00 + 5.00
A = ½(a + b) × hThe area is half the sum of the two parallel bases multiplied by the perpendicular height.
Where:
a= Length of the first parallel side (base 1)b= Length of the second parallel side (base 2)h= Perpendicular distance between the parallel sidesm = (a + b) / 2The median connects the midpoints of the two legs and is parallel to both bases.
Where:
a= Length of the first parallel sideb= Length of the second parallel sidem= Median (midsegment) lengthP = a + b + c + dThe perimeter is the sum of all four side lengths.
Where:
a, b= Lengths of the two parallel sides (bases)c, d= Lengths of the two non-parallel sides (legs)Inputs
Result
Area = ½(10 + 6) × 4 = ½(16)(4) = 32. Median = (10 + 6) / 2 = 8. Perimeter = 10 + 6 + 5 + 5 = 26. Legs are equal (5 = 5), so it is isosceles.
Inputs
Result
Area = ½(8 + 12) × 5 = ½(20)(5) = 50. Median = (8 + 12) / 2 = 10. Perimeter = 8 + 12 + 5 + 6.4 = 31.40. Legs differ (5 ≠ 6.4), so not isosceles.
Inputs
Result
Area = ½(15 + 9) × 7 = ½(24)(7) = 84. Median = (15 + 9) / 2 = 12. Perimeter = 15 + 9 + 8 + 8 = 40. Legs are equal (8 = 8), isosceles.
Area = ½ × (a + b) × h, where a and b are the two parallel sides (bases) and h is the perpendicular height. For bases 10 and 6 with height 4: Area = ½(10 + 6)(4) = 32 square units.
| Base 1 | Base 2 | Height | Area |
|---|---|---|---|
| 6 | 4 | 3 | 15.00 |
| 10 | 6 | 4 | 32.00 |
| 8 | 12 | 5 | 50.00 |
| 15 | 9 | 7 | 84.00 |
The median (or midsegment) = (a + b) / 2, the average of the two parallel bases. For bases 10 and 6: median = (10 + 6) / 2 = 8. The median connects the midpoints of the two non-parallel sides.
| Base 1 | Base 2 | Median |
|---|---|---|
| 6 | 4 | 5.00 |
| 10 | 6 | 8.00 |
| 8 | 12 | 10.00 |
| 15 | 9 | 12.00 |
| 20 | 10 | 15.00 |
Perimeter = a + b + c + d, where a and b are the parallel sides and c and d are the non-parallel sides (legs). For bases 10 and 6, legs 5 and 5: P = 10 + 6 + 5 + 5 = 26.
An isosceles trapezoid has two non-parallel sides (legs) of equal length. This means the trapezoid is symmetrical about the perpendicular bisector of the bases.
A trapezoid has exactly one pair of parallel sides, while a parallelogram has two pairs. A parallelogram is a special case where both pairs of opposite sides are parallel and equal.
A trapezoid (or trapezium in British English) is a quadrilateral with exactly one pair of parallel sides called bases. The non-parallel sides are called legs.
The area formula A = ½(a + b) × h is one of the most commonly used in geometry. It can also be expressed as A = median × height, since the median is the average of the two bases.
Trapezoids appear in architecture (roof trusses, bridge supports), road design (cross-sections of channels), and even everyday objects like lamp shades and bucket profiles.
Last Updated: Mar 11, 2026
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