Free · Algebra and geometric models
Right Trapezoid Area and Sloping Side
Solve a trapezoid with one perpendicular leg and one inclined leg.
- Formula & worked example
- Private in your browser
- No signup
Calculator inputs
Loading calculator…
How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
For the worked inputs, Area (A) = 14, d (slant side) = 5, Perimeter (P) = 16, Median = 3.5.
A=(a+b)h/2; slant²=(a−b)²+h²
Worked example
Enter these known values and leave the other values blank.
- a (base)
- 5 cm
- b (base)
- 2 cm
- c (side/height)
- 4 cm
- d (slant side)
- 5 cm
- Area (A)
- 14 cm²
- Perimeter (P)
- 16 cm
- γ
- 126.87 deg
- δ
- 53.13 deg
- Median
- 3.5 cm
Assumptions and limitations
- The longer base a exceeds the positive shorter base b.
- The perpendicular leg equals height. The two angles on the inclined side are supplementary.
Common questions
What must I enter?
Choose the mode when available and enter its independent known quantities. Leave an unknown editable quantity empty to use a supported inverse.
How should I use the result?
Interpret the numbers within the stated mathematical assumptions. Available unit selectors convert quantities; display rounding does not replace the internal calculation.
References
Explicit real-model bounds validate dimensions, inverse branches and discrete controls omitted or approximated in this capture. The international acre is exactly 43560 square international feet; Bookify replaces the rounded captured area factor.
Related calculators
Explore algebra and geometric models or browse all math calculators.