Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9001 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 25.25\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9002 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 25.5\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9003 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 9004 | Find the long base $ a $ of a trapezoid if long base $a = 56\, \text{in}$ and short base $b = 32\, \text{in}$. | 1 |
| 9005 | Find the long base $ a $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9006 | Find the long base $ a $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9007 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9008 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9009 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and angle $\beta = 135^o$. | 1 |
| 9010 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and area $A = 88\, \text{mm}^2$. | 1 |
| 9011 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and area $A = 88\, \text{in}^2$. | 1 |
| 9012 | Find the height $ h $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and area $A = 88\, \text{in}^2$. | 1 |
| 9013 | Find the height $ h $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9014 | Find the height $ h $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and median $m = 44\, \text{in}$. | 1 |
| 9015 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and median $m = 44\, \text{in}$. | 1 |
| 9016 | Find the perimeter $ P $ of a trapezoid if long base $a = 56\, \text{in}$, short base $b = 32\, \text{in}$ and median $m = 44\, \text{in}$. | 1 |
| 9017 | Find the angle $ \alpha $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 9018 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 17\, \text{in}$. | 1 |
| 9019 | Find the long base $ a $ of a trapezoid if short base $b = 2145\, \text{mm}$, side $c = 300\, \text{mm}$, height $h = 2145\, \text{mm}$, angle $\alpha = 87^o$ and angle $\beta = 93^o$. | 1 |
| 9020 | Find the long base $ a $ of a trapezoid if short base $b = 2145\, \text{mm}$, side $c = 300\, \text{mm}$, angle $\alpha = 87^o$ and angle $\beta = 93^o$. | 1 |
| 9021 | Find the short base $ b $ of a trapezoid if short base $b = 2145\, \text{mm}$, side $c = 300\, \text{mm}$ and angle $\alpha = 87^o$. | 1 |
| 9022 | Find the long base $ a $ of a trapezoid if short base $b = 2145\, \text{mm}$, height $h = 300\, \text{mm}$ and angle $\beta = 93^o$. | 1 |
| 9023 | Find the side $ c $ of a trapezoid if short base $b = 2145\, \text{mm}$, diagonal $d = 2165\, \text{mm}$ and height $h = 30\, \text{mm}$. | 1 |
| 9024 | Find the long base $ a $ of a trapezoid if long base $a = 2165\, \text{mm}$, short base $b = 2145\, \text{mm}$, side $c = 300\, \text{mm}$ and angle $\beta = 90^o$. | 1 |
| 9025 | Find the long base $ a $ of a trapezoid if short base $b = 2145\, \text{mm}$, height $h = 300\, \text{mm}$ and angle $\beta = 90^o$. | 1 |
| 9026 | Find the long base $ a $ of a trapezoid if long base $a = 3.1\, \text{mm}$, short base $b = 2.5\, \text{mm}$ and side $c = 2.8\, \text{mm}$. | 1 |
| 9027 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 13\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 9028 | Find the height $ h $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 13\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 9029 | Find the angle $ \alpha $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 13\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 9030 | Find the angle $ \beta $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 13\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 9031 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$ and height $h = 72\, \text{in}$. | 1 |
| 9032 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 10\, \text{in}$, side $c = 11\, \text{in}$ and height $h = 11\, \text{in}$. | 1 |
| 9033 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 11\, \text{in}$. | 1 |
| 9034 | Find the diagonal $ d $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 11\, \text{in}$. | 1 |
| 9035 | Find the angle $ \beta $ of a trapezoid if long base $a = 1.65\, \text{mm}$, short base $b = 1.262\, \text{mm}$ and height $h = 1.5\, \text{mm}$. | 1 |
| 9036 | Find the angle $ \alpha $ of a trapezoid if long base $a = 119.5\, \text{in}$, short base $b = 91.5\, \text{in}$, height $h = 24.375\, \text{in}$ and median $m = 105.5\, \text{mm}$. | 1 |
| 9037 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 9038 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 9039 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{in}$ and side $c = 4\, \text{mm}$. | 1 |
| 9040 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 4\, \text{in}$. | 1 |
| 9041 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 4\, \text{in}$. | 1 |
| 9042 | Find the angle $ \beta $ of a trapezoid if long base $a = 50.25\, \text{in}$, short base $b = 16\, \text{in}$ and angle $\alpha = 43^o$. | 1 |
| 9043 | Find the long base $ a $ of a trapezoid if long base $a = 188\, \text{mm}$, short base $b = 165\, \text{mm}$ and height $h = 85\, \text{mm}$. | 1 |
| 9044 | Find the angle $ \alpha $ of a trapezoid if long base $a = 188\, \text{mm}$, short base $b = 165\, \text{mm}$ and height $h = 85\, \text{mm}$. | 1 |
| 9045 | Find the short base $ b $ of a trapezoid if long base $a = 180\, \text{mm}$, height $h = 6\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9046 | Find the side $ c $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and height $h = 8.5\, \text{in}$. | 1 |
| 9047 | Find the long base $ a $ of a trapezoid if long base $a = 46\, \text{in}$. | 1 |
| 9048 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and side $c = 16\, \text{in}$. | 1 |
| 9049 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46\, \text{in}$, height $h = 16\, \text{mm}$ and angle $\alpha = 57.91^o$. | 1 |
| 9050 | Find the short base $ b $ of a trapezoid if long base $a = 46\, \text{in}$, height $h = 16\, \text{mm}$ and angle $\alpha = 57.91^o$. | 1 |
