Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8501 | Find the angle $ \alpha $ of a trapezoid if long base $a = 56\, \text{cm}$, short base $b = 40\, \text{cm}$ and height $h = 20\, \text{cm}$. | 1 |
| 8502 | Find the long base $ a $ of a trapezoid if side $c = 14.25\, \text{in}$ and diagonal $d = 96\, \text{in}$. | 1 |
| 8503 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{in}$, diagonal $d = 97.05\, \text{in}$ and height $h = 14.25\, \text{mm}$. | 1 |
| 8504 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 4\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8505 | Find the side $ c $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 12\, \text{in}$. | 1 |
| 8506 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{mm}$, height $h = 20\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 8507 | Find the short base $ b $ of a trapezoid if long base $a = 350\, \text{mm}$, height $h = 20\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 8508 | Find the long base $ a $ of a trapezoid if height $h = 76.7\, \text{mm}$ and angle $\beta = 166^o$. | 1 |
| 8509 | Find the long base $ a $ of a trapezoid if short base $b = 282\, \text{mm}$, height $h = 76.7\, \text{mm}$ and angle $\beta = 166^o$. | 1 |
| 8510 | Find the long base $ a $ of a trapezoid if short base $b = 282\, \text{mm}$, height $h = 76.3\, \text{mm}$ and angle $\beta = 128^o$. | 1 |
| 8511 | Find the long base $ a $ of a trapezoid if short base $b = 282\, \text{mm}$, height $h = 76.3\, \text{mm}$ and angle $\beta = 128.33^o$. | 1 |
| 8512 | Find the long base $ a $ of a trapezoid if long base $a = 419.6\, \text{mm}$, height $h = 76.23\, \text{mm}$ and angle $\beta = 128.33^o$. | 1 |
| 8513 | Find the long base $ a $ of a trapezoid if short base $b = 282\, \text{mm}$, height $h = 76.23\, \text{mm}$ and angle $\beta = 128.33^o$. | 1 |
| 8514 | Find the long base $ a $ of a trapezoid if short base $b = 282\, \text{mm}$, height $h = 76.23\, \text{mm}$ and angle $\beta = 133.33^o$. | 1 |
| 8515 | Find the long base $ a $ of a trapezoid if short base $b = 282\, \text{mm}$, height $h = 76.23\, \text{mm}$ and angle $\beta = 130.33^o$. | 1 |
| 8516 | Find the long base $ a $ of a trapezoid if long base $a = 28.3\, \text{in}$, short base $b = 12.55\, \text{in}$, side $c = 15.6635\, \text{in}$ and height $h = 9.54\, \text{in}$. | 1 |
| 8517 | Find the long base $ a $ of a trapezoid if long base $a = 28.3\, \text{in}$, short base $b = 12.55\, \text{in}$ and side $c = 15.6635\, \text{in}$. | 1 |
| 8518 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28.3\, \text{in}$, short base $b = 12.55\, \text{in}$ and side $c = 15.6635\, \text{in}$. | 1 |
| 8519 | Find the angle $ \beta $ of a trapezoid if long base $a = 28.3\, \text{in}$, short base $b = 12.55\, \text{in}$ and side $c = 15.6635\, \text{in}$. | 1 |
| 8520 | Find the height $ h $ of a trapezoid if long base $a = 28.3\, \text{in}$, short base $b = 12.55\, \text{in}$ and side $c = 15.6635\, \text{in}$. | 1 |
| 8521 | Find the median $ m $ of a trapezoid if long base $a = 28.3\, \text{in}$, short base $b = 12.55\, \text{in}$ and side $c = 15.6635\, \text{in}$. | 1 |
| 8522 | Find the diagonal $ d $ of a trapezoid if long base $a = 28.3\, \text{in}$, short base $b = 12.55\, \text{in}$ and side $c = 15.6635\, \text{in}$. | 1 |
| 8523 | Find the long base $ a $ of a trapezoid if side $c = 15.6635\, \text{in}$, height $h = 9.54\, \text{in}$ and angle $\alpha = 59.8172^o$. | 1 |
| 8524 | Find the angle $ \beta $ of a trapezoid if long base $a = 28.3\, \text{in}$, height $h = 9.54\, \text{in}$ and angle $\alpha = 59.8172^o$. | 1 |
| 8525 | Find the angle $ \alpha $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 5\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 8526 | Find the angle $ \alpha $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 5\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 8527 | Find the side $ c $ of a trapezoid if long base $a = 28.3\, \text{in}$, height $h = 9.54\, \text{in}$ and angle $\alpha = 59.8172^o$. | 1 |
| 8528 | Find the median $ m $ of a trapezoid if long base $a = 28.3\, \text{in}$, height $h = 9.54\, \text{in}$ and angle $\alpha = 59.8172^o$. | 1 |
| 8529 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$, side $c = 22\, \text{in}$ and angle $\beta = 90^o$. | 1 |
| 8530 | Find the long base $ a $ of a trapezoid if short base $b = 270\, \text{mm}$, height $h = 90\, \text{mm}$ and angle $\beta = 45^o$. | 1 |
| 8531 | Find the long base $ a $ of a trapezoid if short base $b = 270\, \text{mm}$, height $h = 90\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 8532 | Find the long base $ a $ of a trapezoid if short base $b = 834\, \text{mm}$, height $h = 90\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 8533 | Find the long base $ a $ of a trapezoid if short base $b = 834\, \text{mm}$, height $h = 92\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 8534 | Find the long base $ a $ of a trapezoid if long base $a = 51.5\, \text{in}$, short base $b = 32\, \text{in}$ and height $h = 26\, \text{in}$. | 1 |
| 8535 | Find the height $ h $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 2\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8536 | Find the height $ h $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{mm}$ and side $c = 2\, \text{mm}$. | 1 |
| 8537 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 77\, \text{in}$ and height $h = 96\, \text{in}$. | 1 |
| 8538 | Find the long base $ a $ of a trapezoid if short base $b = 78.5\, \text{in}$, side $c = 22.5\, \text{in}$ and height $h = 15.75\, \text{in}$. | 1 |
| 8539 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 23.5\, \text{in}$. | 1 |
| 8540 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 20.5\, \text{in}$. | 1 |
| 8541 | Find the long base $ a $ of a trapezoid if long base $a = 7.625\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 8542 | Find the angle $ \alpha $ of a trapezoid if long base $a = 7.625\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 8543 | Find the angle $ \beta $ of a trapezoid if long base $a = 7.625\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 8544 | Find the long base $ a $ of a trapezoid if long base $a = 7.625\, \text{in}$, side $c = 4\, \text{in}$ and angle $\alpha = 88.5^o$. | 1 |
| 8545 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 10\, \text{mm}$. | 1 |
| 8546 | Find the angle $ \alpha $ of a trapezoid if long base $a = 600\, \text{mm}$, short base $b = 200\, \text{mm}$ and height $h = 1050\, \text{mm}$. | 1 |
| 8547 | Find the side $ c $ of a trapezoid if long base $a = 37.916\, \text{mm}$, short base $b = 31.916\, \text{ft}$ and height $h = 24.58\, \text{ft}$. | 1 |
| 8548 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{in}$, short base $b = 8\, \text{in}$ and height $h = 7.5\, \text{in}$. | 1 |
| 8549 | Find the area $ A $ of a trapezoid if long base $a = 11\, \text{in}$, short base $b = 8\, \text{in}$ and height $h = 7.5\, \text{in}$. | 1 |
| 8550 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11\, \text{in}$, short base $b = 8\, \text{in}$ and height $h = 7.5\, \text{in}$. | 1 |
