Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7451 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.21\, \text{in}$, short base $b = 0.1395\, \text{in}$ and side $c = 0.121\, \text{in}$. | 2 |
| 7452 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 5\, \text{mi}$ and side $c = 8\, \text{mi}$. | 2 |
| 7453 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 3\, \text{mi}$, side $c = 7\, \text{mi}$ and height $h = 5\, \text{mi}$. | 2 |
| 7454 | Find the long base $ a $ of a trapezoid if short base $b = 650\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 7455 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$ and median $m = 6.5\, \text{mm}$. | 2 |
| 7456 | Find the long base $ a $ of a trapezoid if long base $a = 490\, \text{dm}$, short base $b = 100\, \text{cm}$ and angle $\beta = 73^o$. | 2 |
| 7457 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 7458 | Find the perimeter $ P $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 7459 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 10.05\, \text{mm}$. | 2 |
| 7460 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 2\, \text{mm}$ and median $m = 3\, \text{mm}$. | 2 |
| 7461 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 2\, \text{mm}$. | 2 |
| 7462 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, short base $b = 59\, \text{mm}$, side $c = 27\, \text{mm}$, height $h = 14.9\, \text{mm}$, area $A = 161.665\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 7463 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, height $h = 14.9\, \text{mm}$ and area $A = 161.665\, \text{mm}^2$. | 2 |
| 7464 | Find the long base $ a $ of a trapezoid if long base $a = 74.5\, \text{mm}$, short base $b = 82.5\, \text{mm}$, side $c = 82.5\, \text{mm}$ and diagonal $d = 82.5\, \text{mm}$. | 2 |
| 7465 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{m}$, short base $b = 3\, \text{m}$ and area $A = 24\, \text{mi}^2$. | 2 |
| 7466 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 30\, \text{mm}$. | 2 |
| 7467 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$ and angle $\alpha = 82.6^o$. | 2 |
| 7468 | Find the side $ c $ of a trapezoid if short base $b = 1.35\, \text{mm}$, height $h = 1.45\, \text{mm}$ and angle $\alpha = 82.6^o$. | 2 |
| 7469 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{cm}$ and angle $\alpha = 70^o$. | 2 |
| 7470 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 6\, \text{cm}$. | 2 |
| 7471 | Find the long base $ a $ of a trapezoid if long base $a = 49.5\, \text{mm}$, side $c = 13\, \text{mm}$, height $h = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 7472 | Find the long base $ a $ of a trapezoid if long base $a = 192\, \text{in}$, short base $b = 144\, \text{in}$ and height $h = 144\, \text{in}$. | 2 |
| 7473 | Find the long base $ a $ of a trapezoid if long base $a = 186\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 7474 | Find the short base $ b $ of a trapezoid if long base $a = 19\, \text{mm}$. | 2 |
| 7475 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 7476 | Find the long base $ a $ of a trapezoid if long base $a = 5 \sqrt{ 27 }\, \text{mm}$ and short base $b = 3 \sqrt{ 12 }\, \text{mm}$. | 2 |
| 7477 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 30^o$. | 2 |
| 7478 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{km}$ and short base $b = 3\, \text{cm}$. | 2 |
| 7479 | Find the long base $ a $ of a trapezoid if short base $b = 1830\, \text{mm}$, side $c = 750\, \text{mm}$, diagonal $d = 2464\, \text{mm}$ and angle $\beta = 141^o$. | 2 |
| 7480 | Find the long base $ a $ of a trapezoid if height $h = 7\, \text{in}$ and area $A = 35.5\, \text{in}^2$. | 2 |
| 7481 | Find the side $ c $ of a trapezoid if height $h = 3.98\, \text{ft}$, angle $\alpha = 58^o$ and angle $\beta = 127^o$. | 2 |
| 7482 | Find the short base $ b $ of a trapezoid if short base $b = 38\, \text{in}$, side $c = 14\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 7483 | Find the short base $ b $ of a trapezoid if short base $b = 38\, \text{in}$, side $c = 14\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 7484 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{in}$, height $h = 14\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 7485 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{in}$, height $h = 14\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 7486 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{in}$, height $h = 14\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 7487 | Find the long base $ a $ of a trapezoid if long base $a = 29.25\, \text{in}$ and side $c = 8.625\, \text{in}$. | 2 |
| 7488 | Find the long base $ a $ of a trapezoid if short base $b = 28\, \text{mm}$ and side $c = 20\, \text{mm}$. | 2 |
| 7489 | Find the long base $ a $ of a trapezoid if long base $a = 63\, \text{in}$, short base $b = 48\, \text{in}$ and diagonal $d = 14\, \text{in}$. | 2 |
| 7490 | Find the short base $ b $ of a trapezoid if long base $a = 44\, \text{ft}$, side $c = 20.5\, \text{ft}$ and height $h = 15\, \text{ft}$. | 2 |
| 7491 | Find the side $ c $ of a trapezoid if long base $a = 200\, \text{ft}$, height $h = 30\, \text{ft}$ and angle $\alpha = 5^o$. | 2 |
| 7492 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{ft}$, side $c = 4\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 7493 | Find the side $ c $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 150\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 5^o$. | 2 |
| 7494 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, height $h = 2\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 7495 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{in}$, side $c = 27\, \text{in}$, angle $\alpha = 80.9^o$ and angle $\beta = 99.1^o$. | 2 |
| 7496 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{in}$, angle $\alpha = 80.9^o$ and angle $\beta = 99.1^o$. | 2 |
| 7497 | Find the height $ h $ of a trapezoid if long base $a = 74\, \text{in}$, short base $b = 32\, \text{in}$, side $c = 30\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 7498 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 60\, \text{mm}$. | 2 |
| 7499 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{cm}$, short base $b = 30\, \text{cm}$, side $c = 86\, \text{cm}$ and diagonal $d = 90\, \text{cm}$. | 2 |
| 7500 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
