Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1401 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 3 |
| 1402 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 57^o$. | 3 |
| 1403 | Find the long base $ a $ of a trapezoid if long base $a = 4793\, \text{mm}$, short base $b = 4807\, \text{mm}$ and side $c = 3035\, \text{mm}$. | 3 |
| 1404 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{mm}$, side $c = 7\, \text{mm}$ and diagonal $d = 20.68\, \text{mm}$. | 3 |
| 1405 | Find the long base $ a $ of a trapezoid if ???. | 3 |
| 1406 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, short base $b = 10\, \text{cm}$ and side $c = 6\, \text{cm}$. | 3 |
| 1407 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{ft}$, short base $b = 1\, \text{cm}$ and height $h = 4\, \text{cm}$. | 3 |
| 1408 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 6.12^o$. | 3 |
| 1409 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{mm}$, height $h = 2.5\, \text{mm}$ and angle $\alpha = 82.6^o$. | 3 |
| 1410 | Find the long base $ a $ of a trapezoid if long base $a = 41\, \text{mm}$, short base $b = 30\, \text{cm}$ and side $c = 10\, \text{cm}$. | 3 |
| 1411 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{cm}$, side $c = 11\, \text{cm}$ and angle $\beta = 45^o$. | 3 |
| 1412 | Find the long base $ a $ of a trapezoid if long base $a = 59.95\, \text{mi}$, short base $b = 59.7\, \text{cm}$ and side $c = 0.45\, \text{cm}$. | 3 |
| 1413 | Find the long base $ a $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 36\, \text{in}$ and height $h = 36\, \text{in}$. | 3 |
| 1414 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{ft}$, side $c = 20.5\, \text{ft}$ and height $h = 15\, \text{ft}$. | 3 |
| 1415 | Find the long base $ a $ of a trapezoid if long base $a = 7.8\, \text{ft}$, short base $b = 3.2\, \text{cm}$ and side $c = 8.4\, \text{cm}$. | 3 |
| 1416 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 3 |
| 1417 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$ and side $c = 4\, \text{mm}$. | 3 |
| 1418 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 3 |
| 1419 | Find the area $ A $ of a trapezoid if short base $b = 8\, \text{ft}$, height $h = 0.7\, \text{ft}$ and angle $\alpha = 21.8^o$. | 3 |
| 1420 | Find the long base $ a $ of a trapezoid if short base $b = 72\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 60^o$. | 3 |
| 1421 | Find the median $ m $ of a trapezoid if ???. | 3 |
| 1422 | Find the angle $ \alpha $ of a trapezoid if long base $a = 29\, \text{in}$, short base $b = 17\, \text{mm}$ and side $c = 16\, \text{mm}$. | 3 |
| 1423 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 36^o$. | 3 |
| 1424 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 54^o$. | 3 |
| 1425 | Find the long base $ a $ of a trapezoid if long base $a = 2.8\, \text{m}$, short base $b = 6\, \text{m}$ and side $c = 3.8\, \text{m}$. | 3 |
| 1426 | Find the long base $ a $ of a trapezoid if long base $a = 242\, \text{cm}$, short base $b = 148.5\, \text{cm}$ and height $h = 51.5\, \text{cm}$. | 3 |
| 1427 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{cm}$, height $h = 6\, \text{cm}$ and area $A = 81\, \text{cm}^2$. | 3 |
| 1428 | Find the long base $ a $ of a trapezoid if long base $a = 142\, \text{mm}$, short base $b = 93\, \text{mm}$, side $c = 1268\, \text{mm}$ and diagonal $d = 1262\, \text{mm}$. | 3 |
| 1429 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 3 |
| 1430 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{mm}$, short base $b = 7\, \text{mm}$ and height $h = 8\, \text{mm}$. | 3 |
| 1431 | Find the long base $ a $ of a trapezoid if area $A = 0.25\, \text{mm}^2$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1432 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 60^o$. | 3 |
| 1433 | Find the long base $ a $ of a trapezoid if long base $a = 12.25\, \text{in}$, short base $b = 10\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 5^o$. | 3 |
| 1434 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{in}$, height $h = 17.75\, \text{in}$ and angle $\beta = 112^o$. | 3 |
| 1435 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 18\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 80^o$. | 3 |
| 1436 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{ft}$, side $c = 17\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1437 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1438 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, short base $b = 39\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1439 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1440 | Find the side $ c $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$. | 3 |
| 1441 | Find the angle $ \beta $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$. | 3 |
| 1442 | Find the median $ m $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$. | 3 |
| 1443 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 25^o$. | 3 |
| 1444 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 25^o$. | 3 |
| 1445 | Find the side $ c $ of a trapezoid if long base $a = 21\, \text{ft}$ and short base $b = 68\, \text{in}$. | 3 |
| 1446 | Find the height $ h $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 17.5\, \text{mm}$ and side $c = 17.5\, \text{mm}$. | 3 |
| 1447 | Find the diagonal $ d $ of a trapezoid if long base $a = 276\, \text{in}$, short base $b = 144\, \text{in}$ and side $c = 310\, \text{in}$. | 3 |
| 1448 | Find the side $ c $ of a trapezoid if long base $a = 3.1\, \text{mm}$. | 3 |
| 1449 | Find the short base $ b $ of a trapezoid if long base $a = 52\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 30^o$. | 3 |
| 1450 | Find the short base $ b $ of a trapezoid if long base $a = 52\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 150^o$. | 3 |
