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 short base $ b $ of a trapezoid if long base $a = 5$, side $c = 17$ and angle $\alpha = 90^o$. | 3 |
| 1402 | Find the height $ h $ of a trapezoid if long base $a = 30$ and side $c = 26$. | 3 |
| 1403 | Find the height $ h $ of a trapezoid if long base $a = 30$, short base $b = 14$ and side $c = 26$. | 3 |
| 1404 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 37 }{ 10 }$, short base $b = \frac{ 3 }{ 2 }$ and side $c = \frac{ 43 }{ 10 }$. | 3 |
| 1405 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 7$ and height $h = \frac{ 747 }{ 10 }$. | 3 |
| 1406 | Find the short base $ b $ of a trapezoid if long base $a = 18$, height $h = 12$ and angle $\alpha = \frac{ 85789 }{ 1000 }^o$. | 3 |
| 1407 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, side $c = \frac{ 7 }{ 8 }$, height $h = \frac{ 7 }{ 8 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1408 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 145$ and height $h = 111$. | 3 |
| 1409 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$, height $h = \frac{ 189 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1410 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$, diagonal $d = \frac{ 77 }{ 2 }$ and height $h = \frac{ 189 }{ 10 }$. | 3 |
| 1411 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\beta = 94^o$. | 3 |
| 1412 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\alpha = 86^o$. | 3 |
| 1413 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\alpha = 94^o$. | 3 |
| 1414 | Find the of a trapezoid if long base $a = 66$, short base $b = \frac{ 32997 }{ 500 }$ and height $h = 24$. | 3 |
| 1415 | Find the side $ c $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\beta = 14^o$. | 3 |
| 1416 | Find the side $ c $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\alpha = 90^o$. | 3 |
| 1417 | Find the short base $ b $ of a trapezoid if long base $a = 3$, height $h = \frac{ 3 }{ 2 }$ and angle $\alpha = 45^o$. | 3 |
| 1418 | Find the long base $ a $ of a trapezoid if long base $a = 48$, side $c = 24$ and angle $\alpha = 45^o$. | 3 |
| 1419 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$ and angle $\alpha = 45^o$. | 3 |
| 1420 | Find the long base $ a $ of a trapezoid if short base $b = 25$, side $c = 15$ and height $h = 8$. | 3 |
| 1421 | Find the long base $ a $ of a trapezoid if long base $a = 32$, short base $b = 18$ and height $h = 12$. | 3 |
| 1422 | Find the long base $ a $ of a trapezoid if height $h = 125$, median $m = 1600$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 3 |
| 1423 | Find the of a trapezoid if long base $a = 22$, short base $b = 12$ and side $c = 10$. | 3 |
| 1424 | Find the of a trapezoid if short base $b = 12$, side $c = 24$, height $h = 21$ and angle $\alpha = 60^o$. | 3 |
| 1425 | Find the angle $ \beta $ of a trapezoid if short base $b = 12$, side $c = 24$, height $h = 21$ and angle $\alpha = 60^o$. | 3 |
| 1426 | Find the long base $ a $ of a trapezoid if long base $a = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1427 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 34 }{ 25 }$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
| 1428 | Find the long base $ a $ of a trapezoid if short base $b = 11$, side $c = 30$ and angle $\alpha = 80^o$. | 3 |
| 1429 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 40$ and height $h = 80$. | 3 |
| 1430 | Find the side $ c $ of a trapezoid if long base $a = 38$, short base $b = 24$ and height $h = 13$. | 3 |
| 1431 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 12$ and area $A = 150$. | 3 |
| 1432 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 3 |
| 1433 | 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 |
| 1434 | 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 |
| 1435 | 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 |
| 1436 | 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 |
| 1437 | Find the long base $ a $ of a trapezoid if ???. | 3 |
| 1438 | 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 |
| 1439 | 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 |
| 1440 | 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 |
| 1441 | 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 |
| 1442 | 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 |
| 1443 | 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 |
| 1444 | 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 |
| 1445 | 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 |
| 1446 | 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 |
| 1447 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$ and side $c = 4\, \text{mm}$. | 3 |
| 1448 | 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 |
| 1449 | 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 |
| 1450 | 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 |
