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 long base $ a $ of a trapezoid if height $h = 4$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8502 | Find the short base $ b $ of a trapezoid if height $h = 4$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8503 | Find the side $ c $ of a trapezoid if height $h = 4$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8504 | Find the long base $ a $ of a trapezoid if side $c = 4 \sqrt{ 2 }$, height $h = 4$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8505 | Find the long base $ a $ of a trapezoid if long base $a = 34$, short base $b = 13$ and side $c = 27$. | 1 |
| 8506 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = 45^o$. | 1 |
| 8507 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5 }{ 4 }$, short base $b = 1$ and side $c = \frac{ 65 }{ 4 }$. | 1 |
| 8508 | Find the of a trapezoid if long base $a = \frac{ 5 }{ 4 }$, short base $b = 1$ and side $c = \frac{ 65 }{ 4 }$. | 1 |
| 8509 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 5 }{ 4 }$, short base $b = 1$ and side $c = \frac{ 65 }{ 4 }$. | 1 |
| 8510 | Find the long base $ a $ of a trapezoid if long base $a = 115$, short base $b = 70$ and side $c = 165$. | 1 |
| 8511 | Find the height $ h $ of a trapezoid if long base $a = 115$, short base $b = 70$ and side $c = 165$. | 1 |
| 8512 | Find the angle $ \beta $ of a trapezoid if long base $a = 115$, short base $b = 70$ and side $c = 165$. | 1 |
| 8513 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = \frac{ 47 }{ 10 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8514 | Find the short base $ b $ of a trapezoid if long base $a = 4$ and side $c = 8$. | 1 |
| 8515 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 8$ and angle $\alpha = 30^o$. | 1 |
| 8516 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 8$ and height $h = 8$. | 1 |
| 8517 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = \frac{ 35 }{ 4 }$ and height $h = 8$. | 1 |
| 8518 | Find the long base $ a $ of a trapezoid if short base $b = 1280$, height $h = 980$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 8519 | Find the long base $ a $ of a trapezoid if long base $a = 40$, short base $b = 24$ and height $h = 25$. | 1 |
| 8520 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 6$ and side $c = 8$. | 1 |
| 8521 | Find the of a trapezoid if long base $a = 2010$, short base $b = 2000$ and side $c = 845$. | 1 |
| 8522 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 381 }{ 25 }$, short base $b = \frac{ 67 }{ 10 }$ and side $c = \frac{ 4267 }{ 100 }$. | 1 |
| 8523 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 381 }{ 25 }$, short base $b = \frac{ 67 }{ 10 }$ and side $c = \frac{ 4267 }{ 100 }$. | 1 |
| 8524 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 25 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8525 | Find the median $ m $ of a trapezoid if long base $a = \frac{ 25 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8526 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 25 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8527 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 10 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8528 | Find the long base $ a $ of a trapezoid if long base $a = 9$, short base $b = 8$, angle $\alpha = 90^o$ and angle $\beta = 30^o$. | 1 |
| 8529 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 103 }{ 250 }$, short base $b = \frac{ 397 }{ 1000 }$ and angle $\alpha = 50^o$. | 1 |
| 8530 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 103 }{ 250 }$, short base $b = \frac{ 397 }{ 1000 }$ and angle $\beta = 130^o$. | 1 |
| 8531 | Find the of a trapezoid if long base $a = 4280$, short base $b = 1320$, side $c = 2000$ and diagonal $d = 3100$. | 1 |
| 8532 | Find the of a trapezoid if long base $a = 4280$, short base $b = 1320$ and side $c = 2000$. | 1 |
| 8533 | Find the height $ h $ of a trapezoid if long base $a = 1270$, short base $b = 1054$ and side $c = 805$. | 1 |
| 8534 | Find the long base $ a $ of a trapezoid if long base $a = 2579$, short base $b = 996$ and height $h = 844$. | 1 |
| 8535 | Find the short base $ b $ of a trapezoid if long base $a = 3$ and height $h = \frac{ 5 }{ 2 }$. | 1 |
| 8536 | Find the long base $ a $ of a trapezoid if long base $a = 63$, angle $\alpha = 72^o$ and angle $\beta = 108^o$. | 1 |
| 8537 | Find the short base $ b $ of a trapezoid if long base $a = 63$, angle $\alpha = 72^o$ and angle $\beta = 108^o$. | 1 |
| 8538 | Find the short base $ b $ of a trapezoid if long base $a = 63$, height $h = 30$, angle $\alpha = 72^o$ and angle $\beta = 108^o$. | 1 |
| 8539 | Find the short base $ b $ of a trapezoid if long base $a = 63$, height $h = 30$ and angle $\alpha = 72^o$. | 1 |
| 8540 | Find the of a trapezoid if long base $a = \frac{ 8 }{ 25 }$, short base $b = \frac{ 51 }{ 200 }$ and height $h = \frac{ 61 }{ 500 }$. | 1 |
| 8541 | Find the short base $ b $ of a trapezoid if long base $a = 63$, height $h = 30$ and angle $\alpha = 75^o$. | 1 |
| 8542 | Find the perimeter $ P $ of a trapezoid if long base $a = 20$, short base $b = 15$, angle $\alpha = \frac{ 398 }{ 5 }^o$ and angle $\beta = \frac{ 4047 }{ 50 }^o$. | 1 |
| 8543 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 10$ and height $h = 6$. | 1 |
| 8544 | Find the perimeter $ P $ of a trapezoid if long base $a = \frac{ 36 }{ 5 }$, side $c = \frac{ 27 }{ 5 }$ and angle $\alpha = 90^o$. | 1 |
| 8545 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 37 }{ 100 }$, height $h = \frac{ 11 }{ 100 }$, angle $\alpha = 41^o$ and angle $\beta = 139^o$. | 1 |
| 8546 | Find the side $ c $ of a trapezoid if long base $a = 6$, short base $b = 3$ and diagonal $d = 55$. | 1 |
| 8547 | Find the area $ A $ of a trapezoid if long base $a = 25$ and height $h = 16$. | 1 |
| 8548 | Find the long base $ a $ of a trapezoid if diagonal $d = 8 \sqrt{ 2 }$ and angle $\beta = 45^o$. | 1 |
| 8549 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 12$ and angle $\alpha = 45^o$. | 1 |
| 8550 | Find the long base $ a $ of a trapezoid if long base $a = 58$ and height $h = \frac{ 59 }{ 2 }$. | 1 |