Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 10501 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 43 }{ 10 }$, short base $b = \frac{ 19 }{ 10 }$ and height $h = \frac{ 8 }{ 5 }$. | 1 |
| 10502 | Find the side $ c $ of a trapezoid if long base $a = 8000$, short base $b = 4000$ and height $h = 3020$. | 1 |
| 10503 | Find the of a trapezoid if long base $a = 12$, short base $b = 10$ and side $c = 36$. | 1 |
| 10504 | Find the long base $ a $ of a trapezoid if short base $b = 100$, side $c = \frac{ 6273 }{ 25 }$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 1 |
| 10505 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7 }{ 8 }$, height $h = \frac{ 9 }{ 8 }$ and angle $\alpha = 84^o$. | 1 |
| 10506 | Find the median $ m $ of a trapezoid if long base $a = \frac{ 7 }{ 8 }$, height $h = \frac{ 9 }{ 8 }$ and angle $\alpha = 84^o$. | 1 |
| 10507 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7 }{ 8 }$, height $h = \frac{ 9 }{ 8 }$ and angle $\alpha = 96^o$. | 1 |
| 10508 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 7 }{ 8 }$, height $h = \frac{ 9 }{ 8 }$ and angle $\alpha = 96^o$. | 1 |
| 10509 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 33 }{ 25 }$ and angle $\beta = \frac{ 195 }{ 2 }^o$. | 1 |
| 10510 | Find the long base $ a $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 33 }{ 25 }$ and angle $\beta = \frac{ 195 }{ 2 }^o$. | 1 |
| 10511 | Find the side $ c $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 33 }{ 25 }$ and angle $\beta = \frac{ 195 }{ 2 }^o$. | 1 |
| 10512 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 33 }{ 25 }$ and angle $\beta = \frac{ 195 }{ 2 }^o$. | 1 |
| 10513 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 33 }{ 25 }$, angle $\alpha = \frac{ 165 }{ 2 }^o$ and angle $\beta = \frac{ 195 }{ 2 }^o$. | 1 |
| 10514 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 379 }{ 4 }$, short base $b = \frac{ 277 }{ 4 }$ and side $c = \frac{ 401 }{ 8 }$. | 1 |
| 10515 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 379 }{ 4 }$, short base $b = \frac{ 277 }{ 4 }$, side $c = \frac{ 401 }{ 8 }$ and angle $\alpha = 74^o$. | 1 |
| 10516 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 10$, side $c = 5$ and diagonal $d = 5$. | 1 |
| 10517 | Find the area $ A $ of a trapezoid if short base $b = 10$, side $c = 72$ and median $m = 36$. | 1 |
| 10518 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 143 }{ 5 }$, side $c = \frac{ 101 }{ 5 }$ and angle $\alpha = 60^o$. | 1 |
| 10519 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 143 }{ 5 }$, side $c = \frac{ 101 }{ 5 }$, height $h = \frac{ 35709 }{ 2500 }$ and angle $\alpha = 60^o$. | 1 |
| 10520 | Find the long base $ a $ of a trapezoid if long base $a = 11$, short base $b = 7$ and height $h = \frac{ 29 }{ 5 }$. | 1 |
| 10521 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1377 }{ 100 }$, short base $b = \frac{ 287 }{ 25 }$ and height $h = 12$. | 1 |
| 10522 | Find the of a trapezoid if long base $a = \frac{ 16073 }{ 1000 }$, short base $b = \frac{ 287 }{ 25 }$ and height $h = 12$. | 1 |
| 10523 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 16073 }{ 1000 }$, short base $b = \frac{ 287 }{ 25 }$ and height $h = 12$. | 1 |
| 10524 | Find the long base $ a $ of a trapezoid if long base $a = 2$, short base $b = \frac{ 1 }{ 2 }$ and side $c = 8$. | 1 |
| 10525 | Find the long base $ a $ of a trapezoid if long base $a = 200$, short base $b = 160$ and height $h = 90$. | 1 |
| 10526 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 160$ and height $h = 90$. | 1 |
| 10527 | Find the long base $ a $ of a trapezoid if long base $a = 20$, height $h = 7$ and area $A = 91$. | 1 |
| 10528 | Find the long base $ a $ of a trapezoid if short base $b = 20$, height $h = 7$ and area $A = 91$. | 1 |
| 10529 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 160$ and side $c = \frac{ 9219 }{ 100 }$. | 1 |
| 10530 | Find the long base $ a $ of a trapezoid if long base $a = 72$, height $h = \frac{ 7 }{ 2 }$ and angle $\alpha = 75^o$. | 1 |
| 10531 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = \frac{ 7 }{ 2 }$ and angle $\alpha = 75^o$. | 1 |
| 10532 | Find the long base $ a $ of a trapezoid if long base $a = 6$, side $c = 14$ and diagonal $d = 10$. | 1 |
| 10533 | Find the long base $ a $ of a trapezoid if height $h = 3$, median $m = 3$ and area $A = 15$. | 1 |
| 10534 | Find the side $ c $ of a trapezoid if long base $a = 200$, short base $b = 180$ and area $A = 10000$. | 1 |
| 10535 | Find the long base $ a $ of a trapezoid if short base $b = 1$ and height $h = \frac{ 3 }{ 2 }$. | 1 |
| 10536 | Find the long base $ a $ of a trapezoid if short base $b = 1$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 45^o$. | 1 |
| 10537 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 1$, angle $\alpha = 135^o$ and angle $\beta = 45^o$. | 1 |
| 10538 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 1$, height $h = \frac{ 3 }{ 2 }$, angle $\alpha = 135^o$ and angle $\beta = 45^o$. | 1 |
| 10539 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 1$, height $h = 3$, angle $\alpha = 135^o$ and angle $\beta = 45^o$. | 1 |
| 10540 | Find the long base $ a $ of a trapezoid if short base $b = 6$, side $c = 10$ and angle $\beta = 30^o$. | 1 |
| 10541 | Find the long base $ a $ of a trapezoid if short base $b = 6$, side $c = 10$, angle $\alpha = 30^o$ and angle $\beta = 30^o$. | 1 |
| 10542 | Find the long base $ a $ of a trapezoid if short base $b = 4$, side $c = \frac{ 11 }{ 2 }$ and angle $\alpha = 135^o$. | 1 |
| 10543 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 9$ and height $h = \frac{ 169 }{ 8 }$. | 1 |
| 10544 | Find the of a trapezoid if long base $a = 12$, short base $b = 9$ and height $h = \frac{ 169 }{ 8 }$. | 1 |
| 10545 | Find the long base $ a $ of a trapezoid if side $c = 6$, diagonal $d = 10$, height $h = 6$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 10546 | Find the long base $ a $ of a trapezoid if long base $a = 840$, height $h = 156$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 135 }{ 2 }^o$. | 1 |
| 10547 | Find the long base $ a $ of a trapezoid if long base $a = 840$, height $h = 156$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 10548 | Find the short base $ b $ of a trapezoid if long base $a = 840$, height $h = 156$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 10549 | Find the short base $ b $ of a trapezoid if long base $a = 840$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 135 }{ 2 }^o$. | 1 |
| 10550 | Find the short base $ b $ of a trapezoid if long base $a = 840$, side $c = \frac{ 3377 }{ 20 }$ and height $h = 156$. | 1 |
