Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7501 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 3599 }{ 3 }$, short base $b = \frac{ 1 }{ 3 }$, height $h = \frac{ 1 }{ 2 }$ and area $A = 300$. | 1 |
| 7502 | Find the long base $ a $ of a trapezoid if short base $b = 28$, side $c = 28$ and angle $\beta = 120^o$. | 1 |
| 7503 | Find the median $ m $ of a trapezoid if short base $b = \frac{ 1 }{ 3 }$, height $h = \frac{ 1 }{ 2 }$ and area $A = 300$. | 1 |
| 7504 | Find the long base $ a $ of a trapezoid if long base $a = 216$ and angle $\alpha = \frac{ 185 }{ 2 }^o$. | 1 |
| 7505 | Find the short base $ b $ of a trapezoid if long base $a = 216$ and angle $\alpha = \frac{ 185 }{ 2 }^o$. | 1 |
| 7506 | Find the short base $ b $ of a trapezoid if long base $a = 216$, side $c = 225$ and angle $\alpha = \frac{ 185 }{ 2 }^o$. | 1 |
| 7507 | Find the long base $ a $ of a trapezoid if short base $b = 48$ and side $c = 94$. | 1 |
| 7508 | Find the side $ c $ of a trapezoid if long base $a = 23$, short base $b = \frac{ 79 }{ 4 }$ and height $h = 26$. | 1 |
| 7509 | Find the long base $ a $ of a trapezoid if side $c = 37$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7510 | Find the diagonal $ d $ of a trapezoid if long base $a = 680$, short base $b = 680$ and side $c = 20$. | 1 |
| 7511 | Find the diagonal $ d $ of a trapezoid if long base $a = 680$, short base $b = 640$ and side $c = 20$. | 1 |
| 7512 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 4$ and side $c = \frac{ 7 }{ 2 }$. | 1 |
| 7513 | Find the area $ A $ of a trapezoid if short base $b = 18$ and angle $\alpha = 45^o$. | 1 |
| 7514 | Find the area $ A $ of a trapezoid if short base $b = 4$, height $h = 5$ and area $A = 135$. | 1 |
| 7515 | Find the long base $ a $ of a trapezoid if angle $\alpha = 120^o$. | 1 |
| 7516 | Find the height $ h $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 5 }{ 2 }$ and angle $\beta = 120^o$. | 1 |
| 7517 | Find the long base $ a $ of a trapezoid if long base $a = 9$, side $c = 4$ and angle $\alpha = 60^o$. | 1 |
| 7518 | Find the area $ A $ of a trapezoid if long base $a = 9$, side $c = 4$ and angle $\alpha = 60^o$. | 1 |
| 7519 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 27 }{ 4 }$, short base $b = \frac{ 49 }{ 8 }$ and height $h = 4$. | 1 |
| 7520 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = 6$ and area $A = 64$. | 1 |
| 7521 | Find the short base $ b $ of a trapezoid if long base $a = 10$, height $h = 4$ and area $A = 32$. | 1 |
| 7522 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1283 }{ 32 }$, height $h = 4$ and angle $\alpha = \frac{ 137 }{ 2 }^o$. | 1 |
| 7523 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1283 }{ 32 }$, height $h = \frac{ 15 }{ 4 }$ and angle $\alpha = \frac{ 137 }{ 2 }^o$. | 1 |
| 7524 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 641 }{ 16 }$, height $h = \frac{ 15 }{ 4 }$ and angle $\alpha = \frac{ 137 }{ 2 }^o$. | 1 |
| 7525 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 641 }{ 16 }$, height $h = \frac{ 29 }{ 8 }$ and angle $\alpha = \frac{ 137 }{ 2 }^o$. | 1 |
| 7526 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 4$ and height $h = 7$. | 1 |
| 7527 | Find the angle $ \beta $ of a trapezoid if long base $a = 12$, short base $b = 4$ and height $h = 7$. | 1 |
| 7528 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 99 }{ 400 }$, area $A = 0.0369$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 7529 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 99 }{ 400 }$, area $A = 0.0369$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 7530 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 99 }{ 400 }$, side $c = 1$, area $A = 0.0369$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 7531 | Find the height $ h $ of a trapezoid if long base $a = 2475$, area $A = 36852395$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 7532 | Find the side $ c $ of a trapezoid if long base $a = 2$, short base $b = 1$ and diagonal $d = 4$. | 1 |
| 7533 | Find the long base $ a $ of a trapezoid if long base $a = 4$, short base $b = 2$, side $c = 2$, diagonal $d = 2$, perimeter $P = 10$ and angle $\alpha = 60^o$. | 1 |
| 7534 | Find the height $ h $ of a trapezoid if long base $a = 4$, short base $b = 2$, side $c = 2$, diagonal $d = 2$, perimeter $P = 10$ and angle $\alpha = 60^o$. | 1 |
| 7535 | Find the height $ h $ of a trapezoid if long base $a = 4$, short base $b = 2$, side $c = 2$, diagonal $d = 2$ and angle $\alpha = 60^o$. | 1 |
| 7536 | Find the area $ A $ of a trapezoid if long base $a = 4$, short base $b = 2$, side $c = 2$, height $h = 3$ and perimeter $P = 10$. | 1 |
| 7537 | Find the long base $ a $ of a trapezoid if long base $a = 48$, short base $b = 36$, side $c = 12$ and height $h = 20$. | 1 |
| 7538 | Find the long base $ a $ of a trapezoid if long base $a = 26$, short base $b = 14$ and height $h = 8$. | 1 |
| 7539 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, height $h = \frac{ 101 }{ 10 }$ and area $A = \frac{ 2121 }{ 40 }$. | 1 |
| 7540 | Find the area $ A $ of a trapezoid if long base $a = 26$, short base $b = 14$ and height $h = 8$. | 1 |
| 7541 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 33 }{ 2 }$, short base $b = 2$ and height $h = \frac{ 33 }{ 5 }$. | 1 |
| 7542 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 9$ and diagonal $d = 8$. | 1 |
| 7543 | Find the long base $ a $ of a trapezoid if short base $b = 3$, height $h = \frac{ 71 }{ 100 }$ and angle $\alpha = 45^o$. | 1 |
| 7544 | Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = 10$ and height $h = 12$. | 1 |
| 7545 | Find the area $ A $ of a trapezoid if long base $a = 6$, short base $b = 2$ and height $h = 4$. | 1 |
| 7546 | Find the long base $ a $ of a trapezoid if long base $a = 56$, short base $b = \frac{ 217 }{ 4 }$ and height $h = \frac{ 15 }{ 2 }$. | 1 |
| 7547 | Find the side $ c $ of a trapezoid if short base $b = 1866$ and area $A = 871200$. | 1 |
| 7548 | Find the side $ c $ of a trapezoid if short base $b = 1866$, area $A = 871200$ and angle $\beta = 135^o$. | 1 |
| 7549 | Find the side $ c $ of a trapezoid if short base $b = 1866$, area $A = 871200$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 7550 | Find the side $ c $ of a trapezoid if short base $b = 1866$, area $A = 871200$ and angle $\alpha = 45^o$. | 1 |
