Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 16401 | 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 |
| 16402 | 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 |
| 16403 | 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 |
| 16404 | Find the area $ A $ of a trapezoid if short base $b = 10$, side $c = 72$ and median $m = 36$. | 1 |
| 16405 | 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 |
| 16406 | 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 |
| 16407 | Find the long base $ a $ of a trapezoid if long base $a = 11$, short base $b = 7$ and height $h = \frac{ 29 }{ 5 }$. | 1 |
| 16408 | 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 |
| 16409 | Find the of a trapezoid if long base $a = \frac{ 16073 }{ 1000 }$, short base $b = \frac{ 287 }{ 25 }$ and height $h = 12$. | 1 |
| 16410 | 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 |
| 16411 | Find the long base $ a $ of a trapezoid if long base $a = 2$, short base $b = \frac{ 1 }{ 2 }$ and side $c = 8$. | 1 |
| 16412 | Find the long base $ a $ of a trapezoid if long base $a = 200$, short base $b = 160$ and height $h = 90$. | 1 |
| 16413 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 160$ and height $h = 90$. | 1 |
| 16414 | Find the long base $ a $ of a trapezoid if long base $a = 20$, height $h = 7$ and area $A = 91$. | 1 |
| 16415 | Find the long base $ a $ of a trapezoid if short base $b = 20$, height $h = 7$ and area $A = 91$. | 1 |
| 16416 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 160$ and side $c = \frac{ 9219 }{ 100 }$. | 1 |
| 16417 | Find the long base $ a $ of a trapezoid if long base $a = 72$, height $h = \frac{ 7 }{ 2 }$ and angle $\alpha = 75^o$. | 1 |
| 16418 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = \frac{ 7 }{ 2 }$ and angle $\alpha = 75^o$. | 1 |
| 16419 | Find the long base $ a $ of a trapezoid if long base $a = 6$, side $c = 14$ and diagonal $d = 10$. | 1 |
| 16420 | Find the long base $ a $ of a trapezoid if height $h = 3$, median $m = 3$ and area $A = 15$. | 1 |
| 16421 | Find the side $ c $ of a trapezoid if long base $a = 200$, short base $b = 180$ and area $A = 10000$. | 1 |
| 16422 | Find the long base $ a $ of a trapezoid if short base $b = 1$ and height $h = \frac{ 3 }{ 2 }$. | 1 |
| 16423 | Find the long base $ a $ of a trapezoid if short base $b = 1$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 45^o$. | 1 |
| 16424 | 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 |
| 16425 | 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 |
| 16426 | 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 |
| 16427 | Find the long base $ a $ of a trapezoid if short base $b = 6$, side $c = 10$ and angle $\beta = 30^o$. | 1 |
| 16428 | 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 |
| 16429 | Find the long base $ a $ of a trapezoid if short base $b = 4$, side $c = \frac{ 11 }{ 2 }$ and angle $\alpha = 135^o$. | 1 |
| 16430 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 9$ and height $h = \frac{ 169 }{ 8 }$. | 1 |
| 16431 | Find the of a trapezoid if long base $a = 12$, short base $b = 9$ and height $h = \frac{ 169 }{ 8 }$. | 1 |
| 16432 | 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 |
| 16433 | 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 |
| 16434 | Find the long base $ a $ of a trapezoid if long base $a = 840$, height $h = 156$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 16435 | Find the short base $ b $ of a trapezoid if long base $a = 840$, height $h = 156$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 16436 | 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 |
| 16437 | Find the short base $ b $ of a trapezoid if long base $a = 840$, side $c = \frac{ 3377 }{ 20 }$ and height $h = 156$. | 1 |
| 16438 | Find the long base $ a $ of a trapezoid if long base $a = 350$, side $c = 360$, median $m = 350$ and angle $\alpha = 80^o$. | 1 |
| 16439 | Find the angle $ \beta $ of a trapezoid if long base $a = 24$, short base $b = 20$ and side $c = 28$. | 1 |
| 16440 | Find the short base $ b $ of a trapezoid if long base $a = 1$, short base $b = \frac{ 1 }{ 2 }$ and height $h = 1$. | 1 |
| 16441 | Find the angle $ \beta $ of a trapezoid if long base $a = 20$, short base $b = 16$, side $c = 17$ and height $h = 8$. | 1 |
| 16442 | Find the angle $ \beta $ of a trapezoid if long base $a = 20$, short base $b = 16$ and height $h = 8$. | 1 |
| 16443 | Find the long base $ a $ of a trapezoid if long base $a = 13$ and short base $b = 9$. | 1 |
| 16444 | Find the median $ m $ of a trapezoid if long base $a = 13$ and short base $b = 9$. | 1 |
| 16445 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$ and short base $b = 6$. | 1 |
| 16446 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$, short base $b = 6$ and side $c = 6$. | 1 |
| 16447 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 236 }{ 5 }$, height $h = \frac{ 1409 }{ 40 }$ and angle $\alpha = 45^o$. | 1 |
| 16448 | Find the side $ c $ of a trapezoid if long base $a = 800$ and short base $b = 600$. | 1 |
| 16449 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 16450 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$, short base $b = 6$ and angle $\alpha = 60^o$. | 1 |
