Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 13351 | Find the short base $ b $ of a trapezoid if long base $a = 5$ and median $m = 4$. | 1 |
| 13352 | Find the median $ m $ of a trapezoid if long base $a = 38$ and short base $b = 22$. | 1 |
| 13353 | Find the long base $ a $ of a trapezoid if short base $b = 14$ and median $m = 20$. | 1 |
| 13354 | Find the short base $ b $ of a trapezoid if long base $a = 64$ and median $m = 49$. | 1 |
| 13355 | Find the long base $ a $ of a trapezoid if short base $b = 13$ and median $m = 22$. | 1 |
| 13356 | Find the of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = 2$ and height $h = \frac{ 19 }{ 5 }$. | 1 |
| 13357 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = 2$ and height $h = \frac{ 19 }{ 5 }$. | 1 |
| 13358 | Find the long base $ a $ of a trapezoid if long base $a = 52$, short base $b = 39$ and height $h = \frac{ 231 }{ 50 }$. | 1 |
| 13359 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 17 }{ 25 }$, short base $b = \frac{ 3 }{ 5 }$, side $c = \frac{ 17 }{ 100 }$ and angle $\alpha = 47^o$. | 1 |
| 13360 | Find the long base $ a $ of a trapezoid if long base $a = 7$, short base $b = 1$ and side $c = 4$. | 1 |
| 13361 | Find the area $ A $ of a trapezoid if long base $a = 10$, short base $b = 7$ and side $c = 4$. | 1 |
| 13362 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1647 }{ 5000 }$, height $h = \frac{ 617 }{ 2000 }$ and angle $\beta = 71^o$. | 1 |
| 13363 | Find the of a trapezoid if long base $a = 3$, short base $b = \frac{ 133 }{ 50 }$ and side $c = \frac{ 3 }{ 4 }$. | 1 |
| 13364 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 24$, height $h = 24$ and angle $\alpha = 30^o$. | 1 |
| 13365 | Find the angle $ \beta $ of a trapezoid if long base $a = 30$, short base $b = 24$ and height $h = 24$. | 1 |
| 13366 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 48571 }{ 10000 }$, short base $b = \frac{ 18541 }{ 10000 }$, side $c = \frac{ 4719 }{ 1250 }$ and diagonal $d = \frac{ 4719 }{ 1250 }$. | 1 |
| 13367 | Find the long base $ a $ of a trapezoid if short base $b = 19$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 13368 | Find the long base $ a $ of a trapezoid if short base $b = 19$, side $c = 5$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 13369 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 14$ and angle $\alpha = 90^o$. | 1 |
| 13370 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 19 }{ 4 }$ and short base $b = \frac{ 7 }{ 2 }$. | 1 |
| 13371 | Find the height $ h $ of a trapezoid if long base $a = 54$, short base $b = 48$ and height $h = 48$. | 1 |
| 13372 | Find the side $ c $ of a trapezoid if long base $a = 54$, short base $b = 48$ and height $h = 48$. | 1 |
| 13373 | Find the of a trapezoid if long base $a = \frac{ 172 }{ 25 }$, short base $b = \frac{ 28 }{ 5 }$ and side $c = \frac{ 35 }{ 4 }$. | 1 |
| 13374 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 203 }{ 8 }$, short base $b = 18$, side $c = 40$ and height $h = 40$. | 1 |
| 13375 | Find the long base $ a $ of a trapezoid if long base $a = 52$, short base $b = 12$ and height $h = \frac{ 45 }{ 2 }$. | 1 |
| 13376 | Find the area $ A $ of a trapezoid if side $c = 9$, diagonal $d = 15$ and height $h = \frac{ 15 }{ 2 }$. | 1 |
| 13377 | Find the area $ A $ of a trapezoid if long base $a = 32$, short base $b = 22$ and median $m = 27$. | 1 |
| 13378 | Find the short base $ b $ of a trapezoid if long base $a = 35$, height $h = \frac{ 3429 }{ 10 }$ and angle $\alpha = 90^o$. | 1 |
| 13379 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 648353 }{ 10000 }$, height $h = \frac{ 4873 }{ 20 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 1 |
| 13380 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 10$ and side $c = 5$. | 1 |
| 13381 | Find the area $ A $ of a trapezoid if long base $a = 15$, short base $b = 10$, side $c = 5$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 13382 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 37 }{ 2 }$, short base $b = \frac{ 29 }{ 2 }$, side $c = \frac{ 57 }{ 2 }$, height $h = \frac{ 55 }{ 2 }$, angle $\alpha = 75^o$ and angle $\beta = 95^o$. | 1 |
| 13383 | Find the diagonal $ d $ of a trapezoid if long base $a = 4$, side $c = 4$ and height $h = 4$. | 1 |
| 13384 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 93 }{ 20 }$, short base $b = \frac{ 93 }{ 25 }$ and side $c = \frac{ 41 }{ 4 }$. | 1 |
| 13385 | Find the of a trapezoid if long base $a = \frac{ 93 }{ 20 }$, short base $b = \frac{ 93 }{ 25 }$ and side $c = \frac{ 41 }{ 4 }$. | 1 |
| 13386 | Find the area $ A $ of a trapezoid if long base $a = 183$, short base $b = 164$ and side $c = \frac{ 157 }{ 2 }$. | 1 |
| 13387 | Find the long base $ a $ of a trapezoid if long base $a = 38$ and short base $b = 12$. | 1 |
| 13388 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 12 }{ 5 }$, side $c = 6$ and height $h = \frac{ 23 }{ 5 }$. | 1 |
| 13389 | Find the area $ A $ of a trapezoid if short base $b = \frac{ 12 }{ 5 }$, side $c = 6$ and height $h = \frac{ 23 }{ 5 }$. | 1 |
| 13390 | Find the area $ A $ of a trapezoid if long base $a = 8$, side $c = 6$ and height $h = \frac{ 23 }{ 5 }$. | 1 |
| 13391 | Find the long base $ a $ of a trapezoid if short base $b = 14$, height $h = 11$ and area $A = 209$. | 1 |
| 13392 | Find the long base $ a $ of a trapezoid if long base $a = 31$, short base $b = 29$ and area $A = 135$. | 1 |
| 13393 | Find the long base $ a $ of a trapezoid if short base $b = 13$, height $h = 5$ and area $A = 10$. | 1 |
| 13394 | Find the long base $ a $ of a trapezoid if long base $a = 13$, height $h = 5$ and area $A = 10$. | 1 |
| 13395 | Find the long base $ a $ of a trapezoid if long base $a = 13$, side $c = 5$ and area $A = 10$. | 1 |
| 13396 | Find the area $ A $ of a trapezoid if long base $a = 13$, side $c = 5$ and area $A = 10$. | 1 |
| 13397 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = 6$ and area $A = 60$. | 1 |
| 13398 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = 6$ and area $A = 60$. | 1 |
| 13399 | Find the long base $ a $ of a trapezoid if long base $a = 32$, side $c = 18$ and angle $\alpha = 45^o$. | 1 |
| 13400 | Find the short base $ b $ of a trapezoid if long base $a = 32$, side $c = 18$ and angle $\alpha = 45^o$. | 1 |
