Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 10351 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 63 }{ 4 }$, short base $b = 14$ and height $h = \frac{ 51 }{ 2 }$. | 1 |
| 10352 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 5$ and side $c = 4$. | 1 |
| 10353 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 41 }{ 2 }$, short base $b = \frac{ 35 }{ 2 }$ and height $h = \frac{ 7 }{ 2 }$. | 1 |
| 10354 | Find the long base $ a $ of a trapezoid if long base $a = 110$, short base $b = 80$, side $c = 90$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 10355 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 38$ and side $c = 195$. | 1 |
| 10356 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 38$ and diagonal $d = 195$. | 1 |
| 10357 | Find the side $ c $ of a trapezoid if long base $a = 100$, short base $b = 50$ and height $h = 24$. | 1 |
| 10358 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 4$ and side $c = \frac{ 58 }{ 5 }$. | 1 |
| 10359 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5747 }{ 1000 }$, short base $b = \frac{ 3 }{ 2 }$ and angle $\beta = 120^o$. | 1 |
| 10360 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 5747 }{ 1000 }$, short base $b = \frac{ 3 }{ 2 }$ and angle $\beta = 120^o$. | 1 |
| 10361 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 5747 }{ 1000 }$, short base $b = \frac{ 3 }{ 2 }$ and angle $\beta = 60^o$. | 1 |
| 10362 | Find the short base $ b $ of a trapezoid if long base $a = 350$, side $c = 85$, height $h = 65$ and angle $\alpha = 45^o$. | 1 |
| 10363 | Find the short base $ b $ of a trapezoid if long base $a = 350$, side $c = 85$ and height $h = 65$. | 1 |
| 10364 | Find the side $ c $ of a trapezoid if long base $a = 36$, short base $b = 28$ and height $h = 20$. | 1 |
| 10365 | Find the short base $ b $ of a trapezoid if long base $a = 29$, side $c = 14$ and angle $\alpha = 75^o$. | 1 |
| 10366 | Find the short base $ b $ of a trapezoid if long base $a = 29$, side $c = 14$ and angle $\alpha = 15^o$. | 1 |
| 10367 | Find the short base $ b $ of a trapezoid if long base $a = 29$, height $h = 14$ and angle $\alpha = 75^o$. | 1 |
| 10368 | Find the short base $ b $ of a trapezoid if long base $a = 153$, side $c = 86$, diagonal $d = \frac{ 351 }{ 2 }$, angle $\alpha = 68^o$ and angle $\beta = 112^o$. | 1 |
| 10369 | Find the short base $ b $ of a trapezoid if long base $a = 153$, side $c = 86$ and angle $\alpha = 68^o$. | 1 |
| 10370 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1087 }{ 5 }$, side $c = 86$ and angle $\beta = 112^o$. | 1 |
| 10371 | Find the long base $ a $ of a trapezoid if long base $a = 128$, short base $b = 100$ and side $c = 308$. | 1 |
| 10372 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 95 }{ 2 }$, side $c = 24$, height $h = 24$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 10373 | Find the median $ m $ of a trapezoid if long base $a = 264$, side $c = \frac{ 139 }{ 10 }$ and height $h = 8$. | 1 |
| 10374 | Find the long base $ a $ of a trapezoid if long base $a = 264$, side $c = \frac{ 557 }{ 40 }$ and height $h = 8$. | 1 |
| 10375 | Find the short base $ b $ of a trapezoid if long base $a = 264$, side $c = \frac{ 557 }{ 40 }$ and height $h = 8$. | 1 |
| 10376 | Find the of a trapezoid if long base $a = 25$, short base $b = 19$ and height $h = 28$. | 1 |
| 10377 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 18267 }{ 10000 }$, short base $b = \frac{ 9133 }{ 10000 }$ and side $c = \frac{ 9133 }{ 10000 }$. | 1 |
| 10378 | Find the side $ c $ of a trapezoid if long base $a = 10$, short base $b = 6$ and height $h = 4$. | 1 |
| 10379 | Find the short base $ b $ of a trapezoid if long base $a = 480$, height $h = 110$ and angle $\beta = 120^o$. | 1 |
| 10380 | Find the long base $ a $ of a trapezoid if long base $a = 13$ and height $h = 9$. | 1 |
| 10381 | Find the perimeter $ P $ of a trapezoid if long base $a = 10$, short base $b = 5$ and height $h = 3$. | 1 |
| 10382 | Find the long base $ a $ of a trapezoid if long base $a = 72$, height $h = 16$ and angle $\alpha = 90^o$. | 1 |
| 10383 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 16$, median $m = 65$ and angle $\alpha = 90^o$. | 1 |
| 10384 | Find the side $ c $ of a trapezoid if long base $a = 72$, short base $b = \frac{ 297 }{ 5 }$ and height $h = 16$. | 1 |
| 10385 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 8$ and angle $\alpha = 90^o$. | 1 |
| 10386 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 10$ and angle $\alpha = 90^o$. | 1 |
| 10387 | Find the short base $ b $ of a trapezoid if long base $a = 72$, side $c = 10$ and angle $\alpha = 45^o$. | 1 |
| 10388 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 8$ and angle $\alpha = 45^o$. | 1 |
| 10389 | Find the side $ c $ of a trapezoid if long base $a = 72$, side $c = \frac{ 45 }{ 4 }$, height $h = 8$ and angle $\alpha = 45^o$. | 1 |
| 10390 | Find the short base $ b $ of a trapezoid if long base $a = 72$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 10391 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 8$ and angle $\beta = 135^o$. | 1 |
| 10392 | Find the long base $ a $ of a trapezoid if long base $a = 70$, short base $b = 10$, side $c = 30$, height $h = 30$ and area $A = 1200$. | 1 |
| 10393 | Find the of a trapezoid if long base $a = 70$, short base $b = 10$, side $c = 30$, height $h = 30$ and area $A = 1200$. | 1 |
| 10394 | Find the height $ h $ of a trapezoid if long base $a = 20$ and short base $b = 10$. | 1 |
| 10395 | Find the short base $ b $ of a trapezoid if height $h = 110$, angle $\alpha = 140^o$ and angle $\beta = 120^o$. | 1 |
| 10396 | Find the of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 1 |
| 10397 | Find the side $ c $ of a trapezoid if long base $a = 440$, height $h = 110$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 10398 | Find the short base $ b $ of a trapezoid if long base $a = 440$, height $h = 110$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 10399 | Find the area $ A $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 1 |
| 10400 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 46 }{ 5 }$, short base $b = \frac{ 12 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 1 |
