Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1301 | Find the area $ A $ of a trapezoid if long base $a = 32$, side $c = \frac{ 27 }{ 2 }$ and height $h = 11$. | 3 |
| 1302 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 36591 }{ 100 }$, short base $b = \frac{ 721 }{ 2 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1303 | Find the diagonal $ d $ of a trapezoid if long base $a = 22$, side $c = 8$ and angle $\alpha = 75^o$. | 3 |
| 1304 | Find the long base $ a $ of a trapezoid if long base $a = 600$, short base $b = 210$ and side $c = 1670$. | 3 |
| 1305 | Find the of a trapezoid if long base $a = 600$, short base $b = 210$ and side $c = 1670$. | 3 |
| 1306 | Find the long base $ a $ of a trapezoid if long base $a = 105$, short base $b = 60$ and height $h = 60$. | 3 |
| 1307 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = 2$ and height $h = \frac{ 31 }{ 10 }$. | 3 |
| 1308 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = \frac{ 19 }{ 10 }$ and side $c = \frac{ 27 }{ 10 }$. | 3 |
| 1309 | Find the of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = \frac{ 19 }{ 10 }$ and side $c = \frac{ 17 }{ 10 }$. | 3 |
| 1310 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = \frac{ 19 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1311 | Find the long base $ a $ of a trapezoid if long base $a = 1160$, short base $b = 650$ and side $c = 420$. | 3 |
| 1312 | Find the long base $ a $ of a trapezoid if long base $a = 40$, short base $b = 30$ and height $h = 40$. | 3 |
| 1313 | Find the of a trapezoid if long base $a = 4$, short base $b = 2$ and side $c = 2$. | 3 |
| 1314 | Find the height $ h $ of a trapezoid if long base $a = 143$, short base $b = 123$ and angle $\alpha = \frac{ 1789 }{ 25 }^o$. | 3 |
| 1315 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 105 }{ 2 }$, side $c = \frac{ 43 }{ 4 }$, height $h = \frac{ 43 }{ 4 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1316 | Find the side $ c $ of a trapezoid if long base $a = 1620$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 3 |
| 1317 | Find the short base $ b $ of a trapezoid if long base $a = 200$, side $c = 150$ and angle $\alpha = 90^o$. | 3 |
| 1318 | Find the side $ c $ of a trapezoid if long base $a = 8$, short base $b = 10$ and height $h = 6$. | 3 |
| 1319 | Find the diagonal $ d $ of a trapezoid if long base $a = 75$, short base $b = 58$ and height $h = 25$. | 3 |
| 1320 | Find the diagonal $ d $ of a trapezoid if long base $a = 5$, short base $b = 2$ and side $c = 2$. | 3 |
| 1321 | Find the long base $ a $ of a trapezoid if short base $b = 5$, height $h = 12$ and angle $\beta = 5^o$. | 3 |
| 1322 | Find the side $ c $ of a trapezoid if long base $a = 80$, short base $b = 72$ and height $h = 22$. | 3 |
| 1323 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 32 }{ 5 }$ and angle $\alpha = 90^o$. | 3 |
| 1324 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 32 }{ 5 }$ and angle $\alpha = 90^o$. | 3 |
| 1325 | Find the angle $ \beta $ of a trapezoid if long base $a = 18$, short base $b = 12$ and height $h = 12$. | 3 |
| 1326 | Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 5$ and diagonal $d = \sqrt{ 75 }$. | 3 |
| 1327 | Find the short base $ b $ of a trapezoid if long base $a = 10$, diagonal $d = \frac{ 3977 }{ 250 }$ and height $h = \frac{ 99 }{ 8 }$. | 3 |
| 1328 | Find the of a trapezoid if long base $a = 36$, short base $b = 24$ and side $c = 60$. | 3 |
| 1329 | Find the height $ h $ of a trapezoid if short base $b = \frac{ 33213 }{ 200 }$, area $A = \frac{ 62197 }{ 50 }$ and angle $\alpha = 120^o$. | 3 |
| 1330 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 265 }{ 4 }$, side $c = \frac{ 31 }{ 2 }$ and height $h = \frac{ 23 }{ 2 }$. | 3 |
| 1331 | Find the angle $ \beta $ of a trapezoid if long base $a = 22$, short base $b = 16$ and height $h = \frac{ 55 }{ 2 }$. | 3 |
| 1332 | Find the angle $ \beta $ of a trapezoid if long base $a = 16$, short base $b = 10$ and side $c = 8$. | 3 |
| 1333 | Find the short base $ b $ of a trapezoid if long base $a = 50$ and angle $\alpha = 74^o$. | 3 |
| 1334 | Find the long base $ a $ of a trapezoid if long base $a = 26$, height $h = 28$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 3 |
| 1335 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 147$ and side $c = 900$. | 3 |
| 1336 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 19$ and angle $\alpha = 84^o$. | 3 |
| 1337 | Find the of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, short base $b = \frac{ 3 }{ 4 }$ and height $h = \frac{ 3 }{ 2 }$. | 3 |
| 1338 | Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = \frac{ 23 }{ 5 }$ and angle $\beta = 120^o$. | 3 |
| 1339 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 75$ and height $h = 72$. | 3 |
| 1340 | Find the long base $ a $ of a trapezoid if long base $a = 8000$, short base $b = 3400$, side $c = 8000$ and diagonal $d = 8000$. | 3 |
| 1341 | Find the side $ c $ of a trapezoid if long base $a = 1000$, short base $b = 600$ and height $h = 400$. | 3 |
| 1342 | Find the side $ c $ of a trapezoid if long base $a = 40$, short base $b = 5$ and height $h = 15$. | 3 |
| 1343 | Find the area $ A $ of a trapezoid if long base $a = 476$, side $c = 276$, diagonal $d = 309$, angle $\alpha = 90^o$ and angle $\beta = 86^o$. | 3 |
| 1344 | Find the area $ A $ of a trapezoid if long base $a = 2687$, short base $b = 2353$ and height $h = 4780$. | 3 |
| 1345 | Find the area $ A $ of a trapezoid if long base $a = 3262$, short base $b = 2727$ and height $h = 2688$. | 3 |
| 1346 | Find the height $ h $ of a trapezoid if long base $a = 37$, short base $b = 29$ and side $c = 46$. | 3 |
| 1347 | Find the long base $ a $ of a trapezoid if long base $a = 17$, side $c = \frac{ 113137 }{ 20000 }$, height $h = 4$ and angle $\alpha = 45^o$. | 3 |
| 1348 | Find the short base $ b $ of a trapezoid if long base $a = 17$, height $h = 4$ and angle $\alpha = 45^o$. | 3 |
| 1349 | Find the height $ h $ of a trapezoid if long base $a = 15$, short base $b = 9$ and side $c = 4$. | 3 |
| 1350 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 2059 }{ 250 }$, short base $b = \frac{ 684 }{ 125 }$ and area $A = 20 \sqrt{ 5 }$. | 3 |
