Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 251 | Find the long base $ a $ of a trapezoid if long base $a = 24$, angle $\alpha = 90^o$ and angle $\beta = 57^o$. | 6 |
| 252 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 4$ and side $c = 3$. | 6 |
| 253 | Find the of a trapezoid if long base $a = \frac{ 1 }{ 25 }$, short base $b = \frac{ 27 }{ 1000 }$ and height $h = \frac{ 247 }{ 1000 }$. | 6 |
| 254 | Find the long base $ a $ of a trapezoid if long base $a = 15$, side $c = 7$ and angle $\alpha = 60^o$. | 6 |
| 255 | Find the short base $ b $ of a trapezoid if long base $a = 12$, side $c = 7$ and angle $\alpha = 70^o$. | 6 |
| 256 | Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 18$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 257 | Find the long base $ a $ of a trapezoid if long base $a = 9$, short base $b = \frac{ 11 }{ 2 }$ and side $c = \frac{ 47 }{ 10 }$. | 6 |
| 258 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 65 }{ 4 }$, short base $b = 19$ and height $h = \frac{ 35 }{ 2 }$. | 6 |
| 259 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = \frac{ 206799 }{ 10000 }$. | 6 |
| 260 | Find the height $ h $ of a trapezoid if long base $a = 22$, short base $b = 8$ and area $A = 135$. | 6 |
| 261 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 104^o$. | 6 |
| 262 | Find the long base $ a $ of a trapezoid if long base $a = 117$, short base $b = 116$ and side $c = 72$. | 6 |
| 263 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 37 }{ 2 }$, short base $b = \frac{ 29 }{ 2 }$, height $h = 22$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 6 |
| 264 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 90^o$. | 6 |
| 265 | Find the area $ A $ of a trapezoid if long base $a = 415$, short base $b = 75$ and side $c = 525.1505$. | 6 |
| 266 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 19 }{ 5 }$ and angle $\alpha = 60^o$. | 6 |
| 267 | Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\alpha = 60^o$. | 6 |
| 268 | Find the long base $ a $ of a trapezoid if long base $a = 50$, short base $b = 32$ and height $h = 24$. | 6 |
| 269 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 18 }{ 5 }$ and angle $\alpha = 60^o$. | 6 |
| 270 | Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = 2$ and side $c = 24$. | 6 |
| 271 | Find the long base $ a $ of a trapezoid if short base $b = 18$, side $c = 11$ and height $h = 10$. | 6 |
| 272 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 5701 }{ 100 }$, height $h = \frac{ 4873 }{ 20 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 6 |
| 273 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 75 }{ 2 }$, side $c = 36$, height $h = 36$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 4989 }{ 40 }^o$. | 6 |
| 274 | Find the short base $ b $ of a trapezoid if long base $a = 20$, height $h = 1$ and angle $\alpha = 45^o$. | 6 |
| 275 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{cm}$, side $c = 28.3\, \text{cm}$ and height $h = 20\, \text{cm}$. | 6 |
| 276 | Find the height $ h $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 14\, \text{ft}$ and side $c = 8\, \text{ft}$. | 6 |
| 277 | Find the short base $ b $ of a trapezoid if long base $a = 30\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 6 |
| 278 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, height $h = 10\, \text{ft}$, angle $\alpha = 8^o$ and angle $\beta = 8^o$. | 6 |
| 279 | Find the angle $ \alpha $ of a trapezoid if long base $a = 222\, \text{mm}$, short base $b = 188\, \text{mm}$ and height $h = 31.5\, \text{mm}$. | 6 |
| 280 | Find the side $ c $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and height $h = 38.28\, \text{mm}$. | 6 |
| 281 | Find the area $ A $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 13\, \text{mm}$. | 6 |
| 282 | Find the area $ A $ of a trapezoid if long base $a = 300\, \text{ft}$, short base $b = 210\, \text{ft}$, side $c = 190\, \text{ft}$ and diagonal $d = 350\, \text{ft}$. | 6 |
| 283 | Find the area $ A $ of a trapezoid if long base $a = 183\, \text{m}$, short base $b = 163\, \text{m}$, side $c = 93\, \text{m}$, diagonal $d = 63\, \text{m}$, height $h = 1\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 6 |
| 284 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{ft}$, side $c = 20\, \text{ft}$ and angle $\beta = 45^o$. | 6 |
| 285 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 4\, \text{in}$ and angle $\alpha = 45^o$. | 6 |
| 286 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 4\, \text{in}$ and angle $\alpha = 45^o$. | 6 |
| 287 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 4\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 45^o$. | 6 |
| 288 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 16\, \text{in}$. | 6 |
| 289 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 6 |
| 290 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, height $h = 12\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 6 |
| 291 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 60^o$. | 6 |
| 292 | Find the long base $ a $ of a trapezoid if long base $a = 3.45\, \text{ft}$, short base $b = 1.8\, \text{cm}$ and side $c = 2.8\, \text{cm}$. | 6 |
| 293 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{dm}$, short base $b = 3\, \text{cm}$, side $c = 8\, \text{cm}$ and angle $\alpha = 90^o$. | 6 |
| 294 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mi}$, short base $b = 16\, \text{cm}$ and side $c = 8\, \text{cm}$. | 6 |
| 295 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 3\, \text{ft}$ and angle $\alpha = 86^o$. | 6 |
| 296 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{mm}$, height $h = 4.6\, \text{mm}$ and angle $\alpha = 80^o$. | 6 |
| 297 | Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 298 | Find the long base $ a $ of a trapezoid if height $h = 5.5\, \text{cm}$, angle $\alpha = 68^o$ and angle $\beta = 112^o$. | 6 |
| 299 | Find the side $ c $ of a trapezoid if long base $a = 42\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 18\, \text{mm}$. | 6 |
| 300 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 46 }{ 5 }$, short base $b = \frac{ 12 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 5 |
