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 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 |
| 252 | 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 |
| 253 | 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 |
| 254 | 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 |
| 255 | 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 |
| 256 | 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 |
| 257 | 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 |
| 258 | 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 |
| 259 | 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 |
| 260 | Find the side $ c $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 6 |
| 261 | Find the short base $ b $ of a trapezoid if long base $a = 2.21\, \text{m}$, side $c = 3.25\, \text{m}$ and height $h = 3.15\, \text{m}$. | 6 |
| 262 | Find the angle $ \beta $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 53.625\, \text{in}$. | 6 |
| 263 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{ft}$, side $c = 18\, \text{cm}$, median $m = 9\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 264 | Find the short base $ b $ of a trapezoid if long base $a = 42.84\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 6 |
| 265 | Find the short base $ b $ of a trapezoid if long base $a = 38.97\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 6 |
| 266 | Find the side $ c $ of a trapezoid if long base $a = 32\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 24\, \text{in}$. | 6 |
| 267 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 6.5\, \text{in}$ and angle $\alpha = 60^o$. | 6 |
| 268 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{ft}$ and side $c = 2.5\, \text{ft}$. | 6 |
| 269 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{ft}$, side $c = 10\, \text{ft}$, height $h = 9\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 270 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, height $h = 1\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 6 |
| 271 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, side $c = 3\, \text{cm}$ and height $h = 2\, \text{cm}$. | 6 |
| 272 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{mm}$ and median $m = 19\, \text{cm}$. | 6 |
| 273 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{cm}$ and side $c = 3\, \text{cm}$. | 6 |
| 274 | Find the long base $ a $ of a trapezoid if long base $a = 25.5\, \text{mi}$, short base $b = 22\, \text{cm}$ and side $c = 22\, \text{cm}$. | 6 |
| 275 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 5.5\, \text{in}$ and height $h = 48\, \text{in}$. | 6 |
| 276 | Find the long base $ a $ of a trapezoid if short base $b = 38\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 45^o$. | 6 |
| 277 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 45^o$. | 6 |
| 278 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 5\, \text{mm}$. | 6 |
| 279 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 12.5\, \text{in}$. | 6 |
| 280 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 4\, \text{mm}$. | 6 |
| 281 | Find the area $ A $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 2.75\, \text{mm}$. | 6 |
| 282 | Find the area $ A $ of a trapezoid if long base $a = 39.04\, \text{in}$, height $h = 24.04\, \text{in}$ and angle $\alpha = 60^o$. | 6 |
| 283 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 4\, \text{mm}$ and area $A = 28\, \text{mm}^2$. | 6 |
| 284 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{mm}$, height $h = 16\, \text{mm}$ and area $A = 144\, \text{mm}^2$. | 6 |
| 285 | Find the long base $ a $ of a trapezoid if long base $a = 36.5\, \text{ft}$, short base $b = 8.5\, \text{ft}$ and height $h = 13.5\, \text{ft}$. | 6 |
| 286 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{in}$, side $c = 29\, \text{mm}$ and height $h = 54\, \text{mm}$. | 6 |
| 287 | Find the long base $ a $ of a trapezoid if short base $b = 23\, \text{ft}$, height $h = 15\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 288 | Find the diagonal $ d $ of a trapezoid if long base $a = 20.5\, \text{ft}$, short base $b = 4\, \text{ft}$ and side $c = 14\, \text{ft}$. | 6 |
| 289 | Find the long base $ a $ of a trapezoid if long base $a = 39\, \text{mm}$, short base $b = 30\, \text{mm}$ and height $h = 909\, \text{mm}$. | 6 |
| 290 | Find the side $ c $ of a trapezoid if long base $a = 450\, \text{mm}$, side $c = 300\, \text{mm}$ and height $h = 300\, \text{mm}$. | 6 |
| 291 | Find the short base $ b $ of a trapezoid if long base $a = 14\, \text{mm}$, height $h = 2.2\, \text{mm}$ and angle $\alpha = 60^o$. | 6 |
| 292 | Find the long base $ a $ of a trapezoid if median $m = 11\, \text{mm}$. | 6 |
| 293 | Find the height $ h $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$. | 6 |
| 294 | Find the long base $ a $ of a trapezoid if side $c = 6\, \text{mm}$, area $A = 30\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 295 | Find the height $ h $ of a trapezoid if long base $a = 211.98\, \text{mm}$, short base $b = 200.68\, \text{mm}$ and side $c = 30\, \text{mm}$. | 6 |
| 296 | Find the long base $ a $ of a trapezoid if long base $a = 2300\, \text{mm}$, short base $b = 1233\, \text{mm}$, side $c = 1333\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 6 |
| 297 | Find the long base $ a $ of a trapezoid if long base $a = 2160\, \text{mm}$, side $c = 1000\, \text{mm}$ and angle $\alpha = 90^o$. | 6 |
| 298 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, side $c = 8\, \text{mm}$ and height $h = 6\, \text{mm}$. | 6 |
| 299 | Find the long base $ a $ of a trapezoid if long base $a = 665$, side $c = 966$ and angle $\alpha = 90^o$. | 6 |
| 300 | Find the side $ c $ of a trapezoid if long base $a = 20$ and short base $b = 16$. | 6 |
