Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4251 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and angle $\alpha = 78^o$. | 2 |
| 4252 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 6\, \text{mm}$, diagonal $d = 7\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 4253 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$ and side $c = 30\, \text{mm}$. | 2 |
| 4254 | Find the long base $ a $ of a trapezoid if long base $a = 2150\, \text{mm}$, side $c = 1500\, \text{mm}$, height $h = 1500\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 4255 | Find the long base $ a $ of a trapezoid if long base $a = 600\, \text{mm}$, short base $b = 400\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 4256 | Find the area $ A $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 2\, \text{mm}$ and side $c = 6.32\, \text{mm}$. | 2 |
| 4257 | Find the area $ A $ of a trapezoid if long base $a = 33.7\, \text{m}$, short base $b = 26.6\, \text{m}$ and side $c = 18.5\, \text{m}$. | 2 |
| 4258 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 4\, \text{in}$. | 2 |
| 4259 | Find the side $ c $ of a trapezoid if short base $b = 21\, \text{in}$, area $A = 112.5\, \text{in}^2$, angle $\alpha = 35^o$ and angle $\beta = 145^o$. | 2 |
| 4260 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 33\, \text{in}$. | 2 |
| 4261 | Find the long base $ a $ of a trapezoid if long base $a = 42.5\, \text{in}$, side $c = 7\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 4262 | Find the long base $ a $ of a trapezoid if long base $a = 42.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 4263 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4264 | Find the side $ c $ of a trapezoid if short base $b = 1200\, \text{mm}$, height $h = 1040\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4265 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{cm}$, side $c = 12\, \text{cm}$ and angle $\alpha = 45^o$. | 2 |
| 4266 | Find the long base $ a $ of a trapezoid if side $c = 4.375\, \text{in}$, angle $\alpha = 23^o$ and angle $\beta = 157^o$. | 2 |
| 4267 | Find the diagonal $ d $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1875\, \text{mm}$ and side $c = 2500\, \text{mm}$. | 2 |
| 4268 | Find the side $ c $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1000\, \text{mm}$, height $h = 20000\, \text{mm}$ and median $m = 1500\, \text{mm}$. | 2 |
| 4269 | Find the side $ c $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1000\, \text{mm}$, height $h = 20000\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 4270 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1000\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 4271 | Find the long base $ a $ of a trapezoid if long base $a = 15.83\, \text{ft}$ and side $c = 8.25\, \text{ft}$. | 2 |
| 4272 | Find the side $ c $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 3.85\, \text{in}$ and angle $\alpha = 72^o$. | 2 |
| 4273 | Find the height $ h $ of a trapezoid if long base $a = 4.5\, \text{in}$, side $c = 1.05\, \text{in}$ and angle $\alpha = 72^o$. | 2 |
| 4274 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 3.85\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 4275 | Find the height $ h $ of a trapezoid if long base $a = 4.5\, \text{mm}$, short base $b = 3.85\, \text{mm}$ and angle $\alpha = 72^o$. | 2 |
| 4276 | Find the short base $ b $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1.1811\, \text{in}$ and angle $\alpha = 72^o$. | 2 |
| 4277 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 3.7625\, \text{in}$ and side $c = 1.2\, \text{in}$. | 2 |
| 4278 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 4279 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 4280 | Find the height $ h $ of a trapezoid if long base $a = 14.5\, \text{mm}$, short base $b = 8.125\, \text{mm}$ and side $c = 8.9375\, \text{mm}$. | 2 |
| 4281 | Find the long base $ a $ of a trapezoid if short base $b = 12.5\, \text{in}$, height $h = 8\, \text{in}$ and angle $\alpha = 35^o$. | 2 |
| 4282 | Find the short base $ b $ of a trapezoid if long base $a = 3.012\, \text{mm}$, angle $\alpha = 52.9^o$ and angle $\beta = 127^o$. | 2 |
| 4283 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
| 4284 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{mm}$ and angle $\alpha = 35^o$. | 2 |
| 4285 | Find the long base $ a $ of a trapezoid if long base $a = 4.634\, \text{mm}$, height $h = 12.3\, \text{mm}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 4286 | Find the short base $ b $ of a trapezoid if long base $a = 2.354\, \text{mm}$, height $h = 12.3\, \text{mm}$ and angle $\alpha = 68.5^o$. | 2 |
| 4287 | Find the long base $ a $ of a trapezoid if short base $b = 25\, \text{cm}$, height $h = 233\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 4288 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 28\, \text{in}$. | 2 |
| 4289 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, median $m = 100\, \text{mm}$, angle $\alpha = 158^o$ and angle $\beta = 22^o$. | 2 |
| 4290 | Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{cm}$, short base $b = 100\, \text{cm}$ and height $h = 100\, \text{cm}$. | 2 |
| 4291 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 15\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 4292 | Find the area $ A $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 15\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 4293 | Find the long base $ a $ of a trapezoid if long base $a = 187\, \text{mm}$, side $c = 31\, \text{mm}$ and angle $\alpha = 52^o$. | 2 |
| 4294 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, short base $b = 78\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 22^o$. | 2 |
| 4295 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, short base $b = 78\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 157^o$. | 2 |
| 4296 | Find the diagonal $ d $ of a trapezoid if long base $a = 161\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 22^o$. | 2 |
| 4297 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 90\, \text{mm}$ and height $h = 100\, \text{mm}$. | 2 |
| 4298 | Find the long base $ a $ of a trapezoid if short base $b = 37\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4299 | Find the long base $ a $ of a trapezoid if short base $b = 77\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4300 | Find the long base $ a $ of a trapezoid if short base $b = 117\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
