Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 201 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$. | 7 |
| 202 | Find the of a trapezoid if long base $a = 1892$, short base $b = 1180$ and height $h = 655$. | 7 |
| 203 | Find the of a trapezoid if long base $a = 2540$, short base $b = 2330$ and height $h = 173$. | 7 |
| 204 | Find the short base $ b $ of a trapezoid if side $c = \frac{ 303 }{ 5 }$, angle $\alpha = 33^o$ and angle $\beta = 167^o$. | 7 |
| 205 | Find the long base $ a $ of a trapezoid if long base $a = 42$, short base $b = 10$, angle $\alpha = 60^o$ and angle $\beta = 106^o$. | 7 |
| 206 | Find the height $ h $ of a trapezoid if long base $a = 5$ and short base $b = 3$. | 7 |
| 207 | Find the diagonal $ d $ of a trapezoid if long base $a = 15$, side $c = 7$ and angle $\alpha = 60^o$. | 7 |
| 208 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$, side $c = 4 \sqrt{ 3 }$ and angle $\alpha = 60^o$. | 7 |
| 209 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$ and side $c = 6$. | 7 |
| 210 | Find the area $ A $ of a trapezoid if long base $a = 24$, short base $b = 14$ and side $c = 9$. | 7 |
| 211 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = 21$. | 7 |
| 212 | Find the short base $ b $ of a trapezoid if long base $a = 185$ and side $c = 67$. | 7 |
| 213 | Find the long base $ a $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = 543.2579$. | 7 |
| 214 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 61 }{ 4 }$, short base $b = 11$ and height $h = 5$. | 7 |
| 215 | Find the short base $ b $ of a trapezoid if long base $a = 10$, height $h = 6$ and area $A = 42$. | 7 |
| 216 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$. | 7 |
| 217 | Find the long base $ a $ of a trapezoid if short base $b = 18$, height $h = 10$ and angle $\beta = 45^o$. | 7 |
| 218 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 3$, side $c = 8$ and angle $\alpha = 90^o$. | 7 |
| 219 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$ and side $c = 4$. | 7 |
| 220 | Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 1$ and angle $\alpha = \frac{ 1843 }{ 50 }^o$. | 7 |
| 221 | Find the short base $ b $ of a trapezoid if long base $a = 35$, side $c = \frac{ 63 }{ 2 }$ and height $h = \frac{ 123 }{ 4 }$. | 7 |
| 222 | Find the height $ h $ of a trapezoid if long base $a = 210\, \text{mm}$, short base $b = 170\, \text{mm}$ and side $c = 50\, \text{mm}$. | 7 |
| 223 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{mm}$ and side $c = 2\, \text{mm}$. | 7 |
| 224 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$. | 7 |
| 225 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 7 |
| 226 | 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 |
| 227 | 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 |
| 228 | 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 |
| 229 | 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 |
| 230 | 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 |
| 231 | Find the long base $ a $ of a trapezoid if median $m = 11\, \text{mm}$. | 6 |
| 232 | 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 |
| 233 | 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 |
| 234 | 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 |
| 235 | 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 |
| 236 | 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 |
| 237 | 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 |
| 238 | 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 |
| 239 | 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 |
| 240 | 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 |
| 241 | 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 |
| 242 | 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 |
| 243 | 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 |
| 244 | 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 |
| 245 | 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 |
| 246 | 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 |
| 247 | 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 |
| 248 | 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 |
| 249 | 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 |
| 250 | 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 |
