Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 13251 | Find the side $ c $ of a trapezoid if long base $a = 4095$, short base $b = 1695$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 13252 | Find the side $ c $ of a trapezoid if long base $a = 4095$, short base $b = 1695$ and angle $\alpha = 45^o$. | 1 |
| 13253 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 31 }{ 2 }$, height $h = 3$ and angle $\alpha = 30^o$. | 1 |
| 13254 | Find the long base $ a $ of a trapezoid if long base $a = 3$, side $c = 14$, height $h = 14$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 1 |
| 13255 | Find the short base $ b $ of a trapezoid if long base $a = 23$, median $m = 20$ and angle $\alpha = 73^o$. | 1 |
| 13256 | Find the side $ c $ of a trapezoid if long base $a = 1000$, short base $b = 250$ and height $h = 2000$. | 1 |
| 13257 | Find the of a trapezoid if long base $a = 68$, short base $b = 56$ and height $h = 24$. | 1 |
| 13258 | Find the long base $ a $ of a trapezoid if short base $b = 6$, height $h = 8$ and area $A = 40$. | 1 |
| 13259 | Find the short base $ b $ of a trapezoid if long base $a = 68$, height $h = 24$ and angle $\alpha = 75^o$. | 1 |
| 13260 | Find the height $ h $ of a trapezoid if long base $a = 16$, short base $b = 14$ and area $A = 180$. | 1 |
| 13261 | Find the area $ A $ of a trapezoid if long base $a = 14$, short base $b = 10$ and height $h = 6$. | 1 |
| 13262 | Find the area $ A $ of a trapezoid if long base $a = 6$, short base $b = 2$ and height $h = 3$. | 1 |
| 13263 | Find the area $ A $ of a trapezoid if long base $a = 16$, short base $b = 12$ and height $h = 7$. | 1 |
| 13264 | Find the long base $ a $ of a trapezoid if short base $b = 5$, side $c = 4 \sqrt{ 2 }$ and angle $\alpha = 45^o$. | 1 |
| 13265 | Find the area $ A $ of a trapezoid if long base $a = 19$, short base $b = 6$, side $c = 13$ and height $h = 8$. | 1 |
| 13266 | Find the median $ m $ of a trapezoid if long base $a = \frac{ 17 }{ 2 }$, short base $b = 5$ and height $h = 60$. | 1 |
| 13267 | Find the height $ h $ of a trapezoid if long base $a = 8$, short base $b = 3$ and side $c = \frac{ 13 }{ 2 }$. | 1 |
| 13268 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 75 }{ 4 }$, short base $b = \frac{ 33 }{ 2 }$ and height $h = \frac{ 35 }{ 2 }$. | 1 |
| 13269 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 475 }{ 4 }$, short base $b = \frac{ 33 }{ 2 }$ and height $h = \frac{ 35 }{ 2 }$. | 1 |
| 13270 | Find the area $ A $ of a trapezoid if short base $b = 8$, height $h = 7$ and angle $\alpha = 45^o$. | 1 |
| 13271 | Find the side $ c $ of a trapezoid if long base $a = 63$, short base $b = 49$ and perimeter $P = 119$. | 1 |
| 13272 | Find the side $ c $ of a trapezoid if long base $a = 63$, short base $b = 49$ and perimeter $P = 191$. | 1 |
| 13273 | Find the side $ c $ of a trapezoid if short base $b = 48$, height $h = \frac{ 1 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 13274 | Find the of a trapezoid if short base $b = 48$, height $h = \frac{ 1 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 13275 | Find the height $ h $ of a trapezoid if short base $b = 48$, height $h = \frac{ 1 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 13276 | Find the long base $ a $ of a trapezoid if short base $b = 48$, height $h = \frac{ 1 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 13277 | Find the long base $ a $ of a trapezoid if long base $a = 144$, short base $b = 108$ and side $c = 48$. | 1 |
| 13278 | Find the angle $ \beta $ of a trapezoid if long base $a = 144$, short base $b = 108$ and side $c = 48$. | 1 |
| 13279 | Find the of a trapezoid if long base $a = 144$, short base $b = 108$ and side $c = 48$. | 1 |
| 13280 | Find the of a trapezoid if long base $a = 84$, short base $b = 74$ and side $c = \frac{ 65 }{ 2 }$. | 1 |
| 13281 | Find the angle $ \beta $ of a trapezoid if long base $a = 84$, short base $b = 74$ and side $c = \frac{ 65 }{ 2 }$. | 1 |
| 13282 | Find the side $ c $ of a trapezoid if long base $a = 84$, short base $b = 74$, angle $\alpha = 68^o$ and angle $\beta = 112^o$. | 1 |
| 13283 | Find the side $ c $ of a trapezoid if long base $a = 84$, side $c = 32$ and angle $\alpha = 68^o$. | 1 |
| 13284 | Find the short base $ b $ of a trapezoid if long base $a = 84$, side $c = 32$ and angle $\alpha = 68^o$. | 1 |
| 13285 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = \frac{ 43 }{ 8 }$, side $c = \frac{ 5 }{ 2 }$, diagonal $d = \frac{ 13 }{ 2 }$, height $h = \frac{ 3 }{ 2 }$, area $A = \frac{ 339 }{ 32 }$ and perimeter $P = \frac{ 135 }{ 8 }$. | 1 |
| 13286 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 23 }{ 2 }$, side $c = \frac{ 97 }{ 4 }$, height $h = 24$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 1 |
| 13287 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 7$ and side $c = \frac{ 587 }{ 100 }$. | 1 |
| 13288 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = 7$ and side $c = \frac{ 587 }{ 100 }$. | 1 |
| 13289 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 117 }{ 10 }$, side $c = 6$ and angle $\alpha = 60^o$. | 1 |
| 13290 | Find the of a trapezoid if long base $a = 120$, short base $b = 100$ and height $h = 220$. | 1 |
| 13291 | Find the long base $ a $ of a trapezoid if long base $a = 20$, height $h = 18$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 13292 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 3$, height $h = 18$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 13293 | Find the side $ c $ of a trapezoid if long base $a = 15$ and short base $b = 7$. | 1 |
| 13294 | Find the side $ c $ of a trapezoid if long base $a = 15$, short base $b = 7$ and height $h = 92$. | 1 |
| 13295 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 22$ and angle $\beta = 105^o$. | 1 |
| 13296 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 26$ and angle $\beta = 105^o$. | 1 |
| 13297 | Find the long base $ a $ of a trapezoid if long base $a = 200$, short base $b = 120$ and side $c = 220$. | 1 |
| 13298 | Find the of a trapezoid if long base $a = 20$, short base $b = 10$, side $c = 27$, height $h = \frac{ 25 }{ 2 }$ and angle $\beta = 45^o$. | 1 |
| 13299 | Find the of a trapezoid if long base $a = 20$, short base $b = 10$ and height $h = \frac{ 25 }{ 2 }$. | 1 |
| 13300 | Find the long base $ a $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 1 }{ 10 }$ and median $m = \frac{ 3 }{ 2 }$. | 1 |
