Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5401 | Find the long base $ a $ of a trapezoid if short base $b = 26\, \text{mm}$ and side $c = 14\, \text{mm}$. | 2 |
| 5402 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 5403 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 5404 | Find the height $ h $ of a trapezoid if long base $a = 3\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 5405 | Find the height $ h $ of a trapezoid if long base $a = 2\, \text{in}$, short base $b = 1.2\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 5406 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 8\, \text{in}$, height $h = 47\, \text{in}$ and angle $\alpha = 9^o$. | 2 |
| 5407 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{ft}$, short base $b = 5\, \text{ft}$ and side $c = 3\, \text{ft}$. | 2 |
| 5408 | Find the area $ A $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 5\, \text{ft}$ and side $c = 3\, \text{ft}$. | 2 |
| 5409 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$ and short base $b = 44\, \text{mm}$. | 2 |
| 5410 | Find the long base $ a $ of a trapezoid if long base $a = 11.4\, \text{cm}$, short base $b = 5.7\, \text{cm}$ and side $c = 8\, \text{cm}$. | 2 |
| 5411 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$ and short base $b = 10\, \text{mm}$. | 2 |
| 5412 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5413 | Find the area $ A $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$, side $c = 8\, \text{ft}$ and height $h = 7\, \text{ft}$. | 2 |
| 5414 | Find the area $ A $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 7\, \text{ft}$. | 2 |
| 5415 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 11\, \text{mm}$, side $c = 9\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 10^o$. | 2 |
| 5416 | Find the long base $ a $ of a trapezoid if long base $a = 187\, \text{mm}$, height $h = 85\, \text{mm}$ and angle $\alpha = 30^o$. | 2 |
| 5417 | Find the long base $ a $ of a trapezoid if height $h = 30\, \text{mm}$, median $m = 80\, \text{mm}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 5418 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5419 | Find the long base $ a $ of a trapezoid if side $c = 8\, \text{cm}$, height $h = 10\, \text{cm}$ and area $A = 78\, \text{cm}^2$. | 2 |
| 5420 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{cm}$, height $h = 10\, \text{cm}$ and area $A = 78\, \text{cm}^2$. | 2 |
| 5421 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{cm}$, height $h = 10\, \text{cm}$ and area $A = 78\, \text{cm}^2$. | 2 |
| 5422 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{cm}$, height $h = 8\, \text{cm}$ and area $A = 180\, \text{cm}^2$. | 2 |
| 5423 | Find the diagonal $ d $ of a trapezoid if long base $a = 2408\, \text{mm}$, short base $b = 1518\, \text{mm}$, side $c = 5935\, \text{mm}$ and diagonal $d = 5935\, \text{mm}$. | 2 |
| 5424 | Find the diagonal $ d $ of a trapezoid if long base $a = 2408\, \text{mm}$, short base $b = 1518\, \text{mm}$ and side $c = 5935\, \text{mm}$. | 2 |
| 5425 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 2.25\, \text{mm}$, height $h = 24\, \text{in}$ and angle $\alpha = 10^o$. | 2 |
| 5426 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 10^o$. | 2 |
| 5427 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 10^o$. | 2 |
| 5428 | Find the long base $ a $ of a trapezoid if long base $a = 1000\, \text{mm}$, short base $b = 7000\, \text{mm}$ and height $h = 250\, \text{mm}$. | 2 |
| 5429 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 10\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 5430 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 40^o$. | 2 |
| 5431 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 40^o$. | 2 |
| 5432 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 40^o$. | 2 |
| 5433 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 5434 | Find the long base $ a $ of a trapezoid if height $h = 12\, \text{mm}$ and area $A = 48\, \text{mm}^2$. | 2 |
| 5435 | Find the long base $ a $ of a trapezoid if short base $b = 7.45\, \text{mm}$, height $h = 72\, \text{mm}$ and angle $\alpha = 83^o$. | 2 |
| 5436 | Find the area $ A $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 5437 | Find the height $ h $ of a trapezoid if long base $a = 136.41\, \text{mm}$, short base $b = 110\, \text{mm}$ and side $c = 59.58\, \text{mm}$. | 2 |
| 5438 | Find the side $ c $ of a trapezoid if long base $a = 136.41\, \text{mm}$, short base $b = 110\, \text{mm}$ and height $h = 58.8\, \text{mm}$. | 2 |
| 5439 | Find the height $ h $ of a trapezoid if long base $a = 135.26\, \text{mm}$, short base $b = 117.6\, \text{mm}$ and side $c = 30.19\, \text{mm}$. | 2 |
| 5440 | Find the height $ h $ of a trapezoid if long base $a = 139\, \text{mm}$, short base $b = 1176\, \text{mm}$ and side $c = 30.19\, \text{mm}$. | 2 |
| 5441 | Find the long base $ a $ of a trapezoid if side $c = 33.75\, \text{mm}$. | 2 |
| 5442 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6.04\, \text{mm}$, short base $b = 2.5\, \text{mm}$ and height $h = 2.17\, \text{mm}$. | 2 |
| 5443 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 14\, \text{in}$. | 2 |
| 5444 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 14\, \text{in}$. | 2 |
| 5445 | Find the median $ m $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 14\, \text{in}$. | 2 |
| 5446 | Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 14\, \text{in}$. | 2 |
| 5447 | Find the height $ h $ of a trapezoid if long base $a = 156\, \text{ft}$, area $A = 318.18\, \text{ft}^2$ and angle $\alpha = 11.3099^o$. | 2 |
| 5448 | Find the height $ h $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 55\, \text{mm}$ and angle $\alpha = 30^o$. | 2 |
| 5449 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{cm}$, short base $b = 12\, \text{mm}$ and height $h = 8\, \text{mm}$. | 2 |
| 5450 | Find the median $ m $ of a trapezoid if long base $a = 50\, \text{ft}$, short base $b = 30\, \text{ft}$ and side $c = 60\, \text{ft}$. | 2 |
