Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5351 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{mm}$, height $h = 1.64\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5352 | Find the long base $ a $ of a trapezoid if side $c = 13\, \text{ft}$, angle $\alpha = 69^o$ and angle $\beta = 90^o$. | 2 |
| 5353 | Find the short base $ b $ of a trapezoid if long base $a = 67\, \text{in}$, height $h = 18\, \text{in}$ and angle $\alpha = 22.5^o$. | 2 |
| 5354 | Find the long base $ a $ of a trapezoid if short base $b = 31\, \text{in}$, height $h = 18\, \text{in}$ and angle $\alpha = 22.5^o$. | 2 |
| 5355 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$, short base $b = 50\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 5356 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 8\, \text{m}$ and side $c = 11\, \text{m}$. | 2 |
| 5357 | Find the angle $ \beta $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 36\, \text{in}$. | 2 |
| 5358 | Find the side $ c $ of a trapezoid if long base $a = 4.3\, \text{mm}$, short base $b = 1.8\, \text{mm}$ and side $c = 17.6\, \text{mm}$. | 2 |
| 5359 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 9\, \text{mm}$. | 2 |
| 5360 | Find the area $ A $ of a trapezoid if long base $a = 25\, \text{mm}$, short base $b = \frac{ 221 }{ 2 }\, \text{mm}$ and height $h = \frac{ 155 }{ 4 }\, \text{mm}$. | 2 |
| 5361 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 7\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 5362 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 18\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 5363 | Find the area $ A $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 7\, \text{mm}$. | 2 |
| 5364 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{m}$, short base $b = 20\, \text{m}$ and height $h = 6\, \text{m}$. | 2 |
| 5365 | Find the side $ c $ of a trapezoid if long base $a = 35\, \text{m}$, short base $b = 20\, \text{m}$ and height $h = 6\, \text{m}$. | 2 |
| 5366 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 51\, \text{in}$, side $c = 108\, \text{in}$, height $h = 108\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5367 | Find the height $ h $ of a trapezoid if long base $a = 204.69\, \text{mm}$, short base $b = 102\, \text{mm}$ and side $c = 40.53\, \text{mm}$. | 2 |
| 5368 | Find the height $ h $ of a trapezoid if long base $a = 204.69\, \text{mm}$, short base $b = 190.49\, \text{mm}$ and side $c = 40.53\, \text{mm}$. | 2 |
| 5369 | Find the long base $ a $ of a trapezoid if long base $a = 4.1875\, \text{in}$, short base $b = 3.75\, \text{mm}$ and height $h = 7.375\, \text{mm}$. | 2 |
| 5370 | Find the side $ c $ of a trapezoid if long base $a = 4.1875\, \text{in}$, short base $b = 3.75\, \text{in}$ and height $h = 7.375\, \text{in}$. | 2 |
| 5371 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{in}$ and short base $b = 84\, \text{mm}$. | 2 |
| 5372 | Find the long base $ a $ of a trapezoid if angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 5373 | Find the long base $ a $ of a trapezoid if short base $b = 4310\, \text{mm}$ and height $h = 560\, \text{mm}$. | 2 |
| 5374 | Find the long base $ a $ of a trapezoid if long base $a = 58\, \text{in}$, height $h = 38\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 26.57^o$. | 2 |
| 5375 | Find the short base $ b $ of a trapezoid if height $h = 30\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5376 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{cm}$, short base $b = 19.2\, \text{cm}$, side $c = 150\, \text{cm}$ and height $h = 150\, \text{cm}$. | 2 |
| 5377 | Find the height $ h $ of a trapezoid if long base $a = 16\, \text{cm}$, short base $b = 4\, \text{cm}$ and side $c = 10\, \text{cm}$. | 2 |
| 5378 | Find the long base $ a $ of a trapezoid if diagonal $d = 78\, \text{mm}$, area $A = 60\, \text{mm}^2$ and angle $\beta = 120^o$. | 2 |
| 5379 | Find the long base $ a $ of a trapezoid if long base $a = 75.9\, \text{cm}$, short base $b = 62.7\, \text{cm}$, diagonal $d = 150.84\, \text{cm}$ and height $h = 130.35\, \text{cm}$. | 2 |
| 5380 | Find the long base $ a $ of a trapezoid if long base $a = 75.9\, \text{cm}$, short base $b = 62.7\, \text{cm}$ and height $h = 130.35\, \text{cm}$. | 2 |
| 5381 | Find the long base $ a $ of a trapezoid if short base $b = 2.66\, \text{m}$, side $c = 1.5\, \text{m}$ and height $h = 0.56\, \text{m}$. | 2 |
| 5382 | Find the long base $ a $ of a trapezoid if short base $b = 4.31\, \text{m}$, side $c = 0.5\, \text{m}$ and height $h = 0.56\, \text{mm}$. | 2 |
| 5383 | Find the long base $ a $ of a trapezoid if short base $b = 4.31\, \text{m}$, side $c = 0.5\, \text{m}$ and height $h = 0.56\, \text{m}$. | 2 |
| 5384 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mm}$, side $c = 9.5\, \text{mm}$ and height $h = 11.5\, \text{mm}$. | 2 |
| 5385 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$, side $c = 5\, \text{mm}$ and height $h = 9\, \text{mm}$. | 2 |
| 5386 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{in}$, short base $b = 30\, \text{in}$ and side $c = 9\, \text{in}$. | 2 |
| 5387 | Find the angle $ \alpha $ of a trapezoid if long base $a = 33\, \text{in}$, short base $b = 30\, \text{in}$ and side $c = 9\, \text{in}$. | 2 |
| 5388 | Find the angle $ \beta $ of a trapezoid if long base $a = 33\, \text{in}$, short base $b = 30\, \text{in}$ and side $c = 9\, \text{in}$. | 2 |
| 5389 | Find the long base $ a $ of a trapezoid if long base $a = 270\, \text{mm}$ and short base $b = 152\, \text{mm}$. | 2 |
| 5390 | Find the side $ c $ of a trapezoid if long base $a = 270\, \text{mm}$, short base $b = 152\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5391 | Find the side $ c $ of a trapezoid if long base $a = 270\, \text{mm}$, short base $b = 152\, \text{mm}$, side $c = 94\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5392 | Find the side $ c $ of a trapezoid if long base $a = 270\, \text{mm}$, short base $b = 152\, \text{mm}$ and side $c = 94\, \text{mm}$. | 2 |
| 5393 | Find the long base $ a $ of a trapezoid if long base $a = 5.1\, \text{mm}$, short base $b = 4\, \text{mm}$ and area $A = 59.15\, \text{mm}^2$. | 2 |
| 5394 | Find the height $ h $ of a trapezoid if long base $a = 5.1\, \text{mm}$, short base $b = 4\, \text{mm}$ and area $A = 59.15\, \text{mm}^2$. | 2 |
| 5395 | Find the long base $ a $ of a trapezoid if long base $a = 389\, \text{mm}$, short base $b = 315\, \text{mm}$ and height $h = 763\, \text{mm}$. | 2 |
| 5396 | Find the angle $ \beta $ of a trapezoid if long base $a = 389\, \text{mm}$, short base $b = 315\, \text{mm}$ and height $h = 763\, \text{mm}$. | 2 |
| 5397 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{mm}$, short base $b = 24\, \text{mm}$, side $c = 13\, \text{mm}$ and height $h = 20\, \text{mm}$. | 2 |
| 5398 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 20\, \text{mm}$. | 2 |
| 5399 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{mm}$, short base $b = 24\, \text{mm}$ and side $c = 20\, \text{mm}$. | 2 |
| 5400 | Find the long base $ a $ of a trapezoid if short base $b = 26\, \text{mm}$ and side $c = 14\, \text{mm}$. | 2 |