Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6501 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{mm}$, median $m = 10\, \text{mm}$, angle $\alpha = 24^o$ and angle $\beta = 79^o$. | 1 |
| 6502 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{mm}$ and diagonal $d = 6\, \text{mm}$. | 1 |
| 6503 | Find the long base $ a $ of a trapezoid if side $c = 5\, \text{mm}$. | 1 |
| 6504 | Find the long base $ a $ of a trapezoid if side $c = 5\, \text{mm}$ and median $m = 10\, \text{mm}$. | 1 |
| 6505 | Find the side $ c $ of a trapezoid if short base $b = 6\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\beta = 40^o$. | 1 |
| 6506 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 1 |
| 6507 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 1\, \text{mm}$. | 1 |
| 6508 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$ and side $c = 224\, \text{in}$. | 1 |
| 6509 | Find the diagonal $ d $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 32\, \text{in}$ and side $c = 32\, \text{in}$. | 1 |
| 6510 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, short base $b = 13\, \text{ft}$ and side $c = 26.1\, \text{ft}$. | 1 |
| 6511 | Find the diagonal $ d $ of a trapezoid if long base $a = 15\, \text{ft}$, short base $b = 13\, \text{ft}$ and side $c = 26.1\, \text{ft}$. | 1 |
| 6512 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$, height $h = 5\, \text{in}$ and angle $\beta = 45^o$. | 1 |
| 6513 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 100\, \text{mm}$. | 1 |
| 6514 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 100\, \text{in}$. | 1 |
| 6515 | Find the long base $ a $ of a trapezoid if long base $a = 34.5\, \text{in}$, short base $b = 27.5\, \text{in}$ and height $h = 11\, \text{in}$. | 1 |
| 6516 | Find the side $ c $ of a trapezoid if long base $a = 34.5\, \text{in}$, short base $b = 27.5\, \text{in}$ and height $h = 11\, \text{in}$. | 1 |
| 6517 | Find the angle $ \alpha $ of a trapezoid if long base $a = 36.16\, \text{in}$, short base $b = 20.75\, \text{in}$ and side $c = 21.38\, \text{in}$. | 1 |
| 6518 | Find the diagonal $ d $ of a trapezoid if long base $a = 74\, \text{in}$, short base $b = 120\, \text{in}$ and height $h = 76\, \text{in}$. | 1 |
| 6519 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 6520 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 89\, \text{mm}$ and side $c = 120\, \text{mm}$. | 1 |
| 6521 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{mm}$, short base $b = 16\, \text{mm}$ and height $h = 77\, \text{mm}$. | 1 |
| 6522 | Find the side $ c $ of a trapezoid if long base $a = 84.625\, \text{mm}$, short base $b = 69.75\, \text{mm}$ and angle $\alpha = 75^o$. | 1 |
| 6523 | Find the long base $ a $ of a trapezoid if long base $a = 12.6\, \text{mm}$, median $m = 11.3\, \text{mm}$ and angle $\beta = 90^o$. | 1 |
| 6524 | Find the short base $ b $ of a trapezoid if long base $a = 12.6\, \text{mm}$, median $m = 11.3\, \text{mm}$ and angle $\beta = 90^o$. | 1 |
| 6525 | Find the short base $ b $ of a trapezoid if long base $a = 12.6\, \text{mm}$ and median $m = 11.3\, \text{mm}$. | 1 |
| 6526 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$, height $h = 1\, \text{mm}$ and angle $\beta = 136.34^o$. | 1 |
| 6527 | Find the long base $ a $ of a trapezoid if short base $b = 6.25\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 6528 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 7\, \text{ft}$, side $c = 18\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 6529 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 6530 | Find the angle $ \alpha $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 6531 | Find the angle $ \beta $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 12\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 65.3764^o$. | 1 |
| 6532 | Find the angle $ \beta $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 12\, \text{in}$ and angle $\alpha = 65.3764^o$. | 1 |
| 6533 | Find the short base $ b $ of a trapezoid if long base $a = 34\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 65.3764^o$. | 1 |
| 6534 | Find the long base $ a $ of a trapezoid if short base $b = 86\, \text{in}$, height $h = 12\, \text{in}$ and angle $\beta = 44.5^o$. | 1 |
| 6535 | Find the angle $ \alpha $ of a trapezoid if long base $a = 222\, \text{mm}$, short base $b = 188\, \text{mm}$ and height $h = 55\, \text{mm}$. | 1 |
| 6536 | Find the angle $ \alpha $ of a trapezoid if long base $a = 222\, \text{mm}$, short base $b = 104\, \text{mm}$ and height $h = 55\, \text{mm}$. | 1 |
| 6537 | Find the angle $ \alpha $ of a trapezoid if long base $a = 362\, \text{mm}$, short base $b = 222\, \text{mm}$ and height $h = 55\, \text{mm}$. | 1 |
| 6538 | Find the angle $ \alpha $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 6539 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 38^o$. | 1 |
| 6540 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 15^o$. | 1 |
| 6541 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 40^o$. | 1 |
| 6542 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 28^o$. | 1 |
| 6543 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 20^o$. | 1 |
| 6544 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 6545 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 32^o$. | 1 |
| 6546 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 33^o$. | 1 |
| 6547 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 55\, \text{mm}$ and angle $\alpha = 32.5^o$. | 1 |
| 6548 | Find the short base $ b $ of a trapezoid if long base $a = 362\, \text{mm}$, height $h = 31.4\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 6549 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 80.54^o$. | 1 |
| 6550 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{mm}$, height $h = 2.9\, \text{mm}$ and angle $\alpha = 83.66^o$. | 1 |
