Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5501 | Find the long base $ a $ of a trapezoid if short base $b = 0.4\, \text{mm}$, height $h = 0.8\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5502 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{ft}$ and height $h = 3\, \text{mm}$. | 2 |
| 5503 | Find the angle $ \alpha $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 72\, \text{in}$. | 2 |
| 5504 | Find the side $ c $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 72\, \text{in}$. | 2 |
| 5505 | Find the short base $ b $ of a trapezoid if long base $a = 105\, \text{in}$, diagonal $d = 94\, \text{in}$ and height $h = 72\, \text{in}$. | 2 |
| 5506 | Find the long base $ a $ of a trapezoid if long base $a = 132\, \text{mm}$, short base $b = 84\, \text{mm}$ and height $h = 60\, \text{mm}$. | 2 |
| 5507 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, height $h = 2.17\, \text{in}$ and angle $\beta = 90.9^o$. | 2 |
| 5508 | Find the angle $ \beta $ of a trapezoid if long base $a = 31.333\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 53.625\, \text{in}$. | 2 |
| 5509 | Find the side $ c $ of a trapezoid if area $A = 60\, \text{in}^2$. | 2 |
| 5510 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 6\, \text{in}$ and area $A = 60\, \text{in}^2$. | 2 |
| 5511 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{cm}$, height $h = 6\, \text{cm}$ and angle $\alpha = 60^o$. | 2 |
| 5512 | Find the side $ c $ of a trapezoid if long base $a = 3\, \text{ft}$, short base $b = 1\, \text{ft}$ and angle $\beta = 105^o$. | 2 |
| 5513 | Find the median $ m $ of a trapezoid if long base $a = 1.5\, \text{m}$, short base $b = 1\, \text{ft}$, side $c = 6.5\, \text{ft}$ and angle $\beta = 105^o$. | 2 |
| 5514 | Find the long base $ a $ of a trapezoid if long base $a = 350 \sqrt{ 2 }\, \text{mm}$, short base $b = 350\, \text{mm}$ and side $c = 350\, \text{mm}$. | 2 |
| 5515 | Find the angle $ \alpha $ of a trapezoid if long base $a = 350 \sqrt{ 2 }\, \text{mm}$, short base $b = 350\, \text{mm}$ and side $c = 350\, \text{mm}$. | 2 |
| 5516 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{ft}$, short base $b = 22\, \text{ft}$ and height $h = 11\, \text{ft}$. | 2 |
| 5517 | Find the long base $ a $ of a trapezoid if long base $a = 20.25\, \text{in}$ and short base $b = 16.5\, \text{in}$. | 2 |
| 5518 | Find the long base $ a $ of a trapezoid if long base $a = 20.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and side $c = 16.75\, \text{mm}$. | 2 |
| 5519 | Find the angle $ \alpha $ of a trapezoid if long base $a = 21.5\, \text{in}$, short base $b = 17.5\, \text{in}$ and side $c = 17.75\, \text{in}$. | 2 |
| 5520 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.416\, \text{mm}$ and side $c = 0.416\, \text{mm}$. | 2 |
| 5521 | Find the angle $ \beta $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.416\, \text{mm}$ and side $c = 0.416\, \text{mm}$. | 2 |
| 5522 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 6.5\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 5523 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 6.5\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 5524 | Find the long base $ a $ of a trapezoid if short base $b = 613.5\, \text{in}$, height $h = 315.5\, \text{in}$ and angle $\alpha = 74^o$. | 2 |
| 5525 | Find the side $ c $ of a trapezoid if long base $a = 15.8\, \text{mm}$, short base $b = 5.5\, \text{mm}$ and height $h = 5.5\, \text{mm}$. | 2 |
| 5526 | Find the long base $ a $ of a trapezoid if long base $a = 1800\, \text{mm}$, short base $b = 765\, \text{mm}$ and side $c = 4300\, \text{mm}$. | 2 |
| 5527 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1800\, \text{mm}$, short base $b = 765\, \text{mm}$ and side $c = 4300\, \text{mm}$. | 2 |
| 5528 | Find the height $ h $ of a trapezoid if long base $a = 2700\, \text{mm}$, short base $b = 1210\, \text{mm}$ and side $c = 2240\, \text{mm}$. | 2 |
| 5529 | Find the short base $ b $ of a trapezoid if long base $a = 1160\, \text{mm}$, side $c = 2860\, \text{mm}$ and height $h = 2030\, \text{mm}$. | 2 |
| 5530 | Find the long base $ a $ of a trapezoid if angle $\alpha = 110^o$ and angle $\beta = 98^o$. | 2 |
| 5531 | Find the side $ c $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 5532 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, side $c = 1\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 5533 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{mm}$, side $c = 1\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 5534 | Find the long base $ a $ of a trapezoid if short base $b = 8.5\, \text{ft}$, height $h = 3.6\, \text{ft}$ and angle $\alpha = 45^o$. | 2 |
| 5535 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, height $h = 3.5\, \text{mm}$ and angle $\alpha = 33.69^o$. | 2 |
| 5536 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{m}$, height $h = 3.5\, \text{m}$ and angle $\alpha = 33.69^o$. | 2 |
| 5537 | Find the angle $ \beta $ of a trapezoid if long base $a = 6\, \text{m}$, short base $b = 3\, \text{m}$ and height $h = 1.5\, \text{m}$. | 2 |
| 5538 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6\, \text{m}$, short base $b = 3\, \text{m}$ and height $h = 1.5\, \text{m}$. | 2 |
| 5539 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1230\, \text{mm}$, short base $b = 300\, \text{mm}$ and side $c = 500\, \text{mm}$. | 2 |
| 5540 | Find the long base $ a $ of a trapezoid if long base $a = 43\, \text{in}$, short base $b = 30\, \text{in}$ and height $h = 96\, \text{in}$. | 2 |
| 5541 | Find the long base $ a $ of a trapezoid if long base $a = 54\, \text{cm}$, short base $b = 48\, \text{cm}$, side $c = 60\, \text{cm}$ and diagonal $d = 60\, \text{cm}$. | 2 |
| 5542 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.4166\, \text{mm}$ and side $c = 0.4166\, \text{mm}$. | 2 |
| 5543 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.4166\, \text{mm}$ and side $c = 0.4166\, \text{mm}$. | 2 |
| 5544 | Find the height $ h $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 2 |
| 5545 | Find the angle $ \beta $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{ft}$. | 2 |
| 5546 | Find the perimeter $ P $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{ft}$. | 2 |
| 5547 | Find the side $ c $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 81\, \text{in}$. | 2 |
| 5548 | Find the long base $ a $ of a trapezoid if short base $b = 500\, \text{mm}$, angle $\alpha = 74^o$ and angle $\beta = 105^o$. | 2 |
| 5549 | Find the long base $ a $ of a trapezoid if short base $b = 500\, \text{mm}$, angle $\alpha = 74.36^o$ and angle $\beta = 105.54^o$. | 2 |
| 5550 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$ and diagonal $d = 5\, \text{mm}$. | 2 |