Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6551 | Find the long base $ a $ of a trapezoid if short base $b = 1.75\, \text{in}$, side $c = 1.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6552 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{in}$, side $c = 100\, \text{in}$ and angle $\beta = 180^o$. | 2 |
| 6553 | Find the long base $ a $ of a trapezoid if long base $a = 20.6\, \text{ft}$, side $c = 1.5\, \text{ft}$, angle $\alpha = 76^o$ and angle $\beta = 76^o$. | 2 |
| 6554 | Find the short base $ b $ of a trapezoid if long base $a = 20.6\, \text{ft}$, side $c = 1.5\, \text{ft}$ and height $h = 1.5\, \text{ft}$. | 2 |
| 6555 | Find the long base $ a $ of a trapezoid if long base $a = 55.75\, \text{in}$, height $h = 28\, \text{in}$ and angle $\alpha = 9.5^o$. | 2 |
| 6556 | Find the short base $ b $ of a trapezoid if long base $a = 55.75\, \text{in}$, height $h = 28\, \text{in}$ and angle $\alpha = 80.5^o$. | 2 |
| 6557 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 6558 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 9.5\, \text{in}$. | 2 |
| 6559 | Find the angle $ \beta $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 9.5\, \text{in}$. | 2 |
| 6560 | Find the angle $ \alpha $ of a trapezoid if long base $a = 127\, \text{in}$, short base $b = 84\, \text{in}$, diagonal $d = 21\, \text{in}$ and height $h = 21\, \text{in}$. | 2 |
| 6561 | Find the height $ h $ of a trapezoid if long base $a = 5.42\, \text{mm}$, short base $b = 4.5809\, \text{mm}$ and angle $\beta = 100^o$. | 2 |
| 6562 | Find the height $ h $ of a trapezoid if long base $a = 5.42\, \text{mm}$, short base $b = 4.5809\, \text{mm}$ and angle $\alpha = 80^o$. | 2 |
| 6563 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{m}$, short base $b = 4\, \text{m}$ and height $h = 10\, \text{m}$. | 2 |
| 6564 | Find the long base $ a $ of a trapezoid if ???. | 2 |
| 6565 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{m}$, short base $b = 12\, \text{m}$, side $c = 18\, \text{m}$, diagonal $d = 20\, \text{m}$, angle $\alpha = 115^o$ and angle $\beta = 115^o$. | 2 |
| 6566 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{m}$, short base $b = 12\, \text{m}$, side $c = 18\, \text{m}$, diagonal $d = 20\, \text{m}$, angle $\alpha = 115^o$ and angle $\beta = 115^o$. | 2 |
| 6567 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 8\, \text{ft}$. | 2 |
| 6568 | Find the long base $ a $ of a trapezoid if short base $b = 37\, \text{in}$, height $h = 10\, \text{in}$ and angle $\beta = 164^o$. | 2 |
| 6569 | Find the long base $ a $ of a trapezoid if short base $b = 37\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6570 | Find the long base $ a $ of a trapezoid if long base $a = 47\, \text{mm}$, short base $b = 37\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 6571 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{cm}$ and height $h = 9\, \text{cm}$. | 2 |
| 6572 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{ft}$ and height $h = 4\, \text{ft}$. | 2 |
| 6573 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{mm}$, height $h = 8\, \text{mm}$ and area $A = 40\, \text{mm}^2$. | 2 |
| 6574 | Find the area $ A $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and angle $\alpha = 49^o$. | 2 |
| 6575 | Find the area $ A $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and angle $\alpha = 49^o$. | 2 |
| 6576 | Find the long base $ a $ of a trapezoid if side $c = 40\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 30^o$. | 2 |
| 6577 | Find the short base $ b $ of a trapezoid if short base $b = 50\, \text{mm}$, side $c = 40\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 6578 | Find the long base $ a $ of a trapezoid if short base $b = 750\, \text{mm}$, height $h = 2.2\, \text{mm}$ and angle $\alpha = 39^o$. | 2 |
| 6579 | Find the long base $ a $ of a trapezoid if short base $b = 750\, \text{mm}$, height $h = 2.2\, \text{m}$ and angle $\alpha = 39^o$. | 2 |
| 6580 | Find the long base $ a $ of a trapezoid if short base $b = 500\, \text{mm}$, height $h = 2\, \text{m}$ and angle $\alpha = 39^o$. | 2 |
| 6581 | Find the long base $ a $ of a trapezoid if short base $b = 2900\, \text{mm}$ and side $c = 2300\, \text{mm}$. | 2 |
| 6582 | Find the long base $ a $ of a trapezoid if long base $a = 3000\, \text{mm}$, side $c = 3100\, \text{mm}$, height $h = 3100\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 72^o$. | 2 |
| 6583 | Find the side $ c $ of a trapezoid if long base $a = 3000\, \text{mm}$, side $c = 3100\, \text{mm}$, height $h = 3100\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 72^o$. | 2 |
| 6584 | Find the long base $ a $ of a trapezoid if long base $a = 58.5\, \text{in}$, short base $b = 53.25\, \text{in}$ and height $h = 16\, \text{in}$. | 2 |
| 6585 | Find the side $ c $ of a trapezoid if long base $a = 96\, \text{in}$ and short base $b = 30\, \text{in}$. | 2 |
| 6586 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$, side $c = 36.875\, \text{in}$, diagonal $d = 36.875\, \text{in}$ and height $h = 31.75\, \text{in}$. | 2 |
| 6587 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$, side $c = 36.875\, \text{in}$ and height $h = 31.75\, \text{in}$. | 2 |
| 6588 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$ and side $c = 36.875\, \text{in}$. | 2 |
| 6589 | Find the area $ A $ of a trapezoid if short base $b = 5.333\, \text{ft}$, height $h = 5.8333\, \text{ft}$ and angle $\beta = 116.57^o$. | 2 |
| 6590 | Find the area $ A $ of a trapezoid if short base $b = 5.333\, \text{ft}$, height $h = 5.833\, \text{ft}$ and angle $\beta = 116.6^o$. | 2 |
| 6591 | Find the area $ A $ of a trapezoid if long base $a = 3.5\, \text{m}$, short base $b = 1\, \text{m}$ and height $h = 0.78\, \text{m}$. | 2 |
| 6592 | Find the area $ A $ of a trapezoid if long base $a = 3.946\, \text{m}$, short base $b = 1\, \text{m}$ and height $h = 1.13\, \text{m}$. | 2 |
| 6593 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 24\, \text{mm}$. | 2 |
| 6594 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 2\, \text{mm}$ and angle $\alpha = 5^o$. | 2 |
| 6595 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 2\, \text{in}$, angle $\alpha = 5^o$ and angle $\beta = 175^o$. | 2 |
| 6596 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, angle $\alpha = 5^o$ and angle $\beta = 175^o$. | 2 |
| 6597 | Find the long base $ a $ of a trapezoid if short base $b = 226\, \text{mm}$, side $c = 372\, \text{mm}$, angle $\alpha = 36.25^o$ and angle $\beta = 143.75^o$. | 2 |
| 6598 | Find the short base $ b $ of a trapezoid if long base $a = 192\, \text{in}$, side $c = 812.9728\, \text{in}$ and height $h = 811.4564\, \text{in}$. | 2 |
| 6599 | Find the diagonal $ d $ of a trapezoid if long base $a = 192\, \text{in}$, side $c = 812.9728\, \text{in}$, height $h = 811.4564\, \text{in}$ and angle $\alpha = 86.5^o$. | 2 |
| 6600 | Find the diagonal $ d $ of a trapezoid if long base $a = 192\, \text{in}$, side $c = 812.9728\, \text{in}$ and height $h = 811.4564\, \text{in}$. | 2 |