Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9601 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{in}$, height $h = 2.0625\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9602 | Find the short base $ b $ of a trapezoid if long base $a = 25\, \text{mm}$ and median $m = 18\, \text{mm}$. | 1 |
| 9603 | Find the perimeter $ P $ of a trapezoid if long base $a = 27\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 12 \sqrt{ 2 }\, \text{mm}$. | 1 |
| 9604 | Find the median $ m $ of a trapezoid if long base $a = 1153\, \text{mm}$, short base $b = 1000\, \text{mm}$ and height $h = 1100\, \text{mm}$. | 1 |
| 9605 | Find the side $ c $ of a trapezoid if long base $a = 91\, \text{in}$, short base $b = 48\, \text{in}$ and angle $\beta = 35^o$. | 1 |
| 9606 | Find the side $ c $ of a trapezoid if long base $a = 91\, \text{in}$, short base $b = 48\, \text{in}$ and angle $\alpha = 35^o$. | 1 |
| 9607 | Find the perimeter $ P $ of a trapezoid if long base $a = 48\, \text{in}$, side $c = 18\, \text{in}$ and height $h = 50\, \text{mm}$. | 1 |
| 9608 | Find the side $ c $ of a trapezoid if long base $a = 50\, \text{in}$, side $c = 18\, \text{in}$ and height $h = 48\, \text{in}$. | 1 |
| 9609 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 1 |
| 9610 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{ft}$, short base $b = 10\, \text{ft}$ and height $h = 1\, \text{ft}$. | 1 |
| 9611 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = \frac{\sqrt{ 3 }}{ 3 }\, \text{mm}$, side $c = 30\, \text{mm}$, height $h = \frac{ 8 \sqrt{ 3}}{ 3 }\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 9612 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, side $c = 30\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 9613 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 9614 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 9615 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, diagonal $d = 8\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 9616 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, diagonal $d = 8\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 9617 | Find the angle $ \alpha $ of a trapezoid if long base $a = 101\, \text{in}$, short base $b = 53.5\, \text{in}$ and side $c = 35\, \text{mm}$. | 1 |
| 9618 | Find the angle $ \alpha $ of a trapezoid if long base $a = 101\, \text{in}$, short base $b = 53.5\, \text{in}$ and side $c = 35\, \text{in}$. | 1 |
| 9619 | Find the long base $ a $ of a trapezoid if side $c = 7\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9620 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 5\, \text{m}$, height $h = 12\, \text{m}$ and angle $\beta = 135^o$. | 1 |
| 9621 | Find the long base $ a $ of a trapezoid if long base $a = 550\, \text{mm}$, short base $b = 300\, \text{mm}$ and height $h = 430\, \text{mm}$. | 1 |
| 9622 | Find the side $ c $ of a trapezoid if long base $a = 550\, \text{mm}$, short base $b = 300\, \text{mm}$ and height $h = 430\, \text{mm}$. | 1 |
| 9623 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{in}$, side $c = 52\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9624 | Find the short base $ b $ of a trapezoid if long base $a = 52\, \text{in}$, side $c = 8\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9625 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, height $h = 52\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 9626 | Find the long base $ a $ of a trapezoid if long base $a = 1065\, \text{mm}$, short base $b = 183\, \text{mm}$ and side $c = 1652\, \text{mm}$. | 1 |
| 9627 | Find the long base $ a $ of a trapezoid if long base $a = 61.5\, \text{ft}$, short base $b = 5.5\, \text{ft}$ and side $c = 31\, \text{ft}$. | 1 |
| 9628 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 2\, \text{mm}$ and height $h = \frac{ 41 }{ 2 }\, \text{mm}$. | 1 |
| 9629 | Find the angle $ \beta $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 1 |
| 9630 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 2\, \text{ft}$ and height $h = 6\, \text{ft}$. | 1 |
| 9631 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{ft}$, height $h = 6\, \text{ft}$, angle $\alpha = 53^o$ and angle $\beta = 126^o$. | 1 |
| 9632 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 1 |
| 9633 | Find the median $ m $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 1 |
| 9634 | Find the diagonal $ d $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$, side $c = 7.5\, \text{ft}$ and height $h = 6\, \text{ft}$. | 1 |
| 9635 | Find the diagonal $ d $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and side $c = 7.5\, \text{ft}$. | 1 |
| 9636 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and side $c = 7.5\, \text{ft}$. | 1 |
| 9637 | Find the angle $ \alpha $ of a trapezoid if short base $b = 3\, \text{ft}$, height $h = 2\, \text{ft}$ and angle $\alpha = 53.1301^o$. | 1 |
| 9638 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{ft}$, height $h = 2\, \text{ft}$ and angle $\alpha = 53.1301^o$. | 1 |
| 9639 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{ft}$, height $h = 11.13\, \text{ft}$ and angle $\alpha = 45^o$. | 1 |
| 9640 | Find the short base $ b $ of a trapezoid if long base $a = 34\, \text{cm}$, height $h = 18.3\, \text{cm}$ and area $A = 503.25\, \text{cm}^2$. | 1 |
| 9641 | Find the height $ h $ of a trapezoid if long base $a = 12.166\, \text{ft}$, side $c = 2\, \text{ft}$ and diagonal $d = 12\, \text{ft}$. | 1 |
| 9642 | Find the height $ h $ of a trapezoid if side $c = 2\, \text{ft}$, diagonal $d = 12\, \text{ft}$ and angle $\alpha = 9.462^o$. | 1 |
| 9643 | Find the height $ h $ of a trapezoid if side $c = 2\, \text{ft}$, diagonal $d = 12\, \text{ft}$ and angle $\alpha = 80.54^o$. | 1 |
| 9644 | Find the angle $ \alpha $ of a trapezoid if long base $a = 3.5\, \text{in}$, short base $b = 2.375\, \text{in}$, side $c = 45\, \text{in}$, height $h = 45\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9645 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, side $c = 21\, \text{in}$ and angle $\alpha = 90^o$. | 1 |
| 9646 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9647 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{mm}$ and angle $\beta = 45^o$. | 1 |
| 9648 | Find the long base $ a $ of a trapezoid if long base $a = 0.21\, \text{in}$. | 1 |
| 9649 | Find the long base $ a $ of a trapezoid if long base $a = 0.21\, \text{in}$, short base $b = 0.1395\, \text{in}$, side $c = 0.121\, \text{in}$ and height $h = 0.124\, \text{in}$. | 1 |
| 9650 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.21\, \text{in}$, short base $b = 0.1395\, \text{in}$, side $c = 0.121\, \text{in}$ and height $h = 0.124\, \text{in}$. | 1 |
