Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5551 | Find the diagonal $ d $ of a trapezoid if long base $a = 8\, \text{cm}$, short base $b = 2\, \text{cm}$ and side $c = 6\, \text{cm}$. | 2 |
| 5552 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 32\, \text{mm}$ and height $h = 20\, \text{mm}$. | 2 |
| 5553 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 32\, \text{ft}$ and height $h = 20\, \text{ft}$. | 2 |
| 5554 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 7\, \text{mm}$ and area $A = 112\, \text{mm}^2$. | 2 |
| 5555 | Find the side $ c $ of a trapezoid if long base $a = 50\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 48\, \text{in}$. | 2 |
| 5556 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.625\, \text{in}$ and angle $\alpha = 15^o$. | 2 |
| 5557 | Find the height $ h $ of a trapezoid if long base $a = 4.849\, \text{mm}$, short base $b = 4.646\, \text{mm}$ and angle $\alpha = 18^o$. | 2 |
| 5558 | Find the height $ h $ of a trapezoid if long base $a = 4.849\, \text{mm}$, short base $b = 4.646\, \text{mm}$ and angle $\alpha = 36^o$. | 2 |
| 5559 | Find the height $ h $ of a trapezoid if long base $a = 4.849\, \text{mm}$, short base $b = 4.646\, \text{mm}$, height $h = 0.625\, \text{mm}$ and angle $\alpha = 36^o$. | 2 |
| 5560 | Find the angle $ \beta $ of a trapezoid if long base $a = 4.849\, \text{mm}$, short base $b = 4.646\, \text{mm}$, height $h = 0.625\, \text{mm}$ and angle $\alpha = 36^o$. | 2 |
| 5561 | Find the long base $ a $ of a trapezoid if short base $b = 11.69\, \text{mm}$ and side $c = 24.66\, \text{m}$. | 2 |
| 5562 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{cm}$. | 2 |
| 5563 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{cm}$. | 2 |
| 5564 | Find the long base $ a $ of a trapezoid if long base $a = 10.8\, \text{m}$, short base $b = 6.35\, \text{m}$ and height $h = 6.35\, \text{m}$. | 2 |
| 5565 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{mm}$ and height $h = 33.28\, \text{mm}$. | 2 |
| 5566 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and height $h = 33.28\, \text{mm}$. | 2 |
| 5567 | Find the height $ h $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and side $c = 33.28\, \text{mm}$. | 2 |
| 5568 | Find the short base $ b $ of a trapezoid if long base $a = 50.875\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 66^o$. | 2 |
| 5569 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mi}$, short base $b = 2.125\, \text{cm}$ and side $c = 24\, \text{cm}$. | 2 |
| 5570 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 9.75\, \text{in}$ and side $c = 1.25\, \text{in}$. | 2 |
| 5571 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 9.75\, \text{in}$ and side $c = 1.25\, \text{in}$. | 2 |
| 5572 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 9.75\, \text{in}$ and side $c = 1.25\, \text{in}$. | 2 |
| 5573 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, side $c = 44\, \text{mm}$ and angle $\alpha = 33.69^o$. | 2 |
| 5574 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, side $c = 44\, \text{mm}$ and angle $\alpha = 33.69^o$. | 2 |
| 5575 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{in}$, height $h = 44\, \text{in}$ and angle $\alpha = \frac{ 2 }{ 3 }^o$. | 2 |
| 5576 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{cm}$, short base $b = 20\, \text{cm}$ and height $h = 16\, \text{cm}$. | 2 |
| 5577 | Find the angle $ \alpha $ of a trapezoid if long base $a = 40\, \text{cm}$, short base $b = 20\, \text{cm}$ and height $h = 16\, \text{cm}$. | 2 |
| 5578 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{mm}$ and height $h = 7\, \text{mm}$. | 2 |
| 5579 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{ft}$, side $c = 28.854\, \text{ft}$, height $h = 7\, \text{ft}$ and angle $\alpha = 14.04^o$. | 2 |
| 5580 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{ft}$, short base $b = 13\, \text{ft}$ and height $h = 13\, \text{ft}$. | 2 |
| 5581 | Find the angle $ \beta $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 5582 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, height $h = 3.5\, \text{ft}$ and angle $\alpha = 45^o$. | 2 |
| 5583 | Find the side $ c $ of a trapezoid if side $c = 6\, \text{cm}$, height $h = 14\, \text{cm}$ and area $A = 175\, \text{cm}^2$. | 2 |
| 5584 | Find the side $ c $ of a trapezoid if long base $a = 76\, \text{in}$, short base $b = 62\, \text{in}$ and height $h = 22.5\, \text{in}$. | 2 |
| 5585 | Find the side $ c $ of a trapezoid if short base $b = 62\, \text{in}$, side $c = 77.5\, \text{mm}$ and height $h = 22.5\, \text{in}$. | 2 |
| 5586 | Find the side $ c $ of a trapezoid if long base $a = 77.5\, \text{in}$, short base $b = 62\, \text{in}$ and height $h = 23.5\, \text{in}$. | 2 |
| 5587 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 147 }{ 8 }\, \text{in}$, short base $b = \frac{ 107 }{ 8 }\, \text{in}$, side $c = \frac{ 231 }{ 2 }\, \text{in}$ and height $h = \frac{ 237 }{ 8 }\, \text{in}$. | 2 |
| 5588 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1478\, \text{in}$, short base $b = \frac{ 107 }{ 8 }\, \text{in}$ and side $c = \frac{ 231 }{ 2 }\, \text{in}$. | 2 |
| 5589 | Find the angle $ \alpha $ of a trapezoid if long base $a = \frac{ 147 }{ 8 }\, \text{in}$, short base $b = \frac{ 107 }{ 8 }\, \text{in}$ and side $c = \frac{ 231 }{ 2 }\, \text{in}$. | 2 |
| 5590 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.8\, \text{in}$, short base $b = 10.8\, \text{in}$ and side $c = 23.5\, \text{in}$. | 2 |
| 5591 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{m}$, side $c = 2.5\, \text{m}$ and area $A = 8.35\, \text{m}^2$. | 2 |
| 5592 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{m}$, side $c = 2.5\, \text{m}$, area $A = 8.35\, \text{m}^2$ and angle $\alpha = 45^o$. | 2 |
| 5593 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{m}$, side $c = 2\, \text{m}$, area $A = 8.35\, \text{m}^2$ and angle $\alpha = 45^o$. | 2 |
| 5594 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{m}$, side $c = 2\, \text{m}$ and area $A = 8.35\, \text{m}^2$. | 2 |
| 5595 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{m}$ and side $c = 2\, \text{m}$. | 2 |
| 5596 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5597 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 10\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 5598 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 10\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 5599 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 5600 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{ft}$, side $c = 10\, \text{ft}$ and height $h = 8\, \text{ft}$. | 2 |