Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9701 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$, angle $\alpha = 37^o$ and angle $\beta = 127^o$. | 1 |
| 9702 | Find the side $ c $ of a trapezoid if height $h = 3.98\, \text{mm}$, angle $\alpha = 37^o$ and angle $\beta = 127^o$. | 1 |
| 9703 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{m}$, short base $b = 4\, \text{m}$ and side $c = 10\, \text{m}$. | 1 |
| 9704 | Find the area $ A $ of a trapezoid if side $c = 25\, \text{cm}$ and height $h = 15\, \text{cm}$. | 1 |
| 9705 | Find the long base $ a $ of a trapezoid if diagonal $d = 15\, \text{cm}$ and angle $\beta = 135^o$. | 1 |
| 9706 | Find the short base $ b $ of a trapezoid if diagonal $d = 15\, \text{cm}$ and angle $\beta = 135^o$. | 1 |
| 9707 | Find the side $ c $ of a trapezoid if long base $a = 29\, \text{in}$, short base $b = 23\, \text{mm}$ and height $h = 32\, \text{in}$. | 1 |
| 9708 | Find the diagonal $ d $ of a trapezoid if long base $a = 29\, \text{in}$, short base $b = 23\, \text{mm}$ and height $h = 32\, \text{in}$. | 1 |
| 9709 | Find the diagonal $ d $ of a trapezoid if long base $a = 29\, \text{in}$, short base $b = 23\, \text{mm}$ and height $h = 39\, \text{in}$. | 1 |
| 9710 | Find the side $ c $ of a trapezoid if long base $a = 35.5\, \text{in}$ and height $h = 7\, \text{in}$. | 1 |
| 9711 | Find the long base $ a $ of a trapezoid if side $c = 15\, \text{ft}$, area $A = 265\, \text{ft}^2$ and angle $\alpha = 45^o$. | 1 |
| 9712 | Find the long base $ a $ of a trapezoid if side $c = 15\, \text{ft}$, height $h = 15\, \text{ft}$, area $A = 265\, \text{ft}^2$ and angle $\alpha = 45^o$. | 1 |
| 9713 | Find the long base $ a $ of a trapezoid if side $c = 15\, \text{ft}$, height $h = 15\, \text{ft}$, area $A = 265\, \text{ft}^2$, angle $\alpha = 45^o$ and angle $\beta = 90^o$. | 1 |
| 9714 | Find the long base $ a $ of a trapezoid if height $h = 3.98\, \text{ft}$, angle $\alpha = 58^o$ and angle $\beta = 127^o$. | 1 |
| 9715 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 3.98\, \text{mm}$. | 1 |
| 9716 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\beta = 127^o$. | 1 |
| 9717 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 37^o$. | 1 |
| 9718 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 57^o$. | 1 |
| 9719 | Find the short base $ b $ of a trapezoid if long base $a = 5.4\, \text{cm}$, side $c = 3.8\, \text{cm}$, height $h = 3\, \text{cm}$ and area $A = 14.1\, \text{cm}^2$. | 1 |
| 9720 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{mm}$, side $c = 14\, \text{mm}$ and angle $\beta = 45^o$. | 1 |
| 9721 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{in}$, side $c = 14\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9722 | Find the long base $ a $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 132\, \text{in}$ and height $h = 39.6\, \text{in}$. | 1 |
| 9723 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{mm}$, side $c = 11\, \text{mm}$, angle $\alpha = 70^o$ and angle $\beta = 130^o$. | 1 |
| 9724 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{km}$, short base $b = 8\, \text{cm}$ and area $A = 135\, \text{cm}$. | 1 |
| 9725 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 2\, \text{mm}$. | 1 |
| 9726 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 2\, \text{mm}$. | 1 |
| 9727 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 3\, \text{mm}$. | 1 |
| 9728 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 3\, \text{mm}$. | 1 |
| 9729 | Find the long base $ a $ of a trapezoid if side $c = 4\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 60^o$. | 1 |
| 9730 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{ft}$ and side $c = 4.7\, \text{ft}$. | 1 |
| 9731 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{ft}$, side $c = 4.7\, \text{ft}$ and height $h = 6\, \text{ft}$. | 1 |
| 9732 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 4.5\, \text{ft}$ and side $c = 4.7\, \text{ft}$. | 1 |
| 9733 | Find the angle $ \beta $ of a trapezoid if long base $a = 7.5\, \text{mm}$ and side $c = 9.5\, \text{mm}$. | 1 |
| 9734 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{ft}$, height $h = 30\, \text{mm}$ and angle $\alpha = 5^o$. | 1 |
| 9735 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{ft}$, height $h = 30\, \text{ft}$ and angle $\alpha = 5^o$. | 1 |
| 9736 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$, height $h = 2\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9737 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{in}$, side $c = 27\, \text{in}$, angle $\alpha = 80.9^o$ and angle $\beta = 99.1^o$. | 1 |
| 9738 | Find the long base $ a $ of a trapezoid if angle $\alpha = 80.9^o$ and angle $\beta = 99.1^o$. | 1 |
| 9739 | Find the long base $ a $ of a trapezoid if side $c = 18.5\, \text{in}$, angle $\alpha = 80.9^o$ and angle $\beta = 99.1^o$. | 1 |
| 9740 | Find the height $ h $ of a trapezoid if long base $a = 74\, \text{in}$, short base $b = 32\, \text{in}$ and side $c = 30\, \text{in}$. | 1 |
| 9741 | Find the angle $ \beta $ of a trapezoid if long base $a = 74\, \text{in}$, short base $b = 32\, \text{in}$ and side $c = 30\, \text{in}$. | 1 |
| 9742 | Find the angle $ \alpha $ of a trapezoid if long base $a = 74\, \text{in}$, short base $b = 32\, \text{in}$ and side $c = 30\, \text{in}$. | 1 |
| 9743 | Find the angle $ \alpha $ of a trapezoid if long base $a = 74\, \text{in}$, short base $b = 31.5\, \text{in}$ and side $c = 30\, \text{in}$. | 1 |
| 9744 | Find the angle $ \alpha $ of a trapezoid if short base $b = 31.5\, \text{in}$, side $c = 30\, \text{in}$ and angle $\alpha = 50^o$. | 1 |
| 9745 | Find the long base $ a $ of a trapezoid if short base $b = 31.5\, \text{mm}$, height $h = 21\, \text{mm}$ and angle $\alpha = 50^o$. | 1 |
| 9746 | Find the long base $ a $ of a trapezoid if short base $b = 31.5\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 50^o$. | 1 |
| 9747 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 4.75\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 50^o$. | 1 |
| 9748 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 4.75\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 50^o$. | 1 |
| 9749 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{in}$, short base $b = 4.75\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 50^o$. | 1 |
| 9750 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{in}$, short base $b = 4.75\, \text{in}$ and angle $\alpha = 50^o$. | 1 |
