Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8601 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{ft}$, side $c = 5.049\, \text{ft}$, height $h = 5\, \text{ft}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 1 |
| 8602 | Find the angle $ \beta $ of a trapezoid if long base $a = 21\, \text{ft}$, short base $b = 12\, \text{in}$ and height $h = 234\, \text{in}$. | 1 |
| 8603 | Find the diagonal $ d $ of a trapezoid if long base $a = 5\, \text{ft}$, side $c = 5.049\, \text{ft}$, height $h = 5\, \text{ft}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 1 |
| 8604 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{ft}$, side $c = 5\, \text{ft}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 1 |
| 8605 | Find the height $ h $ of a trapezoid if side $c = 5\, \text{ft}$ and angle $\alpha = 82^o$. | 1 |
| 8606 | Find the diagonal $ d $ of a trapezoid if side $c = 5\, \text{ft}$, height $h = 4.9513\, \text{ft}$ and angle $\alpha = 82^o$. | 1 |
| 8607 | Find the short base $ b $ of a trapezoid if side $c = 5\, \text{ft}$, height $h = 4.9513\, \text{ft}$ and angle $\alpha = 82^o$. | 1 |
| 8608 | Find the diagonal $ d $ of a trapezoid if short base $b = 3.5833\, \text{ft}$, side $c = 5\, \text{ft}$, height $h = 4.9513\, \text{ft}$ and angle $\alpha = 82^o$. | 1 |
| 8609 | Find the diagonal $ d $ of a trapezoid if short base $b = 3.5833\, \text{ft}$, side $c = 5\, \text{ft}$ and height $h = 4.9513\, \text{ft}$. | 1 |
| 8610 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, height $h = 132\, \text{in}$ and angle $\beta = 117.194^o$. | 1 |
| 8611 | Find the long base $ a $ of a trapezoid if side $c = 5\, \text{ft}$, diagonal $d = 6.5444\, \text{ft}$ and height $h = 4.9513\, \text{ft}$. | 1 |
| 8612 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{ft}$, short base $b = 3\, \text{ft}$, height $h = 2.5\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 30^o$. | 1 |
| 8613 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 78.5^o$. | 1 |
| 8614 | Find the long base $ a $ of a trapezoid if long base $a = 85\, \text{mm}$, short base $b = 110\, \text{mm}$ and side $c = 95.82\, \text{mm}$. | 1 |
| 8615 | Find the height $ h $ of a trapezoid if long base $a = 85\, \text{mm}$, short base $b = 110\, \text{mm}$ and side $c = 95.82\, \text{mm}$. | 1 |
| 8616 | Find the area $ A $ of a trapezoid if long base $a = 608.58\, \text{mm}$, short base $b = 530.1\, \text{mm}$ and side $c = 355.4\, \text{mm}$. | 1 |
| 8617 | Find the long base $ a $ of a trapezoid if area $A = 432.663\, \text{m}^2$, angle $\alpha = 85.3069^o$ and angle $\beta = 94.6931^o$. | 1 |
| 8618 | Find the side $ c $ of a trapezoid if long base $a = 432.663\, \text{mm}$, area $A = 4000\, \text{m}^2$, angle $\alpha = 85.3069^o$ and angle $\beta = 94.6931^o$. | 1 |
| 8619 | Find the side $ c $ of a trapezoid if long base $a = 432.663\, \text{m}$, area $A = 40000\, \text{m}^2$ and angle $\alpha = 85.3069^o$. | 1 |
| 8620 | Find the side $ c $ of a trapezoid if long base $a = 432.663\, \text{m}$, area $A = 40000\, \text{m}^2$, angle $\alpha = 85.3069^o$ and angle $\beta = 94.6931^o$. | 1 |
| 8621 | Find the side $ c $ of a trapezoid if long base $a = 432.663\, \text{m}$, area $A = 40000\, \text{m}^2$, angle $\alpha = 85.3^o$ and angle $\beta = 94.7^o$. | 1 |
| 8622 | Find the long base $ a $ of a trapezoid if long base $a = 432.663\, \text{m}$, short base $b = 423.5612\, \text{m}$, side $c = 93.4444\, \text{m}$, diagonal $d = 94.7478\, \text{m}$ and angle $\alpha = 85.3069^o$. | 1 |
| 8623 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{mm}$ and median $m = 16\, \text{mm}$. | 1 |
| 8624 | Find the long base $ a $ of a trapezoid if long base $a = 25.5\, \text{in}$ and side $c = 25.5\, \text{mm}$. | 1 |
| 8625 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, height $h = 4.375\, \text{in}$ and angle $\beta = 45^o$. | 1 |
| 8626 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 4.375\, \text{in}$. | 1 |
| 8627 | Find the angle $ \beta $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 7\, \text{in}$ and height $h = 4.375\, \text{in}$. | 1 |
| 8628 | Find the angle $ \beta $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 6\, \text{in}$, side $c = 5.25\, \text{in}$ and height $h = 4.375\, \text{in}$. | 1 |
| 8629 | Find the angle $ \beta $ of a trapezoid if short base $b = 6\, \text{in}$, side $c = 5.25\, \text{in}$ and height $h = 4.375\, \text{in}$. | 1 |
| 8630 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, side $c = 5.25\, \text{in}$ and height $h = 4.375\, \text{in}$. | 1 |
| 8631 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$, side $c = 32\, \text{mm}$, height $h = 32\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8632 | Find the long base $ a $ of a trapezoid if long base $a = 37.5\, \text{ft}$, short base $b = 36.5\, \text{ft}$ and side $c = 41.5\, \text{ft}$. | 1 |
| 8633 | Find the side $ c $ of a trapezoid if long base $a = 10.88\, \text{mm}$, height $h = 1.22\, \text{mm}$, median $m = 10.88\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 1^o$. | 1 |
| 8634 | Find the side $ c $ of a trapezoid if area $A = 10.88\, \text{mm}^2$, angle $\alpha = 90^o$ and angle $\beta = 89^o$. | 1 |
| 8635 | Find the side $ c $ of a trapezoid if long base $a = 10.88\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 89^o$. | 1 |
| 8636 | Find the long base $ a $ of a trapezoid if long base $a = 10.88\, \text{mm}$, side $c = 1.22\, \text{mm}$, height $h = 1.22\, \text{mm}$, angle $\alpha = 89^o$ and angle $\beta = 91^o$. | 1 |
| 8637 | Find the long base $ a $ of a trapezoid if height $h = 1.22\, \text{mm}$, angle $\alpha = 91^o$ and angle $\beta = 88^o$. | 1 |
| 8638 | Find the long base $ a $ of a trapezoid if long base $a = 10.88\, \text{mm}$, side $c = 1.22\, \text{mm}$ and angle $\alpha = 89^o$. | 1 |
| 8639 | Find the angle $ \beta $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 8.6603\, \text{in}$. | 1 |
| 8640 | Find the angle $ \beta $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 10\, \text{in}$, side $c = 10\, \text{in}$ and height $h = 8.6603\, \text{in}$. | 1 |
| 8641 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{in}$, height $h = 61.33\, \text{in}$, angle $\alpha = 83.489^o$ and angle $\beta = 96.511^o$. | 1 |
| 8642 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{in}$, height $h = 61.33\, \text{in}$ and angle $\alpha = 83.489^o$. | 1 |
| 8643 | Find the short base $ b $ of a trapezoid if long base $a = 70\, \text{in}$, height $h = 61.33\, \text{in}$ and angle $\alpha = 83.489^o$. | 1 |
| 8644 | Find the short base $ b $ of a trapezoid if long base $a = 56\, \text{in}$, height $h = 61.33\, \text{in}$ and angle $\alpha = 83.489^o$. | 1 |
| 8645 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 8646 | Find the angle $ \alpha $ of a trapezoid if long base $a = 7\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 8647 | Find the short base $ b $ of a trapezoid if long base $a = 64\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 8648 | Find the angle $ \alpha $ of a trapezoid if long base $a = 64\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 12\, \text{in}$. | 1 |
| 8649 | Find the area $ A $ of a trapezoid if ???. | 1 |
| 8650 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 12\, \text{mm}$. | 1 |
