Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 551 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$, median $m = 6\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 552 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 553 | Find the long base $ a $ of a trapezoid if short base $b = 26\, \text{in}$, height $h = 6\, \text{in}$ and angle $\beta = 150^o$. | 5 |
| 554 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and area $A = 3\, \text{m}^2$. | 5 |
| 555 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and angle $\alpha = 78.232^o$. | 5 |
| 556 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 22\, \text{m}$, height $h = 2.5\, \text{m}$ and angle $\alpha = 78.232^o$. | 5 |
| 557 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 22\, \text{m}$, height $h = 2.5\, \text{m}$ and angle $\alpha = 78.232^o$. | 5 |
| 558 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 13\, \text{in}$ and side $c = 24\, \text{in}$. | 5 |
| 559 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, angle $\alpha = 34^o$ and angle $\beta = 146^o$. | 5 |
| 560 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 5 |
| 561 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 45^o$. | 5 |
| 562 | Find the long base $ a $ of a trapezoid if short base $b = 58\, \text{in}$, height $h = 18\, \text{in}$ and angle $\beta = 25.7^o$. | 5 |
| 563 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 13\, \text{cm}$ and side $c = 15\, \text{cm}$. | 5 |
| 564 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, side $c = 1\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 565 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$ and side $c = 6\, \text{ft}$. | 4 |
| 566 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$, side $c = 6\, \text{ft}$ and diagonal $d = 136\, \text{in}$. | 4 |
| 567 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$, side $c = 6\, \text{ft}$ and diagonal $d = 11\, \text{ft}$. | 4 |
| 568 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{mm}$, height $h = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 4 |
| 569 | Find the long base $ a $ of a trapezoid if short base $b = 642\, \text{mm}$ and angle $\alpha = 66.2^o$. | 4 |
| 570 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 2.5\, \text{ft}$ and height $h = 1\, \text{ft}$. | 4 |
| 571 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 572 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{ft}$, side $c = 20\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 4 |
| 573 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 37.33\, \text{in}$ and height $h = 6\, \text{in}$. | 4 |
| 574 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{cm}$, short base $b = 50\, \text{cm}$, height $h = 50\, \text{cm}$ and angle $\alpha = 79^o$. | 4 |
| 575 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{cm}$, short base $b = 50\, \text{cm}$ and height $h = 50\, \text{cm}$. | 4 |
| 576 | Find the long base $ a $ of a trapezoid if height $h = 925\, \text{mm}$, median $m = 1246\, \text{mm}$ and angle $\alpha = 17^o$. | 4 |
| 577 | Find the long base $ a $ of a trapezoid if long base $a = 2.5\, \text{in}$, side $c = 5.25\, \text{in}$ and angle $\alpha = 2^o$. | 4 |
| 578 | Find the long base $ a $ of a trapezoid if long base $a = 3.5\, \text{mm}$, short base $b = 1.5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 579 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and area $A = 3\, \text{mm}^2$. | 4 |
| 580 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$, area $A = 3\, \text{m}^2$ and angle $\alpha = 78.232^o$. | 4 |
| 581 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 22\, \text{m}$ and height $h = 2.5\, \text{m}$. | 4 |
| 582 | Find the angle $ \alpha $ of a trapezoid if long base $a = 92.5\, \text{mm}$, short base $b = 38\, \text{mm}$, side $c = 59\, \text{mm}$ and diagonal $d = 70\, \text{mm}$. | 4 |
| 583 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mi}$, short base $b = 2.25\, \text{cm}$ and side $c = 24\, \text{cm}$. | 4 |
| 584 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, height $h = 6\, \text{ft}$, angle $\alpha = 146^o$ and angle $\beta = 34^o$. | 4 |
| 585 | Find the long base $ a $ of a trapezoid if long base $a = 58.5\, \text{in}$, short base $b = 48.25\, \text{in}$ and side $c = 35.375\, \text{in}$. | 4 |
| 586 | Find the long base $ a $ of a trapezoid if long base $a = 1100\, \text{mm}$, short base $b = 290\, \text{mm}$ and height $h = 450\, \text{mm}$. | 4 |
| 587 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 12\, \text{ft}$. | 4 |
| 588 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 12\, \text{ft}$. | 4 |
| 589 | Find the long base $ a $ of a trapezoid if height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 590 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 591 | Find the diagonal $ d $ of a trapezoid if long base $a = 264\, \text{in}$, short base $b = 144\, \text{in}$ and side $c = 298\, \text{in}$. | 4 |
| 592 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{dm}$, short base $b = 29\, \text{cm}$ and height $h = 24\, \text{cm}$. | 4 |
| 593 | Find the long base $ a $ of a trapezoid if angle $\alpha = 52^o$ and angle $\beta = 128^o$. | 4 |
| 594 | Find the long base $ a $ of a trapezoid if long base $a = 5.309\, \text{mm}$, short base $b = 3\, \text{mm}$ and angle $\alpha = 30^o$. | 4 |
| 595 | Find the long base $ a $ of a trapezoid if long base $a = 81.4\, \text{m}$, short base $b = 65\, \text{m}$, side $c = 113.01\, \text{m}$ and area $A = 8085\, \text{m}^2$. | 4 |
| 596 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{km}$, short base $b = 19\, \text{cm}$ and side $c = 22\, \text{cm}$. | 4 |
| 597 | Find the area $ A $ of a trapezoid if long base $a = 4.16\, \text{m}$, short base $b = 2.16\, \text{m}$ and side $c = 1.4\, \text{m}$. | 4 |
| 598 | Find the median $ m $ of a trapezoid if long base $a = 220\, \text{mm}$, short base $b = 160\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 599 | Find the angle $ \alpha $ of a trapezoid if long base $a = 94\, \text{in}$, short base $b = 52\, \text{in}$ and height $h = 30\, \text{in}$. | 4 |
| 600 | Find the height $ h $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 8\, \text{mm}$. | 4 |
