Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 451 | Find the short base $ b $ of a trapezoid if long base $a = 86\, \text{mm}$, height $h = 60.5\, \text{mm}$, angle $\alpha = 46.302^o$ and angle $\beta = 133.698^o$. | 5 |
| 452 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$ and angle $\alpha = 70^o$. | 5 |
| 453 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 5 |
| 454 | Find the long base $ a $ of a trapezoid if long base $a = 1500\, \text{mm}$, short base $b = 2000\, \text{mm}$, side $c = 1800\, \text{mm}$ and diagonal $d = 2500\, \text{mm}$. | 5 |
| 455 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 5\, \text{mm}$. | 5 |
| 456 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 5 |
| 457 | Find the side $ c $ of a trapezoid if long base $a = 0.765\, \text{in}$, short base $b = 0.68\, \text{in}$ and height $h = 0.76\, \text{in}$. | 5 |
| 458 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\beta = 120^o$. | 5 |
| 459 | Find the side $ c $ of a trapezoid if long base $a = 148\, \text{in}$, short base $b = 44\, \text{in}$ and angle $\beta = 22.5^o$. | 5 |
| 460 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{mm}$. | 5 |
| 461 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{ft}$, short base $b = 17\, \text{ft}$ and height $h = 17\, \text{ft}$. | 5 |
| 462 | Find the side $ c $ of a trapezoid if long base $a = 35.5\, \text{mm}$, short base $b = 21.5\, \text{mm}$ and height $h = 14\, \text{mm}$. | 5 |
| 463 | Find the side $ c $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 21\, \text{mm}$ and height $h = 13.5\, \text{mm}$. | 5 |
| 464 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 15.25\, \text{mm}$. | 5 |
| 465 | Find the height $ h $ of a trapezoid if long base $a = 94\, \text{in}$, short base $b = 52\, \text{in}$ and side $c = 36.5\, \text{in}$. | 5 |
| 466 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$ and diagonal $d = \sqrt{ 75 }\, \text{mm}$. | 5 |
| 467 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46.25\, \text{in}$ and short base $b = 25.5\, \text{in}$. | 5 |
| 468 | Find the long base $ a $ of a trapezoid if long base $a = 46.25\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 10.25\, \text{in}$. | 5 |
| 469 | Find the side $ c $ of a trapezoid if long base $a = 46.25\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 10.25\, \text{in}$. | 5 |
| 470 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46.25\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 10.25\, \text{in}$. | 5 |
| 471 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 36\, \text{mm}$ and side $c = 60\, \text{mm}$. | 5 |
| 472 | Find the long base $ a $ of a trapezoid if long base $a = 4.5\, \text{in}$, side $c = 8.5\, \text{in}$ and height $h = 9.5\, \text{in}$. | 5 |
| 473 | Find the short base $ b $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 3\, \text{in}$ and area $A = 26.5\, \text{in}^2$. | 5 |
| 474 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{mm}$, side $c = 18\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 100^o$. | 5 |
| 475 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 2\, \text{mm}$, angle $\alpha = 50^o$ and angle $\beta = 130^o$. | 5 |
| 476 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mi}$, short base $b = 16.25\, \text{cm}$, side $c = 17.56\, \text{cm}$ and height $h = 17.5\, \text{cm}$. | 5 |
| 477 | Find the long base $ a $ of a trapezoid if short base $b = 4.7\, \text{mm}$, height $h = 9.2\, \text{mm}$ and area $A = 76.4\, \text{mm}^2$. | 5 |
| 478 | Find the height $ h $ of a trapezoid if long base $a = 6.4\, \text{mm}$, short base $b = 2.6\, \text{mm}$ and area $A = 21.2\, \text{mm}^2$. | 5 |
| 479 | Find the short base $ b $ of a trapezoid if long base $a = 6.6\, \text{mm}$, height $h = 6\, \text{mm}$ and area $A = 28.8\, \text{mm}^2$. | 5 |
| 480 | Find the area $ A $ of a trapezoid if long base $a = 70.583\, \text{ft}$, short base $b = 52.75\, \text{ft}$ and side $c = 23.25\, \text{ft}$. | 5 |
| 481 | Find the area $ A $ of a trapezoid if long base $a = 101\, \text{ft}$, short base $b = 70.583\, \text{ft}$ and side $c = 24.5\, \text{ft}$. | 5 |
| 482 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$ and side $c = 6\, \text{ft}$. | 5 |
| 483 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, side $c = 2.5\, \text{ft}$ and height $h = 1\, \text{ft}$. | 5 |
| 484 | Find the height $ h $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 2.5\, \text{ft}$ and side $c = 2.5\, \text{ft}$. | 5 |
| 485 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and median $m = 6\, \text{mm}$. | 5 |
| 486 | 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 |
| 487 | 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 |
| 488 | 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 |
| 489 | 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 |
| 490 | 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 |
| 491 | 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 |
| 492 | 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 |
| 493 | 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 |
| 494 | 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 |
| 495 | 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 |
| 496 | 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 |
| 497 | 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 |
| 498 | 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 |
| 499 | Find the angle $ \alpha $ of a trapezoid if long base $a = 17.25\, \text{in}$, short base $b = 16.875\, \text{in}$ and side $c = 11\, \text{in}$. | 5 |
| 500 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 45^o$. | 5 |
