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 $a = 143\, \text{in}$, height $h = 9.6563\, \text{ft}$ and angle $\alpha = 60^o$. | 5 |
| 452 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, side $c = 20\, \text{mm}$ and height $h = 19\, \text{mm}$. | 5 |
| 453 | Find the area $ A $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$ and angle $\beta = 10^o$. | 5 |
| 454 | Find the angle $ \alpha $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 10^o$. | 5 |
| 455 | Find the area $ A $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 10^o$. | 5 |
| 456 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 5 |
| 457 | Find the long base $ a $ of a trapezoid if long base $a = 0.25\, \text{mm}$, short base $b = 0.01\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 5 |
| 458 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, side $c = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 459 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, side $c = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 460 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 461 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 462 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 58\, \text{in}$. | 5 |
| 463 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{in}$, side $c = 72\, \text{in}$ and median $m = 72\, \text{in}$. | 5 |
| 464 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 10\, \text{mm}$ and diagonal $d = 10\, \text{mm}$. | 5 |
| 465 | Find the long base $ a $ of a trapezoid if long base $a = 2.5\, \text{mm}$, short base $b = 1.75\, \text{cm}$, side $c = 2\, \text{cm}$ and height $h = 2\, \text{cm}$. | 5 |
| 466 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{ft}$, side $c = 6\, \text{ft}$ and area $A = 5\, \text{ft}^2$. | 5 |
| 467 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{mm}$ and median $m = 19\, \text{cm}$. | 5 |
| 468 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{m}$, side $c = 0.5\, \text{m}$ and height $h = 2\, \text{m}$. | 5 |
| 469 | Find the long base $ a $ of a trapezoid if side $c = 84\, \text{in}$, height $h = 84\, \text{in}$, median $m = 84\, \text{in}$ and angle $\alpha = 90^o$. | 5 |
| 470 | Find the long base $ a $ of a trapezoid if height $h = 84\, \text{in}$, median $m = 84\, \text{in}$ and angle $\alpha = 90^o$. | 5 |
| 471 | Find the angle $ \beta $ of a trapezoid if long base $a = 4.1\, \text{m}$ and short base $b = 2.9\, \text{m}$. | 5 |
| 472 | Find the long base $ a $ of a trapezoid if long base $a = 1390000\, \text{mm}$, height $h = 148500000\, \text{mm}$ and angle $\alpha = 89.737^o$. | 5 |
| 473 | Find the side $ c $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 4\, \text{in}$. | 5 |
| 474 | Find the area $ A $ of a trapezoid if long base $a = 35\, \text{ft}$, short base $b = 26\, \text{ft}$ and height $h = 12.3\, \text{ft}$. | 5 |
| 475 | Find the long base $ a $ of a trapezoid if long base $a = 15.5\, \text{in}$, short base $b = 10\, \text{in}$, side $c = 6\, \text{in}$ and angle $\alpha = 90^o$. | 5 |
| 476 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 12.5\, \text{in}$ and angle $\alpha = 45^o$. | 5 |
| 477 | Find the angle $ \beta $ of a trapezoid if long base $a = 95\, \text{cm}$, short base $b = 45\, \text{cm}$, side $c = 45\, \text{cm}$ and angle $\alpha = 56.251^o$. | 5 |
| 478 | Find the angle $ \alpha $ of a trapezoid if long base $a = 13.5\, \text{in}$, short base $b = 13.25\, \text{in}$ and height $h = 10.5\, \text{in}$. | 5 |
| 479 | Find the long base $ a $ of a trapezoid if short base $b = 600\, \text{mm}$, side $c = 3150\, \text{mm}$ and height $h = 2850\, \text{mm}$. | 5 |
| 480 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 1\, \text{mm}$ and side $c = 3\, \text{mm}$. | 5 |
| 481 | Find the angle $ \alpha $ of a trapezoid if long base $a = 33.24\, \text{mm}$, short base $b = 32.2\, \text{mm}$ and height $h = 21\, \text{mm}$. | 5 |
| 482 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 45^o$. | 5 |
| 483 | Find the long base $ a $ of a trapezoid if long base $a = 79\, \text{in}$, side $c = 36\, \text{in}$ and height $h = 25\, \text{in}$. | 5 |
| 484 | Find the height $ h $ of a trapezoid if long base $a = 63\, \text{in}$, short base $b = 25\, \text{in}$ and side $c = 25\, \text{in}$. | 5 |
| 485 | Find the long base $ a $ of a trapezoid if short base $b = 0.5\, \text{in}$, side $c = 1.25\, \text{in}$, angle $\alpha = 55^o$ and angle $\beta = 145^o$. | 5 |
| 486 | Find the long base $ a $ of a trapezoid if short base $b = 0.5\, \text{in}$, angle $\alpha = 35^o$ and angle $\beta = 145^o$. | 5 |
| 487 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{cm}$, short base $b = 60\, \text{cm}$ and height $h = 24\, \text{cm}$. | 5 |
| 488 | Find the short base $ b $ of a trapezoid if height $h = 25.5\, \text{in}$, median $m = 55.75\, \text{in}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 5 |
| 489 | Find the long base $ a $ of a trapezoid if side $c = 25.5\, \text{in}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 5 |
| 490 | Find the long base $ a $ of a trapezoid if short base $b = 200\, \text{mm}$, diagonal $d = 206\, \text{mm}$ and height $h = 50\, \text{mm}$. | 5 |
| 491 | Find the short base $ b $ of a trapezoid if long base $a = 185\, \text{cm}$, side $c = 75\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 492 | Find the long base $ a $ of a trapezoid if long base $a = 32.75\, \text{in}$, short base $b = 16.25\, \text{in}$ and side $c = 17.75\, \text{in}$. | 5 |
| 493 | Find the angle $ \beta $ of a trapezoid if long base $a = 70\, \text{cm}$, short base $b = 64\, \text{cm}$ and side $c = 70\, \text{mm}$. | 5 |
| 494 | Find the angle $ \alpha $ of a trapezoid if long base $a = 84.5\, \text{in}$, short base $b = 29.25\, \text{in}$, side $c = 73.75\, \text{in}$ and angle $\beta = 90^o$. | 5 |
| 495 | Find the angle $ \beta $ of a trapezoid if long base $a = 50.8\, \text{mm}$, short base $b = 38.1\, \text{mm}$, side $c = 31.75\, \text{mm}$ and angle $\alpha = 78.463^o$. | 5 |
| 496 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{ft}$, side $c = 10\, \text{ft}$, height $h = 8\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 497 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 16\, \text{mm}$ and height $h = 16\, \text{mm}$. | 5 |
| 498 | Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 16\, \text{mm}$ and height $h = 16\, \text{mm}$. | 5 |
| 499 | Find the height $ h $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 28\, \text{mm}$ and median $m = 80\, \text{mm}$. | 5 |
| 500 | Find the area $ A $ of a trapezoid if long base $a = 2.87\, \text{mm}$, short base $b = 1.57\, \text{mm}$ and side $c = 4.542\, \text{mm}$. | 5 |
