Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 601 | Find the angle $ \beta $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 8\, \text{mm}$. | 4 |
| 602 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{ft}$, short base $b = 15\, \text{cm}$ and side $c = 11.31\, \text{cm}$. | 4 |
| 603 | Find the short base $ b $ of a trapezoid if long base $a = 20\, \text{cm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 79.2^o$. | 4 |
| 604 | Find the short base $ b $ of a trapezoid if long base $a = 20\, \text{cm}$, height $h = 30\, \text{cm}$ and angle $\alpha = 79.2^o$. | 4 |
| 605 | Find the long base $ a $ of a trapezoid if long base $a = 25.5\, \text{mi}$, short base $b = 22\, \text{cm}$ and side $c = 24\, \text{cm}$. | 4 |
| 606 | Find the short base $ b $ of a trapezoid if long base $a = 56.25\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 607 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 34\, \text{mm}$, side $c = 30\, \text{mm}$ and height $h = 12\, \text{mm}$. | 4 |
| 608 | Find the short base $ b $ of a trapezoid if long base $a = 3.6\, \text{mm}$, height $h = 3\, \text{mm}$ and area $A = 7.5\, \text{mm}^2$. | 4 |
| 609 | Find the long base $ a $ of a trapezoid if long base $a = 70.583\, \text{ft}$, short base $b = 52.75\, \text{ft}$ and side $c = 23.25\, \text{ft}$. | 4 |
| 610 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$ and angle $\alpha = 45^o$. | 4 |
| 611 | Find the long base $ a $ of a trapezoid if long base $a = 20.1\, \text{mm}$, side $c = 6\, \text{cm}$ and angle $\alpha = 60^o$. | 4 |
| 612 | Find the long base $ a $ of a trapezoid if side $c = 11\, \text{cm}$ and diagonal $d = 22\, \text{cm}$. | 4 |
| 613 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{cm}$, short base $b = 5\, \text{cm}$ and height $h = 4\, \text{cm}$. | 4 |
| 614 | Find the long base $ a $ of a trapezoid if long base $a = 86\, \text{mm}$, height $h = 60.5\, \text{mm}$ and angle $\alpha = 46.302^o$. | 4 |
| 615 | Find the short base $ b $ of a trapezoid if long base $a = 86\, \text{mm}$, height $h = 60.5\, \text{mm}$ and angle $\alpha = 46.302^o$. | 4 |
| 616 | Find the short base $ b $ of a trapezoid if long base $a = 83\, \text{in}$ and side $c = 41.5\, \text{in}$. | 4 |
| 617 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$ and angle $\alpha = 70^o$. | 4 |
| 618 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$ and angle $\alpha = 70^o$. | 4 |
| 619 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 3\, \text{ft}$, angle $\alpha = 86^o$ and angle $\beta = 94^o$. | 4 |
| 620 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 3\, \text{ft}$ and angle $\beta = 94^o$. | 4 |
| 621 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 283 }{ 8 }\, \text{in}$, side $c = \frac{ 595 }{ 8 }\, \text{in}$ and height $h = 82\, \text{in}$. | 4 |
| 622 | Find the long base $ a $ of a trapezoid if side $c = 30.9\, \text{cm}$, diagonal $d = 30.9\, \text{cm}$, height $h = 16.4\, \text{cm}$ and area $A = 334.6\, \text{cm}$. | 4 |
| 623 | Find the angle $ \alpha $ of a trapezoid if long base $a = 76.25\, \text{in}$, side $c = 80.125\, \text{in}$ and height $h = 57.25\, \text{in}$. | 4 |
| 624 | Find the long base $ a $ of a trapezoid if short base $b = 10.8801\, \text{cm}$, height $h = 14.3\, \text{cm}$ and angle $\beta = 113^o$. | 4 |
| 625 | Find the long base $ a $ of a trapezoid if long base $a = 185\, \text{cm}$ and side $c = 67\, \text{cm}$. | 4 |
| 626 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$, side $c = 6.4\, \text{mm}$ and diagonal $d = 6.4\, \text{mm}$. | 4 |
| 627 | Find the long base $ a $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 4 |
| 628 | Find the angle $ \beta $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 4 |
| 629 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$ and side $c = 7\, \text{mm}$. | 4 |
| 630 | Find the short base $ b $ of a trapezoid if long base $a = 300\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 631 | Find the long base $ a $ of a trapezoid if height $h = 212.6457\, \text{mm}$, area $A = 144001\, \text{mm}^2$, angle $\alpha = 70.584^o$ and angle $\beta = 19.416^o$. | 4 |
| 632 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$ and height $h = 0.61\, \text{mm}$. | 4 |
| 633 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\beta = 60^o$. | 4 |
| 634 | Find the long base $ a $ of a trapezoid if long base $a = 63.75\, \text{in}$, short base $b = 43.75\, \text{in}$ and side $c = 19.25\, \text{in}$. | 4 |
| 635 | Find the height $ h $ of a trapezoid if long base $a = 162\, \text{mm}$, short base $b = 175.5\, \text{mm}$ and side $c = 218.7\, \text{mm}$. | 4 |
| 636 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 12\, \text{mm}$. | 4 |
| 637 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 3.5\, \text{mm}$. | 4 |
| 638 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 6\, \text{cm}$ and area $A = 121\, \text{cm}$. | 4 |
| 639 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 24\, \text{mm}$. | 4 |
| 640 | Find the angle $ \beta $ of a trapezoid if long base $a = 2464.6\, \text{mm}$, short base $b = 1275.3\, \text{mm}$ and side $c = 1030\, \text{mm}$. | 4 |
| 641 | Find the long base $ a $ of a trapezoid if short base $b = 43\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 642 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 22.5\, \text{ft}$. | 4 |
| 643 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 7\, \text{mm}$ and angle $\alpha = 35^o$. | 4 |
| 644 | Find the area $ A $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 7\, \text{mm}$ and angle $\alpha = 35^o$. | 4 |
| 645 | Find the side $ c $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 30\, \text{in}$. | 4 |
| 646 | Find the angle $ \beta $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 30\, \text{in}$. | 4 |
| 647 | Find the median $ m $ of a trapezoid if long base $a = 25\, \text{cm}$ and short base $b = 17\, \text{cm}$. | 4 |
| 648 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 13\, \text{mm}$. | 4 |
| 649 | Find the long base $ a $ of a trapezoid if long base $a = 4.4166\, \text{ft}$, side $c = 16\, \text{ft}$, height $h = 16\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 650 | Find the area $ A $ of a trapezoid if long base $a = 300\, \text{ft}$, short base $b = 210\, \text{ft}$ and side $c = 190\, \text{ft}$. | 4 |
