Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 651 | Find the side $ c $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 6\, \text{in}$. | 4 |
| 652 | Find the angle $ \alpha $ of a trapezoid if side $c = 2.875\, \text{in}$. | 4 |
| 653 | Find the median $ m $ of a trapezoid if long base $a = 1066.8\, \text{mm}$, short base $b = 812.8\, \text{mm}$ and height $h = 610\, \text{mm}$. | 4 |
| 654 | Find the angle $ \alpha $ of a trapezoid if short base $b = 9\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 33\, \text{in}$. | 4 |
| 655 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 33\, \text{in}$. | 4 |
| 656 | Find the long base $ a $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 96\, \text{in}$ and height $h = 138\, \text{in}$. | 4 |
| 657 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 70\, \text{mm}$ and angle $\alpha = 80^o$. | 4 |
| 658 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, side $c = 24\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 22.5^o$. | 4 |
| 659 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, side $c = 1\, \text{mm}$ and angle $\alpha = 60^o$. | 4 |
| 660 | Find the long base $ a $ of a trapezoid if long base $a = 42100\, \text{mm}$, short base $b = 39400\, \text{mm}$, side $c = 16470\, \text{mm}$ and diagonal $d = 14100\, \text{mm}$. | 4 |
| 661 | Find the angle $ \beta $ of a trapezoid if long base $a = 99\, \text{cm}$, side $c = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 4 |
| 662 | Find the angle $ \alpha $ of a trapezoid if long base $a = 99\, \text{cm}$, short base $b = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 4 |
| 663 | Find the side $ c $ of a trapezoid if long base $a = 99\, \text{cm}$, short base $b = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 4 |
| 664 | Find the short base $ b $ of a trapezoid if long base $a = 11\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 4 |
| 665 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{m}$, short base $b = 4\, \text{m}$, side $c = 10\, \text{m}$ and height $h = 5\, \text{m}$. | 4 |
| 666 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 4 |
| 667 | Find the perimeter $ P $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 10\, \text{mm}$ and height $h = 5\, \text{mm}$. | 4 |
| 668 | Find the long base $ a $ of a trapezoid if long base $a = 11.3125\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 669 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 670 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, height $h = 3\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 671 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, height $h = 3\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 672 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, height $h = 3\, \text{in}$ and angle $\beta = 135^o$. | 4 |
| 673 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 25\, \text{mm}$ and area $A = 1800\, \text{mm}^2$. | 4 |
| 674 | Find the long base $ a $ of a trapezoid if long base $a = 299\, \text{mm}$, short base $b = 228\, \text{mm}$ and height $h = 76\, \text{mm}$. | 4 |
| 675 | Find the long base $ a $ of a trapezoid if long base $a = 1605\, \text{mm}$, short base $b = 495\, \text{mm}$ and side $c = 915\, \text{mm}$. | 4 |
| 676 | Find the height $ h $ of a trapezoid if long base $a = 232.25\, \text{mm}$, short base $b = 200.68\, \text{mm}$ and side $c = 47.24\, \text{mm}$. | 4 |
| 677 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$ and side $c = 2\, \text{in}$. | 4 |
| 678 | Find the short base $ b $ of a trapezoid if long base $a = 4\, \text{in}$ and side $c = 2\, \text{in}$. | 4 |
| 679 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 5\, \text{mm}$. | 4 |
| 680 | Find the long base $ a $ of a trapezoid if height $h = 6\, \text{mm}$, angle $\alpha = 83^o$ and angle $\beta = 97^o$. | 4 |
| 681 | Find the long base $ a $ of a trapezoid if short base $b = 13.4\, \text{mm}$, height $h = 22\, \text{mm}$ and angle $\alpha = 83^o$. | 4 |
| 682 | Find the long base $ a $ of a trapezoid if short base $b = 18.8\, \text{mm}$, height $h = 22\, \text{mm}$ and angle $\alpha = 83^o$. | 4 |
| 683 | Find the long base $ a $ of a trapezoid if long base $a = 4.4\, \text{mm}$, short base $b = 8\, \text{mm}$, diagonal $d = 6.8\, \text{mm}$ and height $h = 2.8\, \text{mm}$. | 4 |
| 684 | Find the long base $ a $ of a trapezoid if long base $a = 4.4\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 2.8\, \text{mm}$. | 4 |
| 685 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 15\, \text{in}$. | 4 |
| 686 | Find the side $ c $ of a trapezoid if long base $a = 21\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 15\, \text{in}$. | 4 |
| 687 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 9\, \text{m}$ and angle $\alpha = 37^o$. | 4 |
| 688 | Find the diagonal $ d $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 9\, \text{m}$ and angle $\alpha = 37^o$. | 4 |
| 689 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{ft}$, height $h = 22\, \text{ft}$ and area $A = 1265\, \text{mm}^2$. | 4 |
| 690 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{ft}$, height $h = 22\, \text{ft}$ and area $A = 1265\, \text{ft}^2$. | 4 |
| 691 | Find the side $ c $ of a trapezoid if short base $b = 54\, \text{ft}$, height $h = 22\, \text{ft}$ and area $A = 1265\, \text{ft}^2$. | 4 |
| 692 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 5\, \text{mm}$, side $c = 5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 693 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$ and side $c = 5.87\, \text{in}$. | 4 |
| 694 | Find the short base $ b $ of a trapezoid if long base $a = 300\, \text{cm}$, side $c = 105\, \text{cm}$ and angle $\alpha = 35^o$. | 4 |
| 695 | Find the long base $ a $ of a trapezoid if long base $a = 164\, \text{mm}$, short base $b = 156.4\, \text{mm}$, side $c = 54\, \text{mm}$, height $h = 164\, \text{mm}$ and perimeter $P = 394.4\, \text{cm}$. | 4 |
| 696 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 4 |
| 697 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, angle $\alpha = 158^o$ and angle $\beta = 22^o$. | 4 |
| 698 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 158^o$. | 4 |
| 699 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, side $c = 1\, \text{mm}$ and diagonal $d = 1\, \text{mm}$. | 4 |
| 700 | Find the angle $ \alpha $ of a trapezoid if long base $a = 310\, \text{mm}$, short base $b = 280\, \text{mm}$ and height $h = 45\, \text{mm}$. | 4 |
