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 long base $ a $ of a trapezoid if long base $a = 10$, height $h = 6$ and area $A = 42$. | 4 |
| 652 | Find the long base $ a $ of a trapezoid if short base $b = 40$, height $h = 10$ and angle $\alpha = 30^o$. | 4 |
| 653 | Find the height $ h $ of a trapezoid if long base $a = 96$ and angle $\alpha = 70^o$. | 4 |
| 654 | Find the short base $ b $ of a trapezoid if long base $a = 96$, side $c = 63$, height $h = 60$ and angle $\alpha = 70^o$. | 4 |
| 655 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 69 }{ 4 }$, side $c = \frac{ 33 }{ 2 }$ and height $h = \frac{ 33 }{ 2 }$. | 4 |
| 656 | Find the height $ h $ of a trapezoid if long base $a = 60$, short base $b = 36$ and side $c = 45$. | 4 |
| 657 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 12$, side $c = 1314$ and height $h = 11$. | 4 |
| 658 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 9 }{ 2 }$, height $h = 6$ and area $A = \frac{ 69 }{ 2 }$. | 4 |
| 659 | Find the area $ A $ of a trapezoid if short base $b = 6$, side $c = 15$ and height $h = 12$. | 4 |
| 660 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 33 }{ 5 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = \frac{ 53 }{ 10 }$. | 4 |
| 661 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 33 }{ 5 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 4$. | 4 |
| 662 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 39 }{ 5 }$, short base $b = \frac{ 16 }{ 5 }$ and side $c = \frac{ 42 }{ 5 }$. | 4 |
| 663 | Find the of a trapezoid if long base $a = 19$, short base $b = \frac{ 65 }{ 4 }$ and side $c = \frac{ 439 }{ 25 }$. | 4 |
| 664 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 39 }{ 250 }$, short base $b = \frac{ 7 }{ 100 }$ and height $h = \frac{ 99 }{ 500 }$. | 4 |
| 665 | Find the long base $ a $ of a trapezoid if long base $a = 1$, short base $b = \frac{ 1 }{ 2 }$ and height $h = 4$. | 4 |
| 666 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 6$ and area $A = 121$. | 4 |
| 667 | Find the area $ A $ of a trapezoid if long base $a = 36$, side $c = 18$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 668 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 23019 }{ 1000 }$, height $h = \frac{ 143 }{ 10 }$ and angle $\alpha = 67^o$. | 4 |
| 669 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = 5$ and side $c = 6$. | 4 |
| 670 | Find the of a trapezoid if long base $a = \frac{ 33 }{ 4 }$, short base $b = \frac{ 33 }{ 8 }$ and side $c = 3$. | 4 |
| 671 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 108801 }{ 10000 }$, height $h = \frac{ 143 }{ 10 }$ and angle $\beta = 113^o$. | 4 |
| 672 | Find the height $ h $ of a trapezoid if long base $a = 2900$, short base $b = 1300$ and side $c = 1060$. | 4 |
| 673 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 309 }{ 10 }$, diagonal $d = \frac{ 309 }{ 10 }$, height $h = \frac{ 82 }{ 5 }$ and area $A = \frac{ 1673 }{ 5 }$. | 4 |
| 674 | Find the of a trapezoid if long base $a = 42$, short base $b = 36$ and height $h = \frac{ 57 }{ 2 }$. | 4 |
| 675 | Find the long base $ a $ of a trapezoid if short base $b = 18$ and median $m = 25$. | 4 |
| 676 | Find the short base $ b $ of a trapezoid if long base $a = 47$ and median $m = 39$. | 4 |
| 677 | Find the of a trapezoid if long base $a = \frac{ 56 }{ 5 }$, short base $b = 8$ and side $c = 6$. | 4 |
| 678 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = \frac{ 241 }{ 100 }$ and height $h = \frac{ 193 }{ 100 }$. | 4 |
| 679 | Find the of a trapezoid if long base $a = 35$, short base $b = \frac{ 483 }{ 50 }$ and side $c = 42$. | 4 |
| 680 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and angle $\alpha = 45^o$. | 4 |
| 681 | Find the long base $ a $ of a trapezoid if long base $a = 13$, short base $b = 8$ and side $c = 8$. | 4 |
| 682 | Find the angle $ \beta $ of a trapezoid if long base $a = 13$, short base $b = 8$ and side $c = 8$. | 4 |
| 683 | Find the angle $ \beta $ of a trapezoid if long base $a = 350$, short base $b = 300$ and side $c = 230$. | 4 |
| 684 | Find the long base $ a $ of a trapezoid if long base $a = 40$, short base $b = 20$, height $h = 20$ and angle $\beta = 45^o$. | 4 |
| 685 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1491 }{ 16 }$, short base $b = \frac{ 323 }{ 4 }$ and side $c = 24$. | 4 |
| 686 | Find the long base $ a $ of a trapezoid if height $h = 100$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 687 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 371 }{ 2 }$, short base $b = \frac{ 61 }{ 8 }$ and side $c = \frac{ 363 }{ 8 }$. | 4 |
| 688 | Find the of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = \frac{ 19 }{ 10 }$ and side $c = \frac{ 27 }{ 10 }$. | 4 |
| 689 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 5107 }{ 100 }$, height $h = \frac{ 9591 }{ 50 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 4 |
| 690 | Find the area $ A $ of a trapezoid if short base $b = 1$, side $c = \frac{ 7 }{ 5 }$ and area $A = \frac{ 12 }{ 5 }$. | 4 |
| 691 | Find the long base $ a $ of a trapezoid if short base $b = 77$, side $c = \frac{ 119 }{ 16 }$ and height $h = \frac{ 21 }{ 4 }$. | 4 |
| 692 | Find the height $ h $ of a trapezoid if long base $a = 1000$, area $A = 327125$ and angle $\alpha = 74^o$. | 4 |
| 693 | Find the height $ h $ of a trapezoid if long base $a = 1000$, area $A = 327125$, angle $\alpha = 74^o$ and angle $\beta = 106^o$. | 4 |
| 694 | Find the short base $ b $ of a trapezoid if long base $a = 45$, side $c = 25$ and median $m = 25$. | 4 |
| 695 | Find the of a trapezoid if long base $a = 1590$, short base $b = 1480$ and height $h = 145$. | 4 |
| 696 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 59 }{ 4 }$, short base $b = \frac{ 55 }{ 4 }$ and height $h = \frac{ 147 }{ 16 }$. | 4 |
| 697 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = 4$ and area $A = 36$. | 4 |
| 698 | Find the side $ c $ of a trapezoid if long base $a = 18$, short base $b = 12$ and height $h = 12$. | 4 |
| 699 | Find the long base $ a $ of a trapezoid if short base $b = 300$, side $c = 300$ and diagonal $d = 505$. | 4 |
| 700 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 2 }$ and diagonal $d = \frac{ 117 }{ 10 }$. | 4 |
