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 height $ h $ of a trapezoid if long base $a = 10$, short base $b = 5$ and side $c = 6$. | 4 |
| 652 | Find the of a trapezoid if long base $a = \frac{ 33 }{ 4 }$, short base $b = \frac{ 33 }{ 8 }$ and side $c = 3$. | 4 |
| 653 | 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 |
| 654 | Find the height $ h $ of a trapezoid if long base $a = 2900$, short base $b = 1300$ and side $c = 1060$. | 4 |
| 655 | 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 |
| 656 | Find the of a trapezoid if long base $a = 42$, short base $b = 36$ and height $h = \frac{ 57 }{ 2 }$. | 4 |
| 657 | Find the long base $ a $ of a trapezoid if short base $b = 18$ and median $m = 25$. | 4 |
| 658 | Find the short base $ b $ of a trapezoid if long base $a = 47$ and median $m = 39$. | 4 |
| 659 | Find the of a trapezoid if long base $a = \frac{ 56 }{ 5 }$, short base $b = 8$ and side $c = 6$. | 4 |
| 660 | 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 |
| 661 | Find the of a trapezoid if long base $a = 35$, short base $b = \frac{ 483 }{ 50 }$ and side $c = 42$. | 4 |
| 662 | 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 |
| 663 | Find the long base $ a $ of a trapezoid if long base $a = 13$, short base $b = 8$ and side $c = 8$. | 4 |
| 664 | Find the angle $ \beta $ of a trapezoid if long base $a = 13$, short base $b = 8$ and side $c = 8$. | 4 |
| 665 | Find the angle $ \beta $ of a trapezoid if long base $a = 350$, short base $b = 300$ and side $c = 230$. | 4 |
| 666 | 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 |
| 667 | 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 |
| 668 | Find the long base $ a $ of a trapezoid if height $h = 100$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 669 | 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 |
| 670 | 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 |
| 671 | 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 |
| 672 | Find the area $ A $ of a trapezoid if short base $b = 1$, side $c = \frac{ 7 }{ 5 }$ and area $A = \frac{ 12 }{ 5 }$. | 4 |
| 673 | 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 |
| 674 | Find the height $ h $ of a trapezoid if long base $a = 1000$, area $A = 327125$ and angle $\alpha = 74^o$. | 4 |
| 675 | 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 |
| 676 | Find the short base $ b $ of a trapezoid if long base $a = 45$, side $c = 25$ and median $m = 25$. | 4 |
| 677 | Find the of a trapezoid if long base $a = 1590$, short base $b = 1480$ and height $h = 145$. | 4 |
| 678 | 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 |
| 679 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = 4$ and area $A = 36$. | 4 |
| 680 | Find the side $ c $ of a trapezoid if long base $a = 18$, short base $b = 12$ and height $h = 12$. | 4 |
| 681 | Find the long base $ a $ of a trapezoid if short base $b = 300$, side $c = 300$ and diagonal $d = 505$. | 4 |
| 682 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 2 }$ and diagonal $d = \frac{ 117 }{ 10 }$. | 4 |
| 683 | Find the of a trapezoid if long base $a = 12$, short base $b = \frac{ 83 }{ 10 }$ and height $h = 7$. | 4 |
| 684 | Find the of a trapezoid if long base $a = \frac{ 2 }{ 5 }$, short base $b = \frac{ 7 }{ 25 }$ and height $h = \frac{ 6 }{ 5 }$. | 4 |
| 685 | Find the long base $ a $ of a trapezoid if diagonal $d = 25$. | 4 |
| 686 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 622 }{ 5 }$, short base $b = \frac{ 2423 }{ 25 }$, side $c = \frac{ 2624 }{ 25 }$, angle $\alpha = 85^o$ and angle $\beta = 96^o$. | 4 |
| 687 | Find the area $ A $ of a trapezoid if long base $a = 26$, short base $b = 16$ and side $c = 13$. | 4 |
| 688 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1 }{ 3 }$, height $h = \frac{ 1 }{ 2 }$ and area $A = 300$. | 4 |
| 689 | Find the area $ A $ of a trapezoid if short base $b = 18$, height $h = 9$ and angle $\alpha = 45^o$. | 4 |
| 690 | Find the area $ A $ of a trapezoid if long base $a = 4$, short base $b = 2$ and side $c = 2$. | 4 |
| 691 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 37 }{ 10 }$, short base $b = \frac{ 3 }{ 2 }$ and side $c = \frac{ 43 }{ 10 }$. | 4 |
| 692 | Find the long base $ a $ of a trapezoid if long base $a = 60$, short base $b = 10$ and height $h = 54$. | 4 |
| 693 | Find the long base $ a $ of a trapezoid if long base $a = 35$, side $c = \frac{ 63 }{ 2 }$ and height $h = \frac{ 123 }{ 4 }$. | 4 |
| 694 | Find the short base $ b $ of a trapezoid if long base $a = 665$, side $c = 966$ and angle $\alpha = 90^o$. | 4 |
| 695 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 24$. | 4 |
| 696 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$ and side $c = 8$. | 4 |
| 697 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 33213 }{ 200 }$, area $A = 1240$ and angle $\alpha = 90^o$. | 4 |
| 698 | Find the of a trapezoid if long base $a = 16$, short base $b = 8$ and side $c = 8$. | 4 |
| 699 | Find the long base $ a $ of a trapezoid if short base $b = 148$ and side $c = 11$. | 4 |
| 700 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 6$ and height $h = 96$. | 4 |
