Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5701 | Find the of a trapezoid if long base $a = 1036$, short base $b = 500$ and height $h = 400$. | 2 |
| 5702 | Find the side $ c $ of a trapezoid if short base $b = 500$, height $h = 400$ and angle $\alpha = \frac{ 2737 }{ 50 }^o$. | 2 |
| 5703 | Find the long base $ a $ of a trapezoid if long base $a = 25$, height $h = \frac{ 15 }{ 2 }$, area $A = 60$ and angle $\alpha = 120^o$. | 2 |
| 5704 | Find the long base $ a $ of a trapezoid if long base $a = 25$, height $h = \frac{ 15 }{ 2 }$ and area $A = 60$. | 2 |
| 5705 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 143 }{ 5 }$, short base $b = \frac{ 116 }{ 5 }$ and side $c = \frac{ 21 }{ 2 }$. | 2 |
| 5706 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = 7$ and angle $\alpha = 45^o$. | 2 |
| 5707 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 20$ and height $h = 4$. | 2 |
| 5708 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 20$, height $h = 4$ and median $m = 22$. | 2 |
| 5709 | Find the of a trapezoid if long base $a = 1$, short base $b = \frac{ 3 }{ 4 }$ and height $h = \frac{ 17 }{ 8 }$. | 2 |
| 5710 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 9 }{ 4 }$, short base $b = \frac{ 27 }{ 20 }$, side $c = \frac{ 9 }{ 4 }$, height $h = \frac{ 9 }{ 4 }$ and angle $\alpha = 90^o$. | 2 |
| 5711 | Find the long base $ a $ of a trapezoid if long base $a = 96$, side $c = 12$, height $h = 12$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5712 | Find the short base $ b $ of a trapezoid if long base $a = 96$, side $c = 12$, height $h = 12$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5713 | Find the long base $ a $ of a trapezoid if long base $a = 10$, height $h = 2 \sqrt{ 3 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5714 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 12$ and height $h = 16$. | 2 |
| 5715 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 2$, side $c = 5$ and diagonal $d = 5$. | 2 |
| 5716 | Find the long base $ a $ of a trapezoid if long base $a = 53$, short base $b = 25$ and side $c = 72$. | 2 |
| 5717 | Find the side $ c $ of a trapezoid if long base $a = 140$, short base $b = 115$, area $A = \frac{ 325779 }{ 100 }$, angle $\alpha = \frac{ 2114 }{ 25 }^o$ and angle $\beta = \frac{ 47717 }{ 500 }^o$. | 2 |
| 5718 | Find the side $ c $ of a trapezoid if long base $a = 140$, short base $b = 115$, side $c = 35$, area $A = \frac{ 325779 }{ 100 }$, angle $\alpha = \frac{ 2114 }{ 25 }^o$ and angle $\beta = \frac{ 47717 }{ 500 }^o$. | 2 |
| 5719 | Find the short base $ b $ of a trapezoid if long base $a = 140$, short base $b = 115$, side $c = 35$, area $A = \frac{ 325779 }{ 100 }$, angle $\alpha = \frac{ 2114 }{ 25 }^o$ and angle $\beta = \frac{ 47717 }{ 500 }^o$. | 2 |
| 5720 | Find the angle $ \beta $ of a trapezoid if long base $a = 505$, short base $b = 500$ and side $c = 225$. | 2 |
| 5721 | Find the side $ c $ of a trapezoid if long base $a = 4095$, short base $b = 1695$ and angle $\beta = 135^o$. | 2 |
| 5722 | Find the long base $ a $ of a trapezoid if long base $a = 875$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 225 }{ 2 }^o$. | 2 |
| 5723 | Find the short base $ b $ of a trapezoid if long base $a = 23$, side $c = 20$ and angle $\alpha = 73^o$. | 2 |
| 5724 | Find the long base $ a $ of a trapezoid if long base $a = 12$ and short base $b = 8$. | 2 |
| 5725 | Find the long base $ a $ of a trapezoid if long base $a = 68$, short base $b = 56$ and height $h = 24$. | 2 |
| 5726 | Find the height $ h $ of a trapezoid if long base $a = 48$, short base $b = 42$ and area $A = 225$. | 2 |
| 5727 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 62 }{ 5 }$, short base $b = 10$ and area $A = \frac{ 1456 }{ 25 }$. | 2 |
| 5728 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 22 }{ 5 }$, short base $b = \frac{ 19 }{ 5 }$ and height $h = 13$. | 2 |
| 5729 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 2$ and height $h = 3$. | 2 |
| 5730 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 17 }{ 2 }$, short base $b = 5$ and height $h = 60$. | 2 |
| 5731 | Find the long base $ a $ of a trapezoid if short base $b = 2$, side $c = \sqrt{ 29 }$ and height $h = 5$. | 2 |
| 5732 | Find the long base $ a $ of a trapezoid if long base $a = 20$, side $c = 12$ and diagonal $d = 16$. | 2 |
| 5733 | Find the height $ h $ of a trapezoid if long base $a = 4$, short base $b = 2$ and median $m = 3$. | 2 |
| 5734 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 31 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 155^o$. | 2 |
| 5735 | Find the long base $ a $ of a trapezoid if short base $b = 48$, height $h = \frac{ 1 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 5736 | Find the height $ h $ of a trapezoid if short base $b = 48$, height $h = \frac{ 1 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 5737 | Find the height $ h $ of a trapezoid if long base $a = 144$, short base $b = 108$ and side $c = 48$. | 2 |
| 5738 | Find the height $ h $ of a trapezoid if long base $a = 84$, short base $b = 74$ and side $c = 32$. | 2 |
| 5739 | Find the of a trapezoid if long base $a = 84$, short base $b = 74$ and side $c = 32$. | 2 |
| 5740 | Find the side $ c $ of a trapezoid if long base $a = 84$, short base $b = 74$ and angle $\alpha = 68^o$. | 2 |
| 5741 | Find the side $ c $ of a trapezoid if long base $a = 84$, short base $b = 74$ and angle $\beta = 112^o$. | 2 |
| 5742 | Find the long base $ a $ of a trapezoid if short base $b = 20$ and side $c = \frac{ 39 }{ 2 }$. | 2 |
| 5743 | Find the diagonal $ d $ of a trapezoid if long base $a = 5$, height $h = 6$ and angle $\alpha = 90^o$. | 2 |
| 5744 | Find the of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = \frac{ 43 }{ 8 }$, side $c = \frac{ 5 }{ 2 }$, diagonal $d = \frac{ 13 }{ 2 }$, height $h = \frac{ 3 }{ 2 }$, area $A = \frac{ 339 }{ 32 }$ and perimeter $P = \frac{ 135 }{ 8 }$. | 2 |
| 5745 | Find the of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = \frac{ 43 }{ 8 }$ and height $h = \frac{ 3 }{ 2 }$. | 2 |
| 5746 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 23 }{ 2 }$, height $h = 24$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 2 |
| 5747 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 2 }$, side $c = 3$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5748 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = 6$ and side $c = \frac{ 11 }{ 2 }$. | 2 |
| 5749 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 547 }{ 10 }$ and short base $b = 54$. | 2 |
| 5750 | Find the long base $ a $ of a trapezoid if short base $b = 40$, side $c = \frac{ 7 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
