Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 16001 | Find the long base $ a $ of a trapezoid if long base $a = 144$, short base $b = 108$ and side $c = 48$. | 1 |
| 16002 | Find the angle $ \beta $ of a trapezoid if long base $a = 144$, short base $b = 108$ and side $c = 48$. | 1 |
| 16003 | Find the of a trapezoid if long base $a = 144$, short base $b = 108$ and side $c = 48$. | 1 |
| 16004 | Find the of a trapezoid if long base $a = 84$, short base $b = 74$ and side $c = \frac{ 65 }{ 2 }$. | 1 |
| 16005 | Find the angle $ \beta $ of a trapezoid if long base $a = 84$, short base $b = 74$ and side $c = \frac{ 65 }{ 2 }$. | 1 |
| 16006 | Find the side $ c $ of a trapezoid if long base $a = 84$, short base $b = 74$, angle $\alpha = 68^o$ and angle $\beta = 112^o$. | 1 |
| 16007 | Find the side $ c $ of a trapezoid if long base $a = 84$, side $c = 32$ and angle $\alpha = 68^o$. | 1 |
| 16008 | Find the short base $ b $ of a trapezoid if long base $a = 84$, side $c = 32$ and angle $\alpha = 68^o$. | 1 |
| 16009 | Find the long base $ a $ 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 $P = \frac{ 135 }{ 8 }$. | 1 |
| 16010 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 23 }{ 2 }$, side $c = \frac{ 97 }{ 4 }$, height $h = 24$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 1 |
| 16011 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 7$ and side $c = \frac{ 587 }{ 100 }$. | 1 |
| 16012 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = 7$ and side $c = \frac{ 587 }{ 100 }$. | 1 |
| 16013 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 117 }{ 10 }$, side $c = 6$ and angle $\alpha = 60^o$. | 1 |
| 16014 | Find the of a trapezoid if long base $a = 120$, short base $b = 100$ and height $h = 220$. | 1 |
| 16015 | Find the long base $ a $ of a trapezoid if long base $a = 20$, height $h = 18$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 16016 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 3$, height $h = 18$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 16017 | Find the side $ c $ of a trapezoid if long base $a = 15$ and short base $b = 7$. | 1 |
| 16018 | Find the side $ c $ of a trapezoid if long base $a = 15$, short base $b = 7$ and height $h = 92$. | 1 |
| 16019 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 22$ and angle $\beta = 105^o$. | 1 |
| 16020 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 26$ and angle $\beta = 105^o$. | 1 |
| 16021 | Find the long base $ a $ of a trapezoid if long base $a = 200$, short base $b = 120$ and side $c = 220$. | 1 |
| 16022 | Find the of a trapezoid if long base $a = 20$, short base $b = 10$, side $c = 27$, height $h = \frac{ 25 }{ 2 }$ and angle $\beta = 45^o$. | 1 |
| 16023 | Find the of a trapezoid if long base $a = 20$, short base $b = 10$ and height $h = \frac{ 25 }{ 2 }$. | 1 |
| 16024 | Find the long base $ a $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 1 }{ 10 }$ and median $m = \frac{ 3 }{ 2 }$. | 1 |
| 16025 | Find the side $ c $ of a trapezoid if long base $a = 3$, short base $b = 1$, height $h = 3$ and median $m = \frac{ 3 }{ 2 }$. | 1 |
| 16026 | Find the side $ c $ of a trapezoid if long base $a = 3$, height $h = 3$ and median $m = \frac{ 3 }{ 2 }$. | 1 |
| 16027 | Find the side $ c $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 1 }{ 4 }$, height $h = 3$ and median $m = \frac{ 3 }{ 2 }$. | 1 |
| 16028 | Find the long base $ a $ of a trapezoid if side $c = 10$ and angle $\alpha = 110^o$. | 1 |
| 16029 | Find the short base $ b $ of a trapezoid if long base $a = 335$ and height $h = \frac{ 19 }{ 25 }$. | 1 |
| 16030 | Find the short base $ b $ of a trapezoid if long base $a = 335$, height $h = \frac{ 19 }{ 25 }$, angle $\alpha = \frac{ 77631 }{ 1000 }^o$ and angle $\beta = \frac{ 102369 }{ 1000 }^o$. | 1 |
| 16031 | Find the short base $ b $ of a trapezoid if long base $a = 335$, short base $b = 235$ and height $h = 456$. | 1 |
| 16032 | Find the of a trapezoid if long base $a = 335$, short base $b = 235$ and height $h = 456$. | 1 |
| 16033 | Find the of a trapezoid if long base $a = 335$, short base $b = 235$ and height $h = 456$. | 1 |
| 16034 | Find the angle $ \beta $ of a trapezoid if long base $a = 335$, short base $b = 235$ and height $h = 456$. | 1 |
| 16035 | Find the of a trapezoid if long base $a = 335$, short base $b = 356$ and height $h = 456$. | 1 |
| 16036 | Find the of a trapezoid if long base $a = \frac{ 67 }{ 20 }$, short base $b = \frac{ 47 }{ 20 }$ and height $h = \frac{ 114 }{ 25 }$. | 1 |
| 16037 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 8793 }{ 500 }$, height $h = \frac{ 31 }{ 10 }$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 16038 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 4$ and diagonal $d = 3$. | 1 |
| 16039 | Find the long base $ a $ of a trapezoid if long base $a = 28$, short base $b = 44$, side $c = 17$ and diagonal $d = 17$. | 1 |
| 16040 | Find the long base $ a $ of a trapezoid if long base $a = 28$, short base $b = 44$ and side $c = 17$. | 1 |
| 16041 | Find the area $ A $ of a trapezoid if long base $a = 28$, short base $b = 44$ and side $c = 17$. | 1 |
| 16042 | Find the height $ h $ of a trapezoid if long base $a = 25$, short base $b = 7$, angle $\alpha = \frac{ 125 }{ 2 }^o$ and angle $\beta = \frac{ 235 }{ 2 }^o$. | 1 |
| 16043 | Find the height $ h $ of a trapezoid if long base $a = 25$, short base $b = 7$ and angle $\alpha = \frac{ 125 }{ 2 }^o$. | 1 |
| 16044 | Find the long base $ a $ of a trapezoid if short base $b = 50$ and side $c = 30$. | 1 |
| 16045 | Find the short base $ b $ of a trapezoid if long base $a = 1$, area $A = \frac{ 33 }{ 25 }$ and angle $\alpha = 85^o$. | 1 |
| 16046 | Find the height $ h $ of a trapezoid if long base $a = 1$, area $A = \frac{ 33 }{ 25 }$ and angle $\alpha = 85^o$. | 1 |
| 16047 | Find the side $ c $ of a trapezoid if long base $a = 6$, short base $b = 4$ and diagonal $d = 10$. | 1 |
| 16048 | Find the height $ h $ of a trapezoid if long base $a = 6$, short base $b = 4$ and diagonal $d = 10$. | 1 |
| 16049 | Find the side $ c $ of a trapezoid if long base $a = 64$ and short base $b = 36$. | 1 |
| 16050 | Find the height $ h $ of a trapezoid if side $c = 34$, perimeter $P = 114$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |