Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7001 | Find the height $ h $ of a trapezoid if short base $b = \frac{ 33213 }{ 200 }$, area $A = 1240$ and angle $\beta = 90^o$. | 1 |
| 7002 | Find the long base $ a $ of a trapezoid if side $c = 4$, height $h = \frac{ 26 }{ 5 }$ and area $A = 26$. | 1 |
| 7003 | Find the of a trapezoid if long base $a = \frac{ 41 }{ 5 }$, short base $b = \frac{ 31 }{ 5 }$ and side $c = 4$. | 1 |
| 7004 | Find the diagonal $ d $ of a trapezoid if long base $a = 20$, short base $b = 10$ and side $c = 40$. | 1 |
| 7005 | Find the of a trapezoid if long base $a = 16$ and side $c = 8$. | 1 |
| 7006 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 95 }{ 4 }$, short base $b = 2375$, height $h = \frac{ 83 }{ 16 }$ and angle $\beta = \frac{ 183 }{ 2 }^o$. | 1 |
| 7007 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 95 }{ 4 }$, height $h = \frac{ 83 }{ 16 }$ and angle $\beta = \frac{ 183 }{ 2 }^o$. | 1 |
| 7008 | Find the height $ h $ of a trapezoid if long base $a = 22$, short base $b = 16$ and angle $\alpha = \frac{ 8377 }{ 100 }^o$. | 1 |
| 7009 | Find the long base $ a $ of a trapezoid if long base $a = 19$, short base $b = 17$ and angle $\beta = 90^o$. | 1 |
| 7010 | Find the long base $ a $ of a trapezoid if long base $a = 16$, side $c = 8$ and angle $\alpha = 45^o$. | 1 |
| 7011 | Find the short base $ b $ of a trapezoid if long base $a = 16$, short base $b = 8$ and side $c = 8$. | 1 |
| 7012 | Find the of a trapezoid if long base $a = 16$, short base $b = 10$ and side $c = 8$. | 1 |
| 7013 | Find the short base $ b $ of a trapezoid if short base $b = \frac{ 33213 }{ 200 }$, area $A = 1240$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7014 | Find the area $ A $ of a trapezoid if long base $a = 56$, short base $b = 30$, side $c = 16$ and height $h = 12$. | 1 |
| 7015 | Find the short base $ b $ of a trapezoid if long base $a = 50$, height $h = \frac{ 7 }{ 2 }$ and angle $\alpha = 74^o$. | 1 |
| 7016 | Find the long base $ a $ of a trapezoid if short base $b = 50$, height $h = \frac{ 7 }{ 2 }$ and angle $\alpha = 74^o$. | 1 |
| 7017 | Find the side $ c $ of a trapezoid if long base $a = 7$, short base $b = 5$ and height $h = 15$. | 1 |
| 7018 | Find the long base $ a $ of a trapezoid if long base $a = 10$ and area $A = 72$. | 1 |
| 7019 | Find the long base $ a $ of a trapezoid if angle $\beta = 130^o$. | 1 |
| 7020 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$. | 1 |
| 7021 | Find the long base $ a $ of a trapezoid if short base $b = 149$, side $c = 900$ and angle $\beta = 90^o$. | 1 |
| 7022 | Find the side $ c $ of a trapezoid if long base $a = 24$ and short base $b = 6$. | 1 |
| 7023 | Find the long base $ a $ of a trapezoid if long base $a = 20$, height $h = 23$, angle $\alpha = 96^o$ and angle $\beta = 84^o$. | 1 |
| 7024 | Find the long base $ a $ of a trapezoid if height $h = 1$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 225 }{ 2 }^o$. | 1 |
| 7025 | Find the short base $ b $ of a trapezoid if height $h = 1$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 225 }{ 2 }^o$. | 1 |
| 7026 | Find the short base $ b $ of a trapezoid if short base $b = \frac{ 6213 }{ 5000 }$, height $h = 1$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 225 }{ 2 }^o$. | 1 |
| 7027 | Find the long base $ a $ of a trapezoid if short base $b = 48$, side $c = 32$ and height $h = 32$. | 1 |
| 7028 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1212693 }{ 100000 }$, short base $b = \frac{ 47 }{ 4 }$, side $c = 3$, diagonal $d = 6$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7029 | Find the median $ m $ of a trapezoid if long base $a = 12$ and short base $b = 6$. | 1 |
| 7030 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 9 }{ 2 }$, short base $b = \frac{ 7 }{ 2 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7031 | Find the side $ c $ of a trapezoid if long base $a = 60$, height $h = 30$ and angle $\alpha = 84^o$. | 1 |
| 7032 | Find the median $ m $ of a trapezoid if long base $a = 60$, height $h = 30$ and angle $\alpha = 84^o$. | 1 |
| 7033 | Find the long base $ a $ of a trapezoid if short base $b = 60$, height $h = 19$ and angle $\alpha = 84^o$. | 1 |
| 7034 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 30$ and angle $\alpha = 84^o$. | 1 |
| 7035 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = \frac{ 37 }{ 2 }$ and angle $\alpha = \frac{ 843 }{ 10 }^o$. | 1 |
| 7036 | Find the height $ h $ of a trapezoid if long base $a = 77$, short base $b = \frac{ 75 }{ 2 }$, side $c = 28$ and diagonal $d = \frac{ 575 }{ 2 }$. | 1 |
| 7037 | Find the height $ h $ of a trapezoid if long base $a = 77$, short base $b = \frac{ 75 }{ 2 }$ and side $c = \frac{ 111 }{ 4 }$. | 1 |
| 7038 | Find the of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, short base $b = \frac{ 3 }{ 4 }$ and height $h = 5$. | 1 |
| 7039 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 59$, side $c = 3$, height $h = 2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 7040 | Find the long base $ a $ of a trapezoid if long base $a = 19$, height $h = \frac{ 153 }{ 10 }$ and angle $\beta = 99^o$. | 1 |
| 7041 | Find the short base $ b $ of a trapezoid if long base $a = 19$, height $h = \frac{ 153 }{ 10 }$ and angle $\beta = 99^o$. | 1 |
| 7042 | Find the side $ c $ of a trapezoid if long base $a = 33$, short base $b = 18$ and diagonal $d = 9$. | 1 |
| 7043 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 10$, height $h = 6$, area $A = 66$ and angle $\alpha = 60^o$. | 1 |
| 7044 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 10$, side $c = \frac{ 1831 }{ 250 }$, diagonal $d = \frac{ 1831 }{ 250 }$, height $h = 6$, area $A = 66$ and angle $\alpha = 60^o$. | 1 |
| 7045 | Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = \frac{ 23 }{ 5 }$ and angle $\beta = 60^o$. | 1 |
| 7046 | Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 8$, height $h = 6$ and angle $\alpha = 90^o$. | 1 |
| 7047 | Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 8$ and angle $\alpha = 90^o$. | 1 |
| 7048 | Find the long base $ a $ of a trapezoid if area $A = 10$. | 1 |
| 7049 | Find the long base $ a $ of a trapezoid if long base $a = 20$ and height $h = 10$. | 1 |
| 7050 | Find the short base $ b $ of a trapezoid if long base $a = 20$ and height $h = 10$. | 1 |
