Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4001 | Find the area $ A $ of a trapezoid if long base $a = 96$, short base $b = 96$, side $c = 4$ and height $h = \frac{ 17 }{ 2 }$. | 2 |
| 4002 | Find the long base $ a $ of a trapezoid if short base $b = 93$, side $c = 27$ and angle $\beta = 45^o$. | 2 |
| 4003 | Find the long base $ a $ of a trapezoid if short base $b = 93$, side $c = 27$ and angle $\beta = 135^o$. | 2 |
| 4004 | Find the long base $ a $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 30^o$. | 2 |
| 4005 | Find the long base $ a $ of a trapezoid if long base $a = 61.8193$, side $c = 24$ and height $h = 8$. | 2 |
| 4006 | Find the side $ c $ of a trapezoid if long base $a = 61.8193$, side $c = 24$ and height $h = 8$. | 2 |
| 4007 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 113 }{ 2 }$, short base $b = 55$ and side $c = \frac{ 133 }{ 2 }$. | 2 |
| 4008 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 3599 }{ 3 }$, short base $b = \frac{ 1 }{ 3 }$ and area $A = 300$. | 2 |
| 4009 | Find the long base $ a $ of a trapezoid if long base $a = 23$, short base $b = \frac{ 79 }{ 4 }$ and height $h = 26$. | 2 |
| 4010 | Find the long base $ a $ of a trapezoid if long base $a = 13$, short base $b = 5$ and height $h = 3$. | 2 |
| 4011 | Find the long base $ a $ of a trapezoid if short base $b = 12$ and side $c = 13$. | 2 |
| 4012 | Find the side $ c $ of a trapezoid if long base $a = 680$, short base $b = 680$ and side $c = 20$. | 2 |
| 4013 | Find the area $ A $ of a trapezoid if short base $b = 4$, height $h = 5$ and angle $\alpha = 135^o$. | 2 |
| 4014 | Find the area $ A $ of a trapezoid if short base $b = 4$, height $h = 5$ and angle $\beta = 135^o$. | 2 |
| 4015 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 5 }{ 2 }$ and angle $\alpha = 120^o$. | 2 |
| 4016 | Find the height $ h $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 5 }{ 2 }$ and angle $\alpha = 120^o$. | 2 |
| 4017 | Find the median $ m $ of a trapezoid if short base $b = 10$ and height $h = 10$. | 2 |
| 4018 | Find the median $ m $ of a trapezoid if short base $b = 10$, height $h = 10$ and area $A = 10$. | 2 |
| 4019 | Find the short base $ b $ of a trapezoid if long base $a = 10$, height $h = 6$ and area $A = 45$. | 2 |
| 4020 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = 8$ and area $A = 72$. | 2 |
| 4021 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 99 }{ 400 }$, area $A = 0.0369$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 2 |
| 4022 | Find the long base $ a $ of a trapezoid if long base $a = 16$, short base $b = 14$ and side $c = 10$. | 2 |
| 4023 | Find the angle $ \beta $ of a trapezoid if long base $a = 16$, short base $b = 14$ and side $c = 10$. | 2 |
| 4024 | Find the height $ h $ of a trapezoid if long base $a = 4$, short base $b = 2$ and diagonal $d = 2$. | 2 |
| 4025 | Find the height $ h $ of a trapezoid if long base $a = 4$, short base $b = 2$ and side $c = 2$. | 2 |
| 4026 | Find the of a trapezoid if long base $a = 6$, short base $b = 5$ and height $h = 40$. | 2 |
| 4027 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 177 }{ 4 }$, short base $b = \frac{ 57 }{ 4 }$ and side $c = 22$. | 2 |
| 4028 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 189 }{ 10 }$, short base $b = 10$ and area $A = \frac{ 4913 }{ 20 }$. | 2 |
| 4029 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 8$. | 2 |
| 4030 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 14 }{ 5 }$, short base $b = 1$ and height $h = \frac{ 14 }{ 5 }$. | 2 |
| 4031 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 31 }{ 5 }$, short base $b = 4$ and area $A = \frac{ 1326 }{ 25 }$. | 2 |
| 4032 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 93 }{ 5 }$, short base $b = 8$ and height $h = 14$. | 2 |
| 4033 | Find the long base $ a $ of a trapezoid if short base $b = 3$, height $h = \frac{ 71 }{ 100 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 4034 | Find the long base $ a $ of a trapezoid if short base $b = 3$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 4035 | Find the long base $ a $ of a trapezoid if long base $a = 19$, short base $b = 3$ and height $h = \frac{ 71 }{ 100 }$. | 2 |
| 4036 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 14 }{ 5 }$, height $h = \frac{ 13 }{ 10 }$ and area $A = \frac{ 5 }{ 2 }$. | 2 |
| 4037 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 14 }{ 5 }$, height $h = \frac{ 13 }{ 10 }$ and area $A = \frac{ 5 }{ 2 }$. | 2 |
| 4038 | Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 6$ and height $h = \frac{ 13 }{ 2 }$. | 2 |
| 4039 | Find the side $ c $ of a trapezoid if long base $a = 22$, short base $b = 6$ and height $h = \frac{ 13 }{ 2 }$. | 2 |
| 4040 | Find the side $ c $ of a trapezoid if short base $b = 1866$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4041 | Find the area $ A $ of a trapezoid if long base $a = 70$, short base $b = 10$, side $c = \frac{ 158 }{ 5 }$ and height $h = 10$. | 2 |
| 4042 | Find the long base $ a $ of a trapezoid if long base $a = 8$, height $h = 5$ and area $A = 35$. | 2 |
| 4043 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = 5$ and area $A = 35$. | 2 |
| 4044 | Find the short base $ b $ of a trapezoid if long base $a = 53$. | 2 |
| 4045 | Find the short base $ b $ of a trapezoid if long base $a = 4063$, side $c = 2380$ and angle $\beta = 10^o$. | 2 |
| 4046 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 56$ and height $h = 43$. | 2 |
| 4047 | Find the long base $ a $ of a trapezoid if short base $b = 3$ and side $c = 6$. | 2 |
| 4048 | Find the long base $ a $ of a trapezoid if short base $b = 3$, side $c = 6$ and angle $\alpha = 90^o$. | 2 |
| 4049 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 38513 }{ 1000 }$, height $h = 8$ and angle $\alpha = 70^o$. | 2 |
| 4050 | Find the long base $ a $ of a trapezoid if short base $b = 16$, side $c = 30$ and angle $\beta = 95^o$. | 2 |