Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4051 | Find the long base $ a $ of a trapezoid if short base $b = 2$, diagonal $d = \frac{ 3 }{ 2 }$ and height $h = \frac{ 9 }{ 10 }$. | 2 |
| 4052 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 293 }{ 25 }$, angle $\alpha = \frac{ 388 }{ 5 }^o$ and angle $\beta = \frac{ 512 }{ 5 }^o$. | 2 |
| 4053 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 293 }{ 25 }$, side $c = \frac{ 307 }{ 50 }$, angle $\alpha = \frac{ 388 }{ 5 }^o$ and angle $\beta = \frac{ 512 }{ 5 }^o$. | 2 |
| 4054 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 293 }{ 25 }$, side $c = \frac{ 307 }{ 50 }$, height $h = 6$, angle $\alpha = \frac{ 388 }{ 5 }^o$ and angle $\beta = \frac{ 512 }{ 5 }^o$. | 2 |
| 4055 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 293 }{ 25 }$, side $c = \frac{ 307 }{ 50 }$ and height $h = 6$. | 2 |
| 4056 | Find the long base $ a $ of a trapezoid if long base $a = 14$, short base $b = 8$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4057 | Find the long base $ a $ of a trapezoid if long base $a = 14$, short base $b = 8$, height $h = 2 \sqrt{ 3 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4058 | Find the of a trapezoid if long base $a = 20$, short base $b = 2$ and side $c = 78$. | 2 |
| 4059 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = 31$, angle $\alpha = 90^o$ and angle $\beta = 88^o$. | 2 |
| 4060 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = 31$ and diagonal $d = 41$. | 2 |
| 4061 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = 31$ and angle $\alpha = 90^o$. | 2 |
| 4062 | Find the side $ c $ of a trapezoid if side $c = 31$, angle $\alpha = 90^o$ and angle $\beta = 88^o$. | 2 |
| 4063 | Find the long base $ a $ of a trapezoid if long base $a = 16$ and short base $b = 8$. | 2 |
| 4064 | Find the of a trapezoid if long base $a = 35$, short base $b = 9$ and side $c = 42$. | 2 |
| 4065 | Find the height $ h $ of a trapezoid if long base $a = 35$, short base $b = 9$ and side $c = 42$. | 2 |
| 4066 | Find the diagonal $ d $ of a trapezoid if long base $a = 35$, short base $b = \frac{ 483 }{ 50 }$ and side $c = 42$. | 2 |
| 4067 | Find the angle $ \beta $ of a trapezoid if long base $a = 35$, short base $b = \frac{ 483 }{ 50 }$ and side $c = 42$. | 2 |
| 4068 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 119 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and height $h = 27$. | 2 |
| 4069 | Find the height $ h $ of a trapezoid if long base $a = 40$, short base $b = 14$ and side $c = 14$. | 2 |
| 4070 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 7 }{ 2 }$, side $c = 2$ and height $h = \frac{ 7 }{ 2 }$. | 2 |
| 4071 | Find the long base $ a $ of a trapezoid if long base $a = 2000$, short base $b = 600$ and height $h = 300$. | 2 |
| 4072 | Find the long base $ a $ of a trapezoid if long base $a = 3000$, short base $b = 600$ and height $h = 300$. | 2 |
| 4073 | Find the side $ c $ of a trapezoid if long base $a = 3000$, short base $b = 600$ and height $h = 300$. | 2 |
| 4074 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 14 }{ 5 }$ and angle $\alpha = \frac{ 31677 }{ 500 }^o$. | 2 |
| 4075 | Find the height $ h $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$. | 2 |
| 4076 | Find the height $ h $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$, height $h = \frac{ 23 }{ 4 }$ and angle $\alpha = 30^o$. | 2 |
| 4077 | Find the short base $ b $ of a trapezoid if long base $a = 21$, height $h = \frac{ 23 }{ 4 }$ and angle $\alpha = 30^o$. | 2 |
| 4078 | Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\beta = 120^o$. | 2 |
| 4079 | Find the side $ c $ of a trapezoid if long base $a = 41$, short base $b = \frac{ 55 }{ 2 }$ and side $c = 19$. | 2 |
| 4080 | Find the long base $ a $ of a trapezoid if short base $b = 19$ and median $m = 28$. | 2 |
| 4081 | Find the long base $ a $ of a trapezoid if long base $a = 12$ and short base $b = 6$. | 2 |
| 4082 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 9$ and side $c = 15$. | 2 |
| 4083 | Find the height $ h $ of a trapezoid if long base $a = 30$, short base $b = 9$ and side $c = 15$. | 2 |
| 4084 | Find the short base $ b $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 150^o$. | 2 |
| 4085 | Find the short base $ b $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and angle $\alpha = 45^o$. | 2 |
| 4086 | Find the height $ h $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and angle $\alpha = 45^o$. | 2 |
| 4087 | Find the height $ h $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and angle $\beta = 135^o$. | 2 |
| 4088 | Find the of a trapezoid if long base $a = 21$, short base $b = \frac{ 232 }{ 25 }$ and side $c = \frac{ 23 }{ 2 }$. | 2 |
| 4089 | Find the of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$. | 2 |
| 4090 | Find the long base $ a $ of a trapezoid if long base $a = 93$, side $c = 6$ and angle $\beta = 70^o$. | 2 |
| 4091 | Find the height $ h $ of a trapezoid if long base $a = 93$, side $c = 6$ and angle $\beta = 70^o$. | 2 |
| 4092 | Find the height $ h $ of a trapezoid if long base $a = 93$, side $c = 6$, angle $\alpha = 110^o$ and angle $\beta = 70^o$. | 2 |
| 4093 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 205 }{ 16 }$, short base $b = \frac{ 201 }{ 8 }$, side $c = \frac{ 201 }{ 8 }$, diagonal $d = \frac{ 285 }{ 16 }$, height $h = \frac{ 201 }{ 8 }$ and perimeter $P = \frac{ 8011 }{ 16 }$. | 2 |
| 4094 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 201 }{ 8 }$, side $c = \frac{ 201 }{ 8 }$, diagonal $d = \frac{ 285 }{ 16 }$, height $h = \frac{ 201 }{ 8 }$ and perimeter $P = \frac{ 8011 }{ 16 }$. | 2 |
| 4095 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 201 }{ 8 }$, side $c = \frac{ 201 }{ 8 }$ and diagonal $d = \frac{ 285 }{ 16 }$. | 2 |
| 4096 | Find the height $ h $ of a trapezoid if long base $a = 7$ and short base $b = 3$. | 2 |
| 4097 | Find the height $ h $ of a trapezoid if long base $a = 7$, short base $b = 3$ and area $A = 15$. | 2 |
| 4098 | Find the long base $ a $ of a trapezoid if long base $a = 109$, short base $b = 59$ and height $h = 28$. | 2 |
| 4099 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 713 }{ 20 }$, side $c = \frac{ 403 }{ 50 }$, height $h = \frac{ 403 }{ 50 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4100 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 713 }{ 20 }$, short base $b = \frac{ 3347 }{ 100 }$, side $c = \frac{ 403 }{ 50 }$, height $h = \frac{ 403 }{ 50 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
