Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8001 | Find the short base $ b $ of a trapezoid if long base $a = 5$, side $c = \frac{ 443 }{ 25 }$ and angle $\alpha = 90^o$. | 1 |
| 8002 | Find the angle $ \beta $ of a trapezoid if short base $b = \frac{ 97 }{ 4 }$, side $c = \frac{ 97 }{ 4 }$ and angle $\beta = 160^o$. | 1 |
| 8003 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 97 }{ 4 }$, side $c = \frac{ 97 }{ 4 }$ and angle $\beta = 170^o$. | 1 |
| 8004 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 97 }{ 4 }$, side $c = \frac{ 97 }{ 4 }$ and angle $\beta = 150^o$. | 1 |
| 8005 | Find the area $ A $ of a trapezoid if long base $a = 9$, short base $b = 5$ and height $h = 17$. | 1 |
| 8006 | Find the long base $ a $ of a trapezoid if long base $a = 13$, short base $b = 4$ and angle $\alpha = 60^o$. | 1 |
| 8007 | Find the perimeter $ P $ of a trapezoid if long base $a = 13$, short base $b = 4$ and angle $\alpha = 60^o$. | 1 |
| 8008 | Find the perimeter $ P $ of a trapezoid if long base $a = 13$, short base $b = 4$, height $h = \frac{ 3897 }{ 500 }$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8009 | Find the long base $ a $ of a trapezoid if short base $b = 17$, side $c = 10$ and angle $\alpha = \frac{ 7747 }{ 100 }^o$. | 1 |
| 8010 | Find the long base $ a $ of a trapezoid if long base $a = 100$ and side $c = 32$. | 1 |
| 8011 | Find the short base $ b $ of a trapezoid if long base $a = 100$ and side $c = 32$. | 1 |
| 8012 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 10$ and diagonal $d = 3$. | 1 |
| 8013 | Find the height $ h $ of a trapezoid if long base $a = 20$, short base $b = 10$ and diagonal $d = 3$. | 1 |
| 8014 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$ and diagonal $d = 13$. | 1 |
| 8015 | Find the short base $ b $ of a trapezoid if side $c = 11$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8016 | Find the short base $ b $ of a trapezoid if long base $a = 12$, side $c = 11$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8017 | Find the short base $ b $ of a trapezoid if long base $a = 12$, side $c = 11$ and angle $\alpha = 60^o$. | 1 |
| 8018 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, side $c = \frac{ 7 }{ 8 }$ and angle $\beta = 155^o$. | 1 |
| 8019 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$. | 1 |
| 8020 | Find the long base $ a $ of a trapezoid if long base $a = 390$, height $h = 20$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8021 | Find the long base $ a $ of a trapezoid if long base $a = 275$, side $c = 120$, height $h = 120$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8022 | Find the area $ A $ of a trapezoid if long base $a = 86616$, short base $b = 39998$, side $c = 50470$, angle $\alpha = 129^o$ and angle $\beta = 51^o$. | 1 |
| 8023 | Find the area $ A $ of a trapezoid if long base $a = 86616$, short base $b = 50470$, side $c = 39998$, angle $\alpha = 129^o$ and angle $\beta = 51^o$. | 1 |
| 8024 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 587 }{ 8 }$, short base $b = \frac{ 93 }{ 4 }$ and side $c = \frac{ 129 }{ 4 }$. | 1 |
| 8025 | Find the long base $ a $ of a trapezoid if long base $a = 17$ and side $c = 17$. | 1 |
| 8026 | Find the diagonal $ d $ of a trapezoid if long base $a = 10$, short base $b = 6$ and area $A = 130$. | 1 |
| 8027 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$ and height $h = \frac{ 189 }{ 10 }$. | 1 |
| 8028 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$, height $h = \frac{ 189 }{ 10 }$ and angle $\beta = 100^o$. | 1 |
| 8029 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$, height $h = \frac{ 189 }{ 10 }$ and angle $\alpha = 30^o$. | 1 |
| 8030 | Find the long base $ a $ of a trapezoid if short base $b = 18$, height $h = 9$ and angle $\alpha = 45^o$. | 1 |
| 8031 | Find the long base $ a $ of a trapezoid if short base $b = 122$, height $h = \frac{ 99 }{ 2 }$ and area $A = 58$. | 1 |
| 8032 | Find the height $ h $ of a trapezoid if long base $a = 176$, short base $b = 146$ and angle $\alpha = 94^o$. | 1 |
| 8033 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 4$ and side $c = 4$. | 1 |
| 8034 | Find the angle $ \beta $ of a trapezoid if long base $a = 6$, short base $b = 4$ and side $c = 4$. | 1 |
| 8035 | Find the short base $ b $ of a trapezoid if long base $a = 66$, height $h = 36$ and angle $\alpha = \frac{ 112491 }{ 1250 }^o$. | 1 |
| 8036 | Find the height $ h $ of a trapezoid if long base $a = 21$, short base $b = 8$ and side $c = 8$. | 1 |
| 8037 | Find the long base $ a $ of a trapezoid if long base $a = 117$, short base $b = 116$ and side $c = 72$. | 1 |
| 8038 | Find the long base $ a $ of a trapezoid if short base $b = 300$, area $A = 45000$, angle $\alpha = \frac{ 1843 }{ 100 }^o$ and angle $\beta = \frac{ 16157 }{ 100 }^o$. | 1 |
| 8039 | Find the long base $ a $ of a trapezoid if short base $b = 245$, side $c = 75$, height $h = 75$, median $m = 245$ and angle $\alpha = \frac{ 229 }{ 2 }^o$. | 1 |
| 8040 | Find the long base $ a $ of a trapezoid if short base $b = 245$, side $c = 75$ and angle $\alpha = \frac{ 229 }{ 2 }^o$. | 1 |
| 8041 | Find the side $ c $ of a trapezoid if short base $b = 245$, side $c = 75$ and angle $\alpha = \frac{ 229 }{ 2 }^o$. | 1 |
| 8042 | Find the of a trapezoid if long base $a = 100$, short base $b = 80$, side $c = 40$ and height $h = 35$. | 1 |
| 8043 | Find the of a trapezoid if long base $a = 100$, side $c = 40$ and height $h = 35$. | 1 |
| 8044 | Find the of a trapezoid if long base $a = 14$, short base $b = \frac{ 9 }{ 2 }$ and side $c = \frac{ 9 }{ 2 }$. | 1 |
| 8045 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = \frac{ 9 }{ 2 }$ and side $c = \frac{ 9 }{ 2 }$. | 1 |
| 8046 | Find the side $ c $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\beta = \frac{ 57 }{ 4 }^o$. | 1 |
| 8047 | Find the side $ c $ of a trapezoid if long base $a = 43$, side $c = \frac{ 53 }{ 16 }$ and height $h = \frac{ 53 }{ 4 }$. | 1 |
| 8048 | Find the short base $ b $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\alpha = 90^o$. | 1 |
| 8049 | Find the long base $ a $ of a trapezoid if long base $a = 60$, side $c = 23$ and height $h = \frac{ 43 }{ 2 }$. | 1 |
| 8050 | Find the short base $ b $ of a trapezoid if long base $a = 96$, side $c = 60$ and angle $\alpha = 90^o$. | 1 |
