Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7101 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 391 }{ 1000 }$, short base $b = \frac{ 193 }{ 500 }$ and angle $\alpha = 10^o$. | 1 |
| 7102 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 391 }{ 1000 }$, short base $b = \frac{ 193 }{ 500 }$ and angle $\alpha = 5^o$. | 1 |
| 7103 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 391 }{ 1000 }$, height $h = \frac{ 1 }{ 400 }$ and angle $\alpha = 45^o$. | 1 |
| 7104 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 391 }{ 1000 }$, height $h = \frac{ 1 }{ 400 }$ and angle $\alpha = 45^o$. | 1 |
| 7105 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 391 }{ 1000 }$, height $h = \frac{ 3 }{ 2000 }$ and angle $\alpha = 45^o$. | 1 |
| 7106 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 391 }{ 1000 }$, height $h = \frac{ 1 }{ 2000 }$ and angle $\alpha = 45^o$. | 1 |
| 7107 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 372 }{ 5 }$, short base $b = \frac{ 537 }{ 10 }$, side $c = \frac{ 144 }{ 5 }$, height $h = \frac{ 144 }{ 5 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7108 | Find the side $ c $ of a trapezoid if long base $a = 1000$, short base $b = 600$, height $h = 400$ and angle $\alpha = 45^o$. | 1 |
| 7109 | Find the side $ c $ of a trapezoid if long base $a = 1000$, short base $b = 600$ and angle $\alpha = 45^o$. | 1 |
| 7110 | Find the of a trapezoid if long base $a = 40$, short base $b = 24$ and side $c = 10$. | 1 |
| 7111 | Find the angle $ \beta $ of a trapezoid if long base $a = 40$, short base $b = 24$ and side $c = 10$. | 1 |
| 7112 | Find the short base $ b $ of a trapezoid if long base $a = 40$, side $c = 10$ and angle $\alpha = 60^o$. | 1 |
| 7113 | Find the short base $ b $ of a trapezoid if long base $a = 40$, side $c = 10$ and angle $\alpha = 80^o$. | 1 |
| 7114 | Find the angle $ \beta $ of a trapezoid if long base $a = 20$, short base $b = \frac{ 33 }{ 2 }$ and side $c = \frac{ 71 }{ 4 }$. | 1 |
| 7115 | Find the of a trapezoid if long base $a = 20$, short base $b = \frac{ 33 }{ 2 }$ and side $c = \frac{ 71 }{ 4 }$. | 1 |
| 7116 | Find the short base $ b $ of a trapezoid if long base $a = 40$, short base $b = 5$ and angle $\alpha = 60^o$. | 1 |
| 7117 | Find the side $ c $ of a trapezoid if long base $a = 40$, short base $b = 5$ and angle $\alpha = 60^o$. | 1 |
| 7118 | Find the side $ c $ of a trapezoid if long base $a = 40$, short base $b = \frac{ 404 }{ 25 }$ and angle $\alpha = 40^o$. | 1 |
| 7119 | Find the side $ c $ of a trapezoid if long base $a = 40$, height $h = 10$ and angle $\alpha = 40^o$. | 1 |
| 7120 | Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = \frac{ 33 }{ 2 }$ and angle $\alpha = 83^o$. | 1 |
| 7121 | Find the long base $ a $ of a trapezoid if long base $a = 1542$, short base $b = 1318$ and angle $\alpha = \frac{ 1589 }{ 20 }^o$. | 1 |
| 7122 | Find the diagonal $ d $ of a trapezoid if long base $a = 1542$, short base $b = 1318$ and height $h = 591$. | 1 |
| 7123 | Find the area $ A $ of a trapezoid if long base $a = 476$, side $c = 276$, diagonal $d = 309$, height $h = 309$, median $m = 476$, angle $\alpha = 90^o$ and angle $\beta = 86^o$. | 1 |
| 7124 | Find the area $ A $ of a trapezoid if long base $a = 476$, side $c = 276$ and diagonal $d = 309$. | 1 |
| 7125 | Find the area $ A $ of a trapezoid if long base $a = 476$, diagonal $d = 309$ and angle $\beta = 86^o$. | 1 |
| 7126 | Find the area $ A $ of a trapezoid if long base $a = 309$, short base $b = 276$ and height $h = 476$. | 1 |
| 7127 | Find the area $ A $ of a trapezoid if long base $a = 3262$, short base $b = 2727$, height $h = 2688$ and angle $\alpha = 96^o$. | 1 |
| 7128 | Find the area $ A $ of a trapezoid if long base $a = 290$, short base $b = 207$ and height $h = 362$. | 1 |
| 7129 | Find the area $ A $ of a trapezoid if long base $a = 362$, short base $b = 263$ and height $h = 290$. | 1 |
| 7130 | Find the area $ A $ of a trapezoid if long base $a = 242$, short base $b = 191$ and height $h = 732$. | 1 |
| 7131 | Find the long base $ a $ of a trapezoid if long base $a = 56$, short base $b = \frac{ 27 }{ 2 }$ and height $h = 46$. | 1 |
| 7132 | Find the long base $ a $ of a trapezoid if long base $a = 136$ and short base $b = 48$. | 1 |
| 7133 | Find the short base $ b $ of a trapezoid if long base $a = 42$, side $c = \frac{ 323 }{ 4 }$ and height $h = 93$. | 1 |
| 7134 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 109 }{ 2 }$, short base $b = \frac{ 109 }{ 2 }$, side $c = 21$, height $h = 14$ and angle $\beta = 90^o$. | 1 |
| 7135 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 109 }{ 2 }$, short base $b = \frac{ 109 }{ 2 }$, side $c = 21$, height $h = 14$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7136 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 109 }{ 2 }$, short base $b = \frac{ 109 }{ 2 }$ and side $c = 21$. | 1 |
| 7137 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 8$. | 1 |
| 7138 | Find the long base $ a $ of a trapezoid if long base $a = 11$, short base $b = 5$ and height $h = 5$. | 1 |
| 7139 | Find the area $ A $ of a trapezoid if long base $a = 11$, short base $b = 5$ and height $h = 5$. | 1 |
| 7140 | Find the long base $ a $ of a trapezoid if short base $b = 27$, side $c = 27$ and angle $\beta = 135^o$. | 1 |
| 7141 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$, side $c = 5$ and height $h = 5$. | 1 |
| 7142 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$ and height $h = 5$. | 1 |
| 7143 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 6$ and height $h = 5$. | 1 |
| 7144 | Find the long base $ a $ of a trapezoid if long base $a = 34$, short base $b = 24$ and height $h = 34$. | 1 |
| 7145 | Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 34$, side $c = 74$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7146 | Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 34$, side $c = 74$, height $h = 74$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7147 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 10$ and height $h = 25$. | 1 |
| 7148 | Find the short base $ b $ of a trapezoid if long base $a = 54$, side $c = 78$ and angle $\alpha = 65^o$. | 1 |
| 7149 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 381 }{ 25 }$, short base $b = \frac{ 9 }{ 2 }$, height $h = \frac{ 31 }{ 10 }$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 1 |
| 7150 | Find the long base $ a $ of a trapezoid if long base $a = 77$, short base $b = 64$ and side $c = 19$. | 1 |
