Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 401 | Find the side $ c $ of a trapezoid if long base $a = 490$, short base $b = 100$ and angle $\alpha = 75^o$. | 5 |
| 402 | Find the of a trapezoid if long base $a = \frac{ 1199 }{ 20 }$, short base $b = \frac{ 597 }{ 10 }$ and side $c = \frac{ 9 }{ 20 }$. | 5 |
| 403 | Find the area $ A $ of a trapezoid if long base $a = 23$, short base $b = 15$ and side $c = \frac{ 1131 }{ 100 }$. | 5 |
| 404 | Find the area $ A $ of a trapezoid if long base $a = 32$, short base $b = 6$ and side $c = 15$. | 5 |
| 405 | Find the short base $ b $ of a trapezoid if long base $a = 26$, side $c = 6$ and angle $\beta = 120^o$. | 5 |
| 406 | Find the long base $ a $ of a trapezoid if long base $a = 164$, short base $b = \frac{ 782 }{ 5 }$, side $c = 54$, height $h = 164$ and perimeter $P = \frac{ 1972 }{ 5 }$. | 5 |
| 407 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$. | 5 |
| 408 | Find the height $ h $ of a trapezoid if short base $b = 18$, side $c = 11$ and angle $\beta = 45^o$. | 5 |
| 409 | Find the side $ c $ of a trapezoid if long base $a = 6$, short base $b = 3$ and side $c = 8$. | 5 |
| 410 | Find the short base $ b $ of a trapezoid if long base $a = 22$ and median $m = 19$. | 5 |
| 411 | Find the long base $ a $ of a trapezoid if short base $b = 11$, height $h = 8$ and area $A = 136$. | 5 |
| 412 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 5 |
| 413 | Find the long base $ a $ of a trapezoid if short base $b = 170$ and side $c = 190$. | 5 |
| 414 | Find the area $ A $ of a trapezoid if long base $a = 14$, short base $b = 8$ and side $c = 5$. | 5 |
| 415 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 39 }{ 5 }$, short base $b = \frac{ 16 }{ 5 }$ and side $c = \frac{ 29 }{ 5 }$. | 5 |
| 416 | Find the of a trapezoid if long base $a = 19$, short base $b = \frac{ 65 }{ 4 }$, side $c = \frac{ 439 }{ 25 }$ and height $h = \frac{ 35 }{ 2 }$. | 5 |
| 417 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 9243 }{ 100 }$, short base $b = \frac{ 859 }{ 10 }$ and side $c = 18$. | 5 |
| 418 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 9$, side $c = 5$, diagonal $d = 5$, height $h = 4$ and angle $\alpha = 5^o$. | 5 |
| 419 | Find the of a trapezoid if long base $a = \frac{ 111 }{ 4 }$, short base $b = \frac{ 93 }{ 4 }$ and height $h = \frac{ 11 }{ 2 }$. | 5 |
| 420 | Find the long base $ a $ of a trapezoid if side $c = 41$, height $h = 40$ and median $m = 45$. | 5 |
| 421 | Find the of a trapezoid if long base $a = 31$, short base $b = 16$ and side $c = 8$. | 5 |
| 422 | Find the short base $ b $ of a trapezoid if long base $a = 31$, side $c = 8$ and angle $\alpha = 45^o$. | 5 |
| 423 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 23019 }{ 1000 }$, height $h = \frac{ 143 }{ 10 }$ and angle $\alpha = 67^o$. | 5 |
| 424 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 2067 }{ 250 }$, height $h = \frac{ 127 }{ 10 }$ and angle $\alpha = 67^o$. | 5 |
| 425 | Find the side $ c $ of a trapezoid if long base $a = 26$, short base $b = 8$ and height $h = 9$. | 5 |
| 426 | Find the angle $ \beta $ of a trapezoid if long base $a = 3$, short base $b = 1$ and height $h = 2$. | 5 |
| 427 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = 6$, height $h = \frac{ 59 }{ 10 }$ and angle $\alpha = 80^o$. | 5 |
| 428 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$, side $c = 5.87\, \text{in}$ and height $h = 6\, \text{in}$. | 5 |
| 429 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 5 |
| 430 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 30^o$. | 5 |
| 431 | Find the short base $ b $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 72^o$. | 5 |
| 432 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 9\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 33\, \text{in}$. | 5 |
| 433 | Find the long base $ a $ of a trapezoid if side $c = 30\, \text{in}$, height $h = 33\, \text{in}$ and angle $\alpha = 18.8^o$. | 5 |
| 434 | Find the long base $ a $ of a trapezoid if long base $a = 4800\, \text{mm}$ and side $c = 3000\, \text{mm}$. | 5 |
| 435 | Find the perimeter $ P $ of a trapezoid if long base $a = 54.67\, \text{mm}$, short base $b = 41\, \text{mm}$ and height $h = 3\, \text{mm}$. | 5 |
| 436 | Find the perimeter $ P $ of a trapezoid if long base $a = 54.67\, \text{mm}$, short base $b = 41\, \text{mm}$ and height $h = 6\, \text{mm}$. | 5 |
| 437 | Find the diagonal $ d $ of a trapezoid if long base $a = 6\, \text{mm}$, side $c = 1\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 150^o$. | 5 |
| 438 | Find the side $ c $ of a trapezoid if long base $a = 450\, \text{mm}$, short base $b = 300\, \text{mm}$ and height $h = 300\, \text{mm}$. | 5 |
| 439 | Find the long base $ a $ of a trapezoid if long base $a = 99\, \text{cm}$, side $c = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 5 |
| 440 | Find the angle $ \beta $ of a trapezoid if long base $a = 99\, \text{mm}$, short base $b = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 5 |
| 441 | Find the short base $ b $ of a trapezoid if long base $a = 10.5\, \text{mm}$, height $h = 2.2\, \text{mm}$ and angle $\alpha = 55^o$. | 5 |
| 442 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 443 | Find the height $ h $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 25\, \text{mm}$ and area $A = 1800\, \text{mm}^2$. | 5 |
| 444 | Find the angle $ \beta $ of a trapezoid if long base $a = 74\, \text{cm}$, short base $b = 56\, \text{cm}$ and side $c = 24\, \text{cm}$. | 5 |
| 445 | Find the short base $ b $ of a trapezoid if long base $a = 5.75\, \text{in}$, height $h = \frac{ 5 }{ 8 }\, \text{in}$ and angle $\alpha = 70.5^o$. | 5 |
| 446 | Find the angle $ \alpha $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 140\, \text{mm}$. | 5 |
| 447 | Find the angle $ \beta $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 140\, \text{mm}$. | 5 |
| 448 | Find the long base $ a $ of a trapezoid if long base $a = 10176\, \text{mm}$, short base $b = 4950\, \text{mm}$ and height $h = 2626\, \text{mm}$. | 5 |
| 449 | Find the long base $ a $ of a trapezoid if long base $a = 29.94\, \text{mm}$, short base $b = 27.48\, \text{mm}$ and height $h = 19.62\, \text{mm}$. | 5 |
| 450 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 13\, \text{mm}$ and height $h = 17\, \text{mm}$. | 5 |
