Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5351 | Find the height $ h $ of a trapezoid if long base $a = 110$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5352 | Find the height $ h $ of a trapezoid if long base $a = 110$, short base $b = 43$ and angle $\alpha = 45^o$. | 2 |
| 5353 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 21 }{ 2 }$, side $c = 6$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5354 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 349 }{ 4 }$, short base $b = \frac{ 349 }{ 4 }$, side $c = 83$ and diagonal $d = \frac{ 96921 }{ 1000 }$. | 2 |
| 5355 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 349 }{ 4 }$, short base $b = \frac{ 349 }{ 4 }$, side $c = 83$, diagonal $d = \frac{ 96921 }{ 1000 }$ and height $h = \frac{ 45 }{ 2 }$. | 2 |
| 5356 | Find the short base $ b $ of a trapezoid if long base $a = 80$, height $h = 73$ and angle $\alpha = 75^o$. | 2 |
| 5357 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5358 | Find the long base $ a $ of a trapezoid if long base $a = 40$. | 2 |
| 5359 | Find the short base $ b $ of a trapezoid if long base $a = 40$. | 2 |
| 5360 | Find the of a trapezoid if long base $a = 62$, short base $b = 57$ and height $h = 4$. | 2 |
| 5361 | Find the long base $ a $ of a trapezoid if long base $a = 8$, side $c = 8$ and angle $\alpha = 60^o$. | 2 |
| 5362 | Find the side $ c $ of a trapezoid if long base $a = 32$, short base $b = 18$ and height $h = 12$. | 2 |
| 5363 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 20$, side $c = 20$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5364 | Find the long base $ a $ of a trapezoid if diagonal $d = 8$, height $h = 8$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5365 | Find the long base $ a $ of a trapezoid if short base $b = 8$, diagonal $d = 8$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5366 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 82589 }{ 50 }$, height $h = 125$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 2 |
| 5367 | Find the long base $ a $ of a trapezoid if median $m = 1600$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 225 }{ 2 }^o$. | 2 |
| 5368 | Find the long base $ a $ of a trapezoid if short base $b = 12$, side $c = 26$ and height $h = 24$. | 2 |
| 5369 | Find the long base $ a $ of a trapezoid if long base $a = 18$ and height $h = 8$. | 2 |
| 5370 | Find the long base $ a $ of a trapezoid if long base $a = 1$, side $c = \frac{ 1 }{ 40 }$, height $h = \frac{ 1 }{ 40 }$, angle $\alpha = 90^o$ and angle $\beta = 1^o$. | 2 |
| 5371 | Find the long base $ a $ of a trapezoid if long base $a = 200$, short base $b = 200$ and height $h = 200$. | 2 |
| 5372 | Find the side $ c $ of a trapezoid if long base $a = 119$, height $h = 18$ and perimeter $P = 297$. | 2 |
| 5373 | Find the side $ c $ of a trapezoid if long base $a = 119$, height $h = 1$ and perimeter $P = 297$. | 2 |
| 5374 | Find the short base $ b $ of a trapezoid if long base $a = 400$ and short base $b = 300$. | 2 |
| 5375 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = \frac{ 3 }{ 2 }$ and angle $\alpha = 68^o$. | 2 |
| 5376 | Find the long base $ a $ of a trapezoid if long base $a = 69$, short base $b = 38$ and height $h = 37$. | 2 |
| 5377 | Find the long base $ a $ of a trapezoid if short base $b = 12$, side $c = 24$ and height $h = 21$. | 2 |
| 5378 | Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 12$ and side $c = 10$. | 2 |
| 5379 | Find the of a trapezoid if short base $b = 12$, side $c = 24$ and height $h = 21$. | 2 |
| 5380 | Find the angle $ \beta $ of a trapezoid if short base $b = 12$, side $c = 24$ and height $h = 21$. | 2 |
| 5381 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 481 }{ 16 }$, side $c = \frac{ 143 }{ 8 }$ and height $h = \frac{ 277 }{ 16 }$. | 2 |
| 5382 | Find the of a trapezoid if long base $a = 182$, short base $b = 160$ and side $c = 230$. | 2 |
| 5383 | Find the area $ A $ of a trapezoid if long base $a = 8$, side $c = \frac{ 1 }{ 8 }$ and angle $\alpha = 90^o$. | 2 |
| 5384 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 8$ and angle $\alpha = 70^o$. | 2 |
| 5385 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 8$ and angle $\alpha = 70^o$. | 2 |
| 5386 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 8$, side $c = \frac{ 279 }{ 50 }$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 5387 | Find the short base $ b $ of a trapezoid if long base $a = 36$ and height $h = 36$. | 2 |
| 5388 | Find the side $ c $ of a trapezoid if long base $a = 36$, short base $b = 32$ and height $h = 36$. | 2 |
| 5389 | Find the long base $ a $ of a trapezoid if short base $b = 90$, side $c = 140$ and height $h = 90$. | 2 |
| 5390 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 287 }{ 4 }$, side $c = 48$ and angle $\alpha = 90^o$. | 2 |
| 5391 | Find the area $ A $ of a trapezoid if long base $a = 22$, short base $b = 15$ and height $h = 10$. | 2 |
| 5392 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 154 }{ 5 }$, short base $b = \frac{ 287 }{ 10 }$ and height $h = \frac{ 4 }{ 5 }$. | 2 |
| 5393 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 154 }{ 5 }$, short base $b = \frac{ 287 }{ 10 }$ and side $c = \frac{ 3 }{ 2 }$. | 2 |
| 5394 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 154 }{ 5 }$, short base $b = \frac{ 287 }{ 10 }$ and side $c = \frac{ 3 }{ 2 }$. | 2 |
| 5395 | Find the of a trapezoid if long base $a = 10$, short base $b = 5$ and side $c = 3$. | 2 |
| 5396 | Find the long base $ a $ of a trapezoid if long base $a = 6000$, side $c = 3300$, angle $\alpha = 90^o$ and angle $\beta = 2^o$. | 2 |
| 5397 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = \frac{ 41 }{ 2 }$, height $h = 15$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5398 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = \frac{ 41 }{ 2 }$, diagonal $d = 28$, height $h = 15$, median $m = 23$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5399 | Find the long base $ a $ of a trapezoid if long base $a = 17$, short base $b = 9$, side $c = 8$ and diagonal $d = 10$. | 2 |
| 5400 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 9 }{ 5 }$ and height $h = \frac{ 8 }{ 5 }$. | 2 |