Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8351 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8352 | Find the short base $ b $ of a trapezoid if long base $a = 100\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8353 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 40\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8354 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 40\, \text{cm}$ and angle $\alpha = 45^o$. | 1 |
| 8355 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 40\, \text{cm}$ and angle $\alpha = 45^o$. | 1 |
| 8356 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 40\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8357 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 60\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\alpha = 45^o$. | 1 |
| 8358 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 60\, \text{cm}$ and angle $\alpha = 45^o$. | 1 |
| 8359 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 60\, \text{cm}$ and height $h = 20\, \text{cm}$. | 1 |
| 8360 | Find the long base $ a $ of a trapezoid if short base $b = 101\, \text{in}$, angle $\alpha = 94^o$ and angle $\beta = 86^o$. | 1 |
| 8361 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{cm}$, short base $b = 10\, \text{cm}$ and side $c = 25\, \text{cm}$. | 1 |
| 8362 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 16\, \text{mm}$, side $c = 20\, \text{mm}$ and height $h = 16\, \text{mm}$. | 1 |
| 8363 | Find the diagonal $ d $ of a trapezoid if long base $a = 3.25\, \text{in}$, short base $b = 1.37\, \text{in}$, height $h = 29\, \text{in}$ and angle $\alpha = 22^o$. | 1 |
| 8364 | Find the diagonal $ d $ of a trapezoid if long base $a = 3.25\, \text{in}$, short base $b = 1.37\, \text{in}$ and height $h = 29\, \text{in}$. | 1 |
| 8365 | Find the diagonal $ d $ of a trapezoid if long base $a = 3.25\, \text{in}$, short base $b = 1.37\, \text{in}$ and angle $\alpha = 22^o$. | 1 |
| 8366 | Find the long base $ a $ of a trapezoid if short base $b = 5.25\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8367 | Find the long base $ a $ of a trapezoid if short base $b = 5.25\, \text{in}$, height $h = 0.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8368 | Find the long base $ a $ of a trapezoid if short base $b = 14\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 30^o$. | 1 |
| 8369 | Find the long base $ a $ of a trapezoid if short base $b = 14\, \text{in}$ and angle $\beta = 30^o$. | 1 |
| 8370 | Find the long base $ a $ of a trapezoid if short base $b = 14\, \text{in}$, height $h = 33\, \text{mm}$ and angle $\beta = 30^o$. | 1 |
| 8371 | Find the long base $ a $ of a trapezoid if short base $b = 128.3154\, \text{in}$, height $h = 33\, \text{in}$ and angle $\beta = 30^o$. | 1 |
| 8372 | Find the long base $ a $ of a trapezoid if long base $a = 0.02\, \text{mm}$, short base $b = 0.0085\, \text{mm}$ and angle $\beta = 125.3^o$. | 1 |
| 8373 | Find the height $ h $ of a trapezoid if long base $a = 0.02\, \text{mm}$, short base $b = 0.0085\, \text{mm}$ and angle $\beta = 125.3^o$. | 1 |
| 8374 | Find the height $ h $ of a trapezoid if long base $a = 0.02\, \text{mm}$, short base $b = 0.0085\, \text{mm}$ and angle $\beta = 54.7^o$. | 1 |
| 8375 | Find the side $ c $ of a trapezoid if long base $a = 0.02\, \text{mm}$, short base $b = 0.0085\, \text{mm}$ and angle $\beta = 125^o$. | 1 |
| 8376 | Find the area $ A $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 8.5\, \text{mm}$ and angle $\beta = 125^o$. | 1 |
| 8377 | Find the side $ c $ of a trapezoid if long base $a = 255\, \text{cm}$, short base $b = 365\, \text{cm}$ and side $c = 1200\, \text{cm}$. | 1 |
| 8378 | Find the long base $ a $ of a trapezoid if long base $a = 255\, \text{cm}$, short base $b = 365\, \text{cm}$ and side $c = 1000\, \text{cm}$. | 1 |
| 8379 | Find the side $ c $ of a trapezoid if long base $a = 255\, \text{cm}$, short base $b = 365\, \text{cm}$ and side $c = 1000\, \text{cm}$. | 1 |
| 8380 | Find the short base $ b $ of a trapezoid if long base $a = 81\, \text{in}$, height $h = 24\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8381 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{ft}$ and height $h = 4\, \text{ft}$. | 1 |
| 8382 | Find the long base $ a $ of a trapezoid if long base $a = 210\, \text{ft}$, short base $b = 5\, \text{mm}$, side $c = 9\, \text{mm}$, diagonal $d = 5\, \text{mm}$, height $h = 4\, \text{ft}$ and median $m = 9\, \text{mm}$. | 1 |
| 8383 | Find the short base $ b $ of a trapezoid if long base $a = 317.5\, \text{in}$, height $h = 91.5\, \text{in}$ and angle $\alpha = 85^o$. | 1 |
| 8384 | Find the short base $ b $ of a trapezoid if short base $b = 301.5\, \text{in}$, height $h = 91.5\, \text{in}$ and angle $\alpha = 85^o$. | 1 |
| 8385 | Find the short base $ b $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 84\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 8386 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 84\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 8387 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 81\, \text{in}$ and angle $\alpha = 120^o$. | 1 |
| 8388 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 84\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 8389 | Find the long base $ a $ of a trapezoid if long base $a = 1.7\, \text{mm}$ and side $c = 0.75\, \text{mm}$. | 1 |
| 8390 | Find the height $ h $ of a trapezoid if long base $a = 1.7\, \text{mm}$ and side $c = 0.75\, \text{mm}$. | 1 |
| 8391 | Find the long base $ a $ of a trapezoid if long base $a = 17.5\, \text{in}$, short base $b = 6.25\, \text{in}$, height $h = 9.5\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8392 | Find the long base $ a $ of a trapezoid if long base $a = 17.5\, \text{in}$, short base $b = 6.25\, \text{in}$ and height $h = 9.5\, \text{in}$. | 1 |
| 8393 | Find the angle $ \alpha $ of a trapezoid if long base $a = 17.5\, \text{in}$, short base $b = 6.25\, \text{in}$ and height $h = 9.5\, \text{in}$. | 1 |
| 8394 | Find the area $ A $ of a trapezoid if long base $a = 17.5\, \text{in}$, short base $b = 6.25\, \text{in}$ and height $h = 9.5\, \text{in}$. | 1 |
| 8395 | Find the short base $ b $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 36^o$. | 1 |
| 8396 | Find the long base $ a $ of a trapezoid if height $h = 22\, \text{in}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 1 |
| 8397 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 4\, \text{mm}$, side $c = 6\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8398 | Find the area $ A $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 4\, \text{ft}$, side $c = 6\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8399 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{mm}$, side $c = 3\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 8400 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 1 |
