Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7251 | Find the short base $ b $ of a trapezoid if long base $a = 2400\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7252 | Find the diagonal $ d $ of a trapezoid if long base $a = 34\, \text{mm}$, short base $b = 119\, \text{mm}$ and side $c = 44\, \text{mm}$. | 1 |
| 7253 | Find the long base $ a $ of a trapezoid if long base $a = 0.375\, \text{mm}$, short base $b = 0.048\, \text{cm}$ and angle $\beta = 50^o$. | 1 |
| 7254 | Find the area $ A $ of a trapezoid if side $c = 5\, \text{mm}$, height $h = 5\, \text{mm}$ and median $m = 14\, \text{mm}$. | 1 |
| 7255 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\beta = 77.5^o$. | 1 |
| 7256 | Find the long base $ a $ of a trapezoid if long base $a = 1150\, \text{cm}$, short base $b = 91\, \text{cm}$, side $c = 88\, \text{cm}$, diagonal $d = 88\, \text{cm}$ and height $h = 92\, \text{cm}$. | 1 |
| 7257 | Find the long base $ a $ of a trapezoid if long base $a = 1150\, \text{cm}$, short base $b = 91\, \text{cm}$ and height $h = 92\, \text{cm}$. | 1 |
| 7258 | Find the long base $ a $ of a trapezoid if short base $b = 91\, \text{cm}$ and side $c = 88\, \text{cm}$. | 1 |
| 7259 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{mm}$ and side $c = 13\, \text{mm}$. | 1 |
| 7260 | Find the short base $ b $ of a trapezoid if long base $a = 30.31\, \text{cm}$, side $c = 3\, \text{cm}$ and angle $\alpha = 60^o$. | 1 |
| 7261 | Find the side $ c $ of a trapezoid if long base $a = 0.384\, \text{in}$, short base $b = 0.2285\, \text{in}$ and height $h = 0.16\, \text{in}$. | 1 |
| 7262 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 15\, \text{mm}$ and height $h = 20.5\, \text{mm}$. | 1 |
| 7263 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 2\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7264 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 12\, \text{in}$, height $h = 2\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7265 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, height $h = 2\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7266 | Find the side $ c $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7267 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 7268 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 7269 | Find the angle $ \beta $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 7270 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 7271 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 2\, \text{in}$, side $c = 12\, \text{mm}$ and diagonal $d = 12\, \text{mm}$. | 1 |
| 7272 | Find the long base $ a $ of a trapezoid if angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 7273 | Find the long base $ a $ of a trapezoid if side $c = 20\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 7274 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{ft}$, side $c = 20\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 7275 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 7276 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 22\, \text{mm}$ and height $h = 20.5\, \text{mm}$. | 1 |
| 7277 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 22\, \text{mm}$ and angle $\alpha = 18^o$. | 1 |
| 7278 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mm}$, short base $b = 15\, \text{mm}$ and side $c = 14\, \text{mm}$. | 1 |
| 7279 | Find the area $ A $ of a trapezoid if side $c = 6 \sqrt{ 6 }\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 7280 | Find the area $ A $ of a trapezoid if side $c = 6 \sqrt{ 6 }\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 120^o$. | 1 |
| 7281 | Find the area $ A $ of a trapezoid if short base $b = 10\, \text{mm}$, side $c = 6 \sqrt{ 6 }\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 120^o$. | 1 |
| 7282 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 8\, \text{cm}$, side $c = 4 \sqrt{ 3 }\, \text{cm}$ and angle $\alpha = 60^o$. | 1 |
| 7283 | Find the angle $ \beta $ of a trapezoid if long base $a = 64.62\, \text{mm}$, short base $b = 54.23\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 7284 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{ft}$, short base $b = 210\, \text{mm}$ and height $h = 60\, \text{mm}$. | 1 |
| 7285 | Find the height $ h $ of a trapezoid if long base $a = 25.5\, \text{ft}$, short base $b = 6\, \text{ft}$ and height $h = 5.5\, \text{ft}$. | 1 |
| 7286 | Find the area $ A $ of a trapezoid if long base $a = 0.205\, \text{in}$, short base $b = 0.135\, \text{in}$ and height $h = 0.514\, \text{in}$. | 1 |
| 7287 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{yd}$, short base $b = 7\, \text{yd}$, median $m = 5\, \text{mm}$ and angle $\alpha = 4^o$. | 1 |
| 7288 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, side $c = 20\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 7289 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 7290 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 7291 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 20\, \text{mm}$. | 1 |
| 7292 | Find the side $ c $ of a trapezoid if height $h = 19.05\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7293 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 7294 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 7295 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7296 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 7297 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7298 | Find the angle $ \beta $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 7299 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 7300 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |