Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8201 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 6\, \text{mm}$ and angle $\alpha = 78.75^o$. | 1 |
| 8202 | Find the diagonal $ d $ of a trapezoid if long base $a = 16.5\, \text{in}$, short base $b = 14.3\, \text{in}$ and height $h = 11.8\, \text{in}$. | 1 |
| 8203 | Find the long base $ a $ of a trapezoid if long base $a = 54\, \text{in}$ and side $c = 24\, \text{in}$. | 1 |
| 8204 | Find the long base $ a $ of a trapezoid if long base $a = 54\, \text{in}$, side $c = 24\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 8205 | Find the height $ h $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 12\, \text{mm}$ and side $c = 10.5\, \text{mm}$. | 1 |
| 8206 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{ft}$ and short base $b = 1\, \text{mm}$. | 1 |
| 8207 | Find the diagonal $ d $ of a trapezoid if angle $\alpha = 150^o$ and angle $\beta = 20^o$. | 1 |
| 8208 | Find the long base $ a $ of a trapezoid if short base $b = 0.96\, \text{mm}$ and angle $\beta = 129.1^o$. | 1 |
| 8209 | Find the side $ c $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 17\, \text{ft}$ and height $h = 100\, \text{ft}$. | 1 |
| 8210 | Find the short base $ b $ of a trapezoid if long base $a = 150000000\, \text{km}$, height $h = 148500000\, \text{km}$, angle $\alpha = 89.737^o$ and angle $\beta = 90.263^o$. | 1 |
| 8211 | Find the angle $ \alpha $ of a trapezoid if long base $a = 59\, \text{in}$, short base $b = 51\, \text{in}$ and side $c = 33\, \text{mi}$. | 1 |
| 8212 | Find the long base $ a $ of a trapezoid if long base $a = 59\, \text{mm}$, short base $b = 51\, \text{mm}$ and height $h = 32.75\, \text{mm}$. | 1 |
| 8213 | Find the angle $ \beta $ of a trapezoid if long base $a = 59\, \text{mm}$, short base $b = 51\, \text{mm}$ and side $c = 33\, \text{mm}$. | 1 |
| 8214 | Find the angle $ \beta $ of a trapezoid if long base $a = 59\, \text{mm}$, short base $b = 51\, \text{mm}$ and height $h = 32.75\, \text{mm}$. | 1 |
| 8215 | Find the long base $ a $ of a trapezoid if short base $b = 45\, \text{mm}$, side $c = 860\, \text{mm}$ and height $h = 860\, \text{mm}$. | 1 |
| 8216 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{m}$, short base $b = 7\, \text{cm}$, side $c = 24\, \text{m}$ and diagonal $d = 22\, \text{m}$. | 1 |
| 8217 | Find the area $ A $ of a trapezoid if long base $a = 28350\, \text{mm}$, short base $b = 18500\, \text{mm}$ and side $c = 26000\, \text{mm}$. | 1 |
| 8218 | Find the long base $ a $ of a trapezoid if long base $a = 161\, \text{ft}$, height $h = 166\, \text{ft}$ and area $A = 24983\, \text{ft}^2$. | 1 |
| 8219 | Find the long base $ a $ of a trapezoid if long base $a = 161\, \text{ft}$, side $c = 52\, \text{ft}$ and height $h = 166\, \text{mm}$. | 1 |
| 8220 | Find the long base $ a $ of a trapezoid if long base $a = 161\, \text{ft}$, side $c = 52\, \text{ft}$ and height $h = 166\, \text{ft}$. | 1 |
| 8221 | Find the long base $ a $ of a trapezoid if long base $a = 161\, \text{ft}$, short base $b = 140\, \text{ft}$, side $c = 52\, \text{ft}$, diagonal $d = 120\, \text{ft}$ and height $h = 166\, \text{ft}$. | 1 |
| 8222 | Find the area $ A $ of a trapezoid if long base $a = 161\, \text{ft}$, short base $b = 140\, \text{ft}$, side $c = 52\, \text{ft}$, diagonal $d = 120\, \text{ft}$ and height $h = 166\, \text{ft}$. | 1 |
| 8223 | Find the area $ A $ of a trapezoid if long base $a = 161\, \text{ft}$, short base $b = 140\, \text{ft}$ and side $c = 52\, \text{ft}$. | 1 |
| 8224 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 8225 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 8226 | Find the angle $ \alpha $ of a trapezoid if long base $a = 65\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 44\, \text{in}$. | 1 |
| 8227 | Find the long base $ a $ of a trapezoid if long base $a = 1.375\, \text{in}$, short base $b = 0.6875\, \text{in}$ and height $h = 1.25\, \text{in}$. | 1 |
| 8228 | Find the short base $ b $ of a trapezoid if long base $a = 62.75\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 8229 | Find the side $ c $ of a trapezoid if long base $a = 62.75\, \text{in}$, short base $b = 39.625\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 8230 | Find the side $ c $ of a trapezoid if long base $a = 62.75\, \text{in}$, short base $b = 39.625\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 8231 | Find the angle $ \alpha $ of a trapezoid if long base $a = 62.75\, \text{in}$, short base $b = 39.625\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 8232 | Find the angle $ \beta $ of a trapezoid if long base $a = 62.75\, \text{in}$, short base $b = 39.625\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 8233 | Find the long base $ a $ of a trapezoid if long base $a = 58.75\, \text{mm}$, side $c = 153\, \text{mm}$ and height $h = 151\, \text{mm}$. | 1 |
| 8234 | Find the short base $ b $ of a trapezoid if long base $a = 58.75\, \text{mm}$, side $c = 153\, \text{mm}$ and height $h = 151\, \text{mm}$. | 1 |
| 8235 | Find the long base $ a $ of a trapezoid if short base $b = 285\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 8236 | Find the height $ h $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 21\, \text{ft}$ and angle $\alpha = 45^o$. | 1 |
| 8237 | Find the long base $ a $ of a trapezoid if short base $b = 38\, \text{in}$, height $h = 12.5\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 8238 | Find the long base $ a $ of a trapezoid if long base $a = 9.059\, \text{in}$, height $h = 2.934\, \text{in}$ and angle $\alpha = 48.66^o$. | 1 |
| 8239 | Find the long base $ a $ of a trapezoid if long base $a = 16.17\, \text{ft}$, short base $b = 11.83\, \text{ft}$, side $c = 4\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 90^o$. | 1 |
| 8240 | Find the long base $ a $ of a trapezoid if long base $a = 16.17\, \text{ft}$, short base $b = 11.83\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 90^o$. | 1 |
| 8241 | Find the height $ h $ of a trapezoid if long base $a = 33\, \text{ft}$, short base $b = 17\, \text{ft}$, side $c = 40\, \text{ft}$ and perimeter $P = 144\, \text{ft}$. | 1 |
| 8242 | Find the long base $ a $ of a trapezoid if angle $\beta = 90^o$. | 1 |
| 8243 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 17\, \text{mm}$, side $c = 54\, \text{mm}$ and angle $\beta = 90^o$. | 1 |
| 8244 | Find the long base $ a $ of a trapezoid if short base $b = 0.177\, \text{in}$, height $h = 0.19\, \text{in}$ and angle $\alpha = 10^o$. | 1 |
| 8245 | Find the side $ c $ of a trapezoid if long base $a = 11.69\, \text{mm}$, short base $b = 6.31\, \text{mm}$ and height $h = 4.8\, \text{mm}$. | 1 |
| 8246 | Find the angle $ \beta $ of a trapezoid if long base $a = 11.69\, \text{mm}$, short base $b = 6.31\, \text{mm}$ and height $h = 4.8\, \text{mm}$. | 1 |
| 8247 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11.69\, \text{mm}$, short base $b = 6.31\, \text{mm}$ and height $h = 4.8\, \text{mm}$. | 1 |
| 8248 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 4\, \text{mm}$. | 1 |
| 8249 | Find the long base $ a $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 4.5\, \text{mm}$ and height $h = 2.5\, \text{mm}$. | 1 |
| 8250 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
