Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6201 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{mm}$, side $c = 49\, \text{mm}$, height $h = 20\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6202 | Find the short base $ b $ of a trapezoid if long base $a = 28.3\, \text{in}$, height $h = 9.54\, \text{in}$ and angle $\alpha = 59.8172^o$. | 2 |
| 6203 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$ and side $c = 22\, \text{in}$. | 2 |
| 6204 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 1\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 6205 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12.5\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 6206 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12.5\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 6207 | Find the long base $ a $ of a trapezoid if long base $a = 282\, \text{mm}$, short base $b = 103\, \text{mm}$ and side $c = 131\, \text{mm}$. | 2 |
| 6208 | Find the height $ h $ of a trapezoid if long base $a = 282\, \text{mm}$, short base $b = 103\, \text{mm}$ and side $c = 131\, \text{mm}$. | 2 |
| 6209 | Find the height $ h $ of a trapezoid if long base $a = 282\, \text{cm}$, short base $b = 103\, \text{cm}$ and side $c = 131\, \text{cm}$. | 2 |
| 6210 | Find the long base $ a $ of a trapezoid if short base $b = 270\, \text{mm}$, height $h = 92\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 6211 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 6212 | Find the area $ A $ of a trapezoid if long base $a = 4\, \text{mm}$, side $c = 2\, \text{mm}$ and height $h = \sqrt{ 3 }\, \text{mm}$. | 2 |
| 6213 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, height $h = 5\, \text{mm}$, angle $\alpha = 5^o$ and angle $\beta = 5^o$. | 2 |
| 6214 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, height $h = 5\, \text{in}$, angle $\alpha = 5^o$ and angle $\beta = 5^o$. | 2 |
| 6215 | Find the long base $ a $ of a trapezoid if short base $b = 2.8\, \text{in}$, side $c = 4.1\, \text{in}$ and height $h = 3.4\, \text{in}$. | 2 |
| 6216 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 23.5\, \text{in}$. | 2 |
| 6217 | Find the side $ c $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 23.5\, \text{in}$. | 2 |
| 6218 | Find the long base $ a $ of a trapezoid if short base $b = 79.25\, \text{in}$, side $c = 22.5\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
| 6219 | Find the long base $ a $ of a trapezoid if short base $b = 79\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
| 6220 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, height $h = 6.5\, \text{mm}$ and angle $\alpha = 75.01^o$. | 2 |
| 6221 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 20.5\, \text{in}$. | 2 |
| 6222 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 17.375\, \text{in}$. | 2 |
| 6223 | Find the long base $ a $ of a trapezoid if short base $b = 1500\, \text{mm}$, side $c = 2000\, \text{mm}$, angle $\alpha = 22^o$ and angle $\beta = 68^o$. | 2 |
| 6224 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{in}$ and short base $b = 8\, \text{in}$. | 2 |
| 6225 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 22.5\, \text{in}$. | 2 |
| 6226 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 22.5\, \text{in}$. | 2 |
| 6227 | Find the short base $ b $ of a trapezoid if long base $a = 2.25\, \text{in}$, height $h = 36\, \text{in}$ and angle $\alpha = 89.4316^o$. | 2 |
| 6228 | Find the long base $ a $ of a trapezoid if short base $b = 27.51\, \text{in}$, height $h = 1\, \text{in}$ and angle $\beta = 76.5^o$. | 2 |
| 6229 | Find the angle $ \alpha $ of a trapezoid if long base $a = 27.99\, \text{in}$, short base $b = 25.71\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 6230 | Find the short base $ b $ of a trapezoid if long base $a = 33\, \text{ft}$, side $c = 7\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 6231 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{ft}$, side $c = 7\, \text{ft}$, diagonal $d = 20.68\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 6232 | Find the height $ h $ of a trapezoid if long base $a = 22\, \text{ft}$, side $c = 7\, \text{ft}$, diagonal $d = 20.68\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 6233 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 14.04^o$. | 2 |
| 6234 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6235 | Find the area $ A $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 16\, \text{in}$, side $c = 7.071\, \text{in}$ and height $h = 5\, \text{in}$. | 2 |
| 6236 | Find the side $ c $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 50\, \text{in}$ and height $h = 25.5\, \text{in}$. | 2 |
| 6237 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 6238 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 6\, \text{mm}$. | 2 |
| 6239 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{mm}$ and side $c = 13\, \text{mm}$. | 2 |
| 6240 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{mm}$, height $h = 1\, \text{mm}$ and angle $\beta = 71.57^o$. | 2 |
| 6241 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{ft}$, height $h = 1\, \text{ft}$ and angle $\beta = 71.57^o$. | 2 |
| 6242 | Find the long base $ a $ of a trapezoid if long base $a = 1840\, \text{mm}$, short base $b = 580\, \text{mm}$ and height $h = 450\, \text{mm}$. | 2 |
| 6243 | Find the long base $ a $ of a trapezoid if long base $a = 5.02\, \text{mm}$, short base $b = 2.46\, \text{mm}$, diagonal $d = 4.94\, \text{mm}$ and height $h = 3.34\, \text{mm}$. | 2 |
| 6244 | Find the long base $ a $ of a trapezoid if long base $a = 5.02\, \text{mm}$, short base $b = 2.46\, \text{mm}$ and height $h = 3.34\, \text{mm}$. | 2 |
| 6245 | Find the angle $ \beta $ of a trapezoid if long base $a = 5.25\, \text{in}$, short base $b = 0.75\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
| 6246 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 32.5\, \text{in}$ and side $c = 68.9\, \text{in}$. | 2 |
| 6247 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 15^o$. | 2 |
| 6248 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 7\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6249 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 7\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6250 | Find the short base $ b $ of a trapezoid if long base $a = 17\, \text{in}$, height $h = 7\, \text{in}$ and angle $\alpha = 45^o$. | 2 |