Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2201 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 10.125\, \text{in}$ and angle $\alpha = 89.9032^o$. | 2 |
| 2202 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 18.5\, \text{in}$ and angle $\alpha = 89.8232^o$. | 2 |
| 2203 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.125\, \text{in}$, short base $b = 69.0938\, \text{in}$ and height $h = 10.125\, \text{in}$. | 2 |
| 2204 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 2205 | Find the long base $ a $ of a trapezoid if short base $b = 58.39\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 2206 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.1875\, \text{in}$, short base $b = 69.125\, \text{in}$ and height $h = 20.25\, \text{in}$. | 2 |
| 2207 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{mm}$, height $h = 24\, \text{mm}$ and angle $\alpha = 67.5^o$. | 2 |
| 2208 | Find the side $ c $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 2209 | Find the angle $ \beta $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 2210 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 36^o$. | 2 |
| 2211 | Find the short base $ b $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 54^o$. | 2 |
| 2212 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{in}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 2 |
| 2213 | Find the long base $ a $ of a trapezoid if height $h = 22\, \text{in}$, angle $\alpha = 98^o$ and angle $\beta = 82^o$. | 2 |
| 2214 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 3\, \text{mm}$. | 2 |
| 2215 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 4\, \text{mm}$. | 2 |
| 2216 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 2217 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 2218 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 2219 | Find the angle $ \beta $ of a trapezoid if long base $a = 8819\, \text{mm}$, short base $b = 5500\, \text{mm}$ and height $h = 2400\, \text{mm}$. | 2 |
| 2220 | Find the angle $ \beta $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 2221 | Find the short base $ b $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 2222 | Find the short base $ b $ of a trapezoid if long base $a = 9150\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 2223 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8820\, \text{mm}$, short base $b = 5500\, \text{mm}$, height $h = 2400\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 2224 | Find the short base $ b $ of a trapezoid if long base $a = 24.5\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 2225 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 2 |
| 2226 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2227 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$, height $h = 1460\, \text{mm}$, area $A = 101.7\, \text{mm}^2$ and angle $\alpha = 78.3^o$. | 2 |
| 2228 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$ and angle $\alpha = 78.3^o$. | 2 |
| 2229 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2 \sqrt{ 6 }\, \text{mm}$. | 2 |
| 2230 | Find the long base $ a $ of a trapezoid if short base $b = 170\, \text{cm}$ and side $c = 190\, \text{cm}$. | 2 |
| 2231 | Find the area $ A $ of a trapezoid if long base $a = 3.14\, \text{m}$, short base $b = 0.6\, \text{m}$ and side $c = 6.517\, \text{m}$. | 2 |
| 2232 | Find the height $ h $ of a trapezoid if long base $a = 3.14\, \text{mm}$, short base $b = 0.6\, \text{mm}$ and side $c = 6.517\, \text{mm}$. | 2 |
| 2233 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$ and side $c = 37.9\, \text{mm}$. | 2 |
| 2234 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$. | 2 |
| 2235 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$ and short base $b = 2300\, \text{mm}$. | 2 |
| 2236 | Find the long base $ a $ of a trapezoid if short base $b = 120\, \text{mm}$, side $c = 90\, \text{mm}$ and median $m = 81.24\, \text{mm}$. | 2 |
| 2237 | Find the angle $ \beta $ of a trapezoid if long base $a = 14.31\, \text{mm}$, short base $b = 1.344\, \text{mm}$ and side $c = 10.477\, \text{mm}$. | 2 |
| 2238 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10.596\, \text{mm}$, short base $b = 3.065\, \text{mm}$ and side $c = 10.559\, \text{mm}$. | 2 |
| 2239 | Find the long base $ a $ of a trapezoid if long base $a = 16.875\, \text{mm}$ and short base $b = 7.875\, \text{mm}$. | 2 |
| 2240 | Find the side $ c $ of a trapezoid if long base $a = 21.44\, \text{mm}$ and short base $b = 9.5\, \text{mm}$. | 2 |
| 2241 | Find the side $ c $ of a trapezoid if long base $a = 21.44\, \text{mm}$, short base $b = 9.5\, \text{mm}$ and height $h = 41.375\, \text{mm}$. | 2 |
| 2242 | Find the side $ c $ of a trapezoid if long base $a = 9.75\, \text{mm}$, short base $b = 4.9\, \text{mm}$ and height $h = 17.75\, \text{mm}$. | 2 |
| 2243 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{in}$ and side $c = 1.6875\, \text{in}$. | 2 |
| 2244 | Find the long base $ a $ of a trapezoid if long base $a = 3.0625\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 1.6875\, \text{in}$. | 2 |
| 2245 | Find the angle $ \alpha $ of a trapezoid if long base $a = 3.0625\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 1.6875\, \text{in}$. | 2 |
| 2246 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 52.75\, \text{in}$, side $c = 52.75\, \text{in}$ and height $h = 106.75\, \text{mm}$. | 2 |
| 2247 | Find the angle $ \alpha $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 52.75\, \text{in}$ and height $h = 106.75\, \text{mm}$. | 2 |
| 2248 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{ft}$, short base $b = 8\, \text{ft}$ and side $c = 21\, \text{ft}$. | 2 |
| 2249 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5.54\, \text{mm}$, short base $b = 3.96\, \text{mm}$ and height $h = 0.97\, \text{mm}$. | 2 |
| 2250 | Find the long base $ a $ of a trapezoid if long base $a = 47\, \text{ft}$, short base $b = 13\, \text{ft}$ and side $c = 25\, \text{ft}$. | 2 |
