Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1201 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{mm}$, side $c = 24\, \text{mm}$ and height $h = 20\, \text{mm}$. | 3 |
| 1202 | Find the side $ c $ of a trapezoid if long base $a = 99\, \text{cm}$, short base $b = 44\, \text{cm}$ and height $h = 60\, \text{cm}$. | 3 |
| 1203 | Find the side $ c $ of a trapezoid if long base $a = 25\, \text{in}$, short base $b = 12.8\, \text{in}$ and side $c = 17.1\, \text{in}$. | 3 |
| 1204 | Find the short base $ b $ of a trapezoid if long base $a = 2.2\, \text{mm}$ and angle $\alpha = 55^o$. | 3 |
| 1205 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 36\, \text{mm}$, side $c = 9\, \text{in}$ and diagonal $d = 9\, \text{in}$. | 3 |
| 1206 | Find the height $ h $ of a trapezoid if long base $a = 816\, \text{mm}$, angle $\alpha = 31.82^o$ and angle $\beta = 148.18^o$. | 3 |
| 1207 | Find the long base $ a $ of a trapezoid if long base $a = 54.5\, \text{in}$. | 3 |
| 1208 | Find the long base $ a $ of a trapezoid if short base $b = 7.3125\, \text{in}$, side $c = 12.4\, \text{in}$ and height $h = 10\, \text{in}$. | 3 |
| 1209 | Find the long base $ a $ of a trapezoid if short base $b = 28\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 3 |
| 1210 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$ and angle $\alpha = 40^o$. | 3 |
| 1211 | Find the long base $ a $ of a trapezoid if short base $b = 40.375\, \text{in}$, side $c = 6.5\, \text{mm}$ and height $h = 5.25\, \text{mm}$. | 3 |
| 1212 | Find the angle $ \alpha $ of a trapezoid if long base $a = 9.25\, \text{in}$, short base $b = 8.25\, \text{in}$ and height $h = 60\, \text{in}$. | 3 |
| 1213 | Find the side $ c $ of a trapezoid if long base $a = 3.866\, \text{in}$, short base $b = 3.285\, \text{in}$ and angle $\beta = 100^o$. | 3 |
| 1214 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, height $h = 6\, \text{in}$ and area $A = 48\, \text{m}^2$. | 3 |
| 1215 | Find the short base $ b $ of a trapezoid if long base $a = 307\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 45^o$. | 3 |
| 1216 | Find the long base $ a $ of a trapezoid if long base $a = 6.3\, \text{in}$, short base $b = 2.1\, \text{in}$ and height $h = 3\, \text{in}$. | 3 |
| 1217 | Find the long base $ a $ of a trapezoid if long base $a = 8.36\, \text{mm}$, short base $b = 7.11\, \text{mm}$ and height $h = 1.8\, \text{mm}$. | 3 |
| 1218 | Find the short base $ b $ of a trapezoid if long base $a = 34\, \text{mm}$, side $c = 30\, \text{mm}$ and median $m = 27\, \text{mm}$. | 3 |
| 1219 | Find the diagonal $ d $ of a trapezoid if long base $a = 270\, \text{in}$, short base $b = 72\, \text{mm}$ and side $c = 192\, \text{mm}$. | 3 |
| 1220 | Find the long base $ a $ of a trapezoid if long base $a = 20.5\, \text{ft}$, short base $b = 4\, \text{ft}$ and side $c = 14\, \text{ft}$. | 3 |
| 1221 | Find the long base $ a $ of a trapezoid if long base $a = 1000\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 3 |
| 1222 | Find the short base $ b $ of a trapezoid if long base $a = 1000\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 3 |
| 1223 | Find the side $ c $ of a trapezoid if long base $a = 7.5\, \text{in}$, short base $b = 3\, \text{in}$ and angle $\beta = 127^o$. | 3 |
| 1224 | Find the area $ A $ of a trapezoid if long base $a = 255\, \text{mm}$, height $h = 15\, \text{mm}$ and angle $\alpha = 55^o$. | 3 |
| 1225 | Find the short base $ b $ of a trapezoid if long base $a = 167\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 41^o$. | 3 |
| 1226 | Find the short base $ b $ of a trapezoid if long base $a = 590\, \text{mm}$ and side $c = 700\, \text{mm}$. | 3 |
| 1227 | Find the long base $ a $ of a trapezoid if short base $b = 29\, \text{ft}$, height $h = 9\, \text{ft}$ and area $A = 193.5\, \text{ft}^2$. | 3 |
| 1228 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{in}$, side $c = 36\, \text{in}$, height $h = 36\, \text{in}$ and angle $\alpha = 90^o$. | 3 |
| 1229 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, side $c = 30\, \text{mm}$ and angle $\beta = 45^o$. | 3 |
| 1230 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 60\, \text{mm}$ and side $c = 48\, \text{in}$. | 3 |
| 1231 | Find the long base $ a $ of a trapezoid if long base $a = 6.5\, \text{in}$, height $h = 3\, \text{in}$ and median $m = 4\, \text{mm}$. | 3 |
| 1232 | Find the side $ c $ of a trapezoid if long base $a = 29\, \text{ft}$, short base $b = 13\, \text{ft}$ and height $h = 10\, \text{ft}$. | 3 |
| 1233 | Find the long base $ a $ of a trapezoid if height $h = 850\, \text{mm}$, median $m = 500\, \text{mm}$ and angle $\alpha = 40^o$. | 3 |
| 1234 | Find the diagonal $ d $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 36\, \text{in}$. | 3 |
| 1235 | Find the long base $ a $ of a trapezoid if long base $a = 418\, \text{mm}$, short base $b = 280\, \text{mm}$ and height $h = 518\, \text{mm}$. | 3 |
| 1236 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1237 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{ft}$, height $h = 17.37\, \text{ft}$, angle $\alpha = 47.41^o$ and angle $\beta = 132.6^o$. | 3 |
| 1238 | Find the long base $ a $ of a trapezoid if short base $b = 187.72\, \text{mm}$, height $h = 300\, \text{mm}$ and angle $\beta = 94.5^o$. | 3 |
| 1239 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$ and short base $b = 50\, \text{mm}$. | 3 |
| 1240 | Find the short base $ b $ of a trapezoid if long base $a = 16.5\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 70^o$. | 3 |
| 1241 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{m}$, height $h = 8\, \text{m}$ and area $A = 100\, \text{m}^2$. | 3 |
| 1242 | Find the side $ c $ of a trapezoid if long base $a = 530\, \text{mm}$, short base $b = 330\, \text{mm}$ and height $h = 570\, \text{mm}$. | 3 |
| 1243 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 3 |
| 1244 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{mm}$, height $h = 18\, \text{mm}$ and area $A = 756\, \text{mm}^2$. | 3 |
| 1245 | Find the height $ h $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$, side $c = 1\, \text{mm}$ and perimeter $P = 6\, \text{mm}$. | 3 |
| 1246 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{in}$, side $c = 12.5\, \text{in}$ and angle $\alpha = 85^o$. | 3 |
| 1247 | Find the long base $ a $ of a trapezoid if long base $a = 907\, \text{mm}$, short base $b = 190.5\, \text{mm}$ and side $c = 336.5\, \text{mm}$. | 3 |
| 1248 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 3\, \text{mm}$, side $c = 9.5\, \text{mm}$, diagonal $d = 7.5\, \text{mm}$, height $h = 6.5\, \text{mm}$ and median $m = 18\, \text{mm}$. | 3 |
| 1249 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{cm}$, short base $b = 3\, \text{cm}$ and angle $\alpha = 70^o$. | 3 |
| 1250 | Find the angle $ \beta $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 30\, \text{in}$, side $c = 60\, \text{in}$ and diagonal $d = 60\, \text{in}$. | 3 |
