Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1151 | 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 |
| 1152 | 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 |
| 1153 | 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 |
| 1154 | 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 |
| 1155 | 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 |
| 1156 | 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 |
| 1157 | 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 |
| 1158 | 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 |
| 1159 | 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 |
| 1160 | 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 |
| 1161 | 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 |
| 1162 | 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 |
| 1163 | 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 |
| 1164 | 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 |
| 1165 | 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 |
| 1166 | 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 |
| 1167 | 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 |
| 1168 | Find the height $ h $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 22\, \text{in}$ and side $c = 18\, \text{in}$. | 3 |
| 1169 | Find the area $ A $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 17.89\, \text{in}$. | 3 |
| 1170 | Find the short base $ b $ of a trapezoid if long base $a = 66\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1171 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{in}$, height $h = 14\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 67.5^o$. | 3 |
| 1172 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 34.5\, \text{in}$. | 3 |
| 1173 | Find the height $ h $ of a trapezoid if long base $a = 33\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 34.5\, \text{in}$. | 3 |
| 1174 | Find the long base $ a $ of a trapezoid if side $c = 30\, \text{in}$, height $h = 33\, \text{in}$ and angle $\alpha = 71^o$. | 3 |
| 1175 | Find the short base $ b $ of a trapezoid if long base $a = 83.5\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 22.5^o$. | 3 |
| 1176 | Find the area $ A $ of a trapezoid if long base $a = 2.3\, \text{mm}$, height $h = 3.5\, \text{mm}$ and angle $\alpha = 60^o$. | 3 |
| 1177 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 70\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 3 |
| 1178 | Find the short base $ b $ of a trapezoid if long base $a = 84.5\, \text{in}$, height $h = 13.75\, \text{in}$ and angle $\alpha = 60^o$. | 3 |
| 1179 | Find the side $ c $ of a trapezoid if long base $a = 4000\, \text{mm}$, angle $\alpha = 68.6667^o$ and angle $\beta = 72.1667^o$. | 3 |
| 1180 | Find the short base $ b $ of a trapezoid if long base $a = 230\, \text{mm}$, side $c = 60\, \text{mm}$ and diagonal $d = 60\, \text{mm}$. | 3 |
| 1181 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 51\, \text{in}$ and side $c = 24\, \text{in}$. | 3 |
| 1182 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{in}$, short base $b = 9.7\, \text{in}$, side $c = 106.5\, \text{in}$, angle $\alpha = 88.4^o$ and angle $\beta = 91.5^o$. | 3 |
| 1183 | Find the short base $ b $ of a trapezoid if long base $a = 48\, \text{in}$ and side $c = 28\, \text{in}$. | 3 |
| 1184 | Find the angle $ \alpha $ of a trapezoid if ???. | 3 |
| 1185 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, diagonal $d = 24\, \text{mm}$ and height $h = 20\, \text{mm}$. | 3 |
| 1186 | Find the long base $ a $ of a trapezoid if long base $a = 450\, \text{mm}$, side $c = 300\, \text{mm}$ and height $h = 300\, \text{mm}$. | 3 |
| 1187 | 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 |
| 1188 | 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 |
| 1189 | 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 |
| 1190 | Find the short base $ b $ of a trapezoid if long base $a = 2.2\, \text{mm}$ and angle $\alpha = 55^o$. | 3 |
| 1191 | 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 |
| 1192 | 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 |
| 1193 | Find the long base $ a $ of a trapezoid if long base $a = 54.5\, \text{in}$. | 3 |
| 1194 | 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 |
| 1195 | 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 |
| 1196 | 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 |
| 1197 | 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 |
| 1198 | Find the diagonal $ d $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 72\, \text{in}$. | 3 |
| 1199 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 53.625\, \text{in}$. | 3 |
| 1200 | Find the side $ c $ of a trapezoid if long base $a = 11\, \text{cm}$, short base $b = 8\, \text{cm}$ and median $m = 9.5\, \text{cm}$. | 3 |
