Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3201 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, height $h = 20\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
| 3202 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 25\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
| 3203 | Find the height $ h $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 30\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
| 3204 | Find the height $ h $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 35\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
| 3205 | Find the height $ h $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 80\, \text{mm}$ and side $c = 25\, \text{mm}$. | 2 |
| 3206 | Find the median $ m $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 80\, \text{mm}$ and height $h = 50\, \text{mm}$. | 2 |
| 3207 | Find the height $ h $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 80\, \text{mm}$ and median $m = 125\, \text{mm}$. | 2 |
| 3208 | Find the height $ h $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 60\, \text{mm}$, side $c = 125\, \text{mm}$ and median $m = 98\, \text{mm}$. | 2 |
| 3209 | Find the long base $ a $ of a trapezoid if short base $b = 47\, \text{mm}$, side $c = 30\, \text{mm}$ and area $A = 62.5\, \text{mm}^2$. | 2 |
| 3210 | Find the long base $ a $ of a trapezoid if long base $a = 117\, \text{mm}$, short base $b = 71\, \text{mm}$, side $c = 82\, \text{mm}$ and diagonal $d = 120\, \text{mm}$. | 2 |
| 3211 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 3212 | Find the side $ c $ of a trapezoid if long base $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$, angle $\alpha = 89.9^o$ and angle $\beta = 90.1^o$. | 2 |
| 3213 | Find the side $ c $ of a trapezoid if long base $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$ and angle $\alpha = 89.9^o$. | 2 |
| 3214 | Find the side $ c $ of a trapezoid if long base $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$ and angle $\beta = 90.1^o$. | 2 |
| 3215 | 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 |
| 3216 | 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 |
| 3217 | 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 |
| 3218 | Find the long base $ a $ of a trapezoid if height $h = 22\, \text{in}$, angle $\alpha = 98^o$ and angle $\beta = 82^o$. | 2 |
| 3219 | 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 |
| 3220 | 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 |
| 3221 | 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 |
| 3222 | 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 |
| 3223 | 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 |
| 3224 | 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 |
| 3225 | 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 |
| 3226 | 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 |
| 3227 | 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 |
| 3228 | 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 |
| 3229 | 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 |
| 3230 | 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 |
| 3231 | 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 |
| 3232 | 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 |
| 3233 | 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 |
| 3234 | 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 |
| 3235 | Find the long base $ a $ of a trapezoid if short base $b = 170\, \text{cm}$ and side $c = 190\, \text{cm}$. | 2 |
| 3236 | 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 |
| 3237 | 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 |
| 3238 | 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 |
| 3239 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$. | 2 |
| 3240 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$ and short base $b = 2300\, \text{mm}$. | 2 |
| 3241 | 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 |
| 3242 | 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 |
| 3243 | 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 |
| 3244 | 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 |
| 3245 | Find the side $ c $ of a trapezoid if long base $a = 21.44\, \text{mm}$ and short base $b = 9.5\, \text{mm}$. | 2 |
| 3246 | 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 |
| 3247 | 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 |
| 3248 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{in}$ and side $c = 1.6875\, \text{in}$. | 2 |
| 3249 | 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 |
| 3250 | 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 |