Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3151 | Find the short base $ b $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.1892^o$ and angle $\beta = 118.8105^o$. | 2 |
| 3152 | Find the short base $ b $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.2^o$ and angle $\beta = 118.8105^o$. | 2 |
| 3153 | Find the short base $ b $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.2^o$ and angle $\beta = 118.8^o$. | 2 |
| 3154 | Find the long base $ a $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 3155 | Find the side $ c $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 3156 | Find the angle $ \alpha $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 3157 | Find the angle $ \beta $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 3158 | Find the long base $ a $ of a trapezoid if side $c = 39\, \text{mm}$, diagonal $d = 54\, \text{mm}$ and height $h = 20\, \text{mm}$. | 2 |
| 3159 | Find the area $ A $ of a trapezoid if short base $b = 18\, \text{cm}$, height $h = 9\, \text{cm}$ and angle $\alpha = 45^o$. | 2 |
| 3160 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 61 }{ 2 }\, \text{mm}$, short base $b = \frac{ 31 }{ 2 }\, \text{mm}$ and area $A = \frac{ 221 }{ 2 }\, \text{mm}^2$. | 2 |
| 3161 | Find the perimeter $ P $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 30\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 3162 | Find the perimeter $ P $ of a trapezoid if long base $a = 30\, \text{mm}$, short base $b = 36\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3163 | Find the side $ c $ of a trapezoid if long base $a = 13\, \text{mm}$ and short base $b = 4\, \text{mm}$. | 2 |
| 3164 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 3165 | Find the angle $ \alpha $ of a trapezoid if long base $a = 17\, \text{cm}$, short base $b = 15\, \text{cm}$ and height $h = 4\, \text{cm}$. | 2 |
| 3166 | Find the long base $ a $ of a trapezoid if angle $\alpha = 100^o$ and angle $\beta = 77^o$. | 2 |
| 3167 | Find the long base $ a $ of a trapezoid if long base $a = 66\, \text{mm}$, short base $b = 34\, \text{mm}$ and side $c = 62\, \text{mm}$. | 2 |
| 3168 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{cm}$ and angle $\alpha = 40^o$. | 2 |
| 3169 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{cm}$, angle $\alpha = 40^o$ and angle $\beta = 120^o$. | 2 |
| 3170 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{cm}$. | 2 |
| 3171 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{cm}$, side $c = 1200\, \text{cm}$ and angle $\alpha = 40^o$. | 2 |
| 3172 | Find the short base $ b $ of a trapezoid if long base $a = 25\, \text{mm}$, angle $\alpha = 18.43^o$ and angle $\beta = 161.57^o$. | 2 |
| 3173 | Find the long base $ a $ of a trapezoid if short base $b = 30\, \text{in}$, height $h = 25.5\, \text{in}$ and angle $\beta = 112.5^o$. | 2 |
| 3174 | Find the long base $ a $ of a trapezoid if long base $a = 68\, \text{mm}$ and angle $\alpha = 1.146^o$. | 2 |
| 3175 | Find the short base $ b $ of a trapezoid if long base $a = 68\, \text{mm}$ and angle $\alpha = 1.146^o$. | 2 |
| 3176 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 20\, \text{mm}$, angle $\alpha = 65^o$ and angle $\beta = 115^o$. | 2 |
| 3177 | Find the side $ c $ of a trapezoid if long base $a = 34\, \text{cm}$, short base $b = 27\, \text{cm}$ and height $h = 19\, \text{cm}$. | 2 |
| 3178 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{in}$ and height $h = 8\, \text{in}$. | 2 |
| 3179 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{in}$, height $h = 8\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3180 | Find the long base $ a $ of a trapezoid if short base $b = 700\, \text{mm}$, side $c = 560\, \text{mm}$, diagonal $d = 500\, \text{mm}$, median $m = 700\, \text{mm}$ and angle $\beta = 90^o$. | 2 |
| 3181 | Find the diagonal $ d $ of a trapezoid if long base $a = 53\, \text{ft}$, short base $b = 37\, \text{ft}$, height $h = 16\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3182 | Find the side $ c $ of a trapezoid if long base $a = 30\, \text{m}$, short base $b = 14\, \text{m}$, height $h = 15\, \text{m}$ and median $m = 22\, \text{m}$. | 2 |
| 3183 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{in}$, height $h = 6\, \text{in}$ and angle $\beta = 27.9^o$. | 2 |
| 3184 | Find the angle $ \alpha $ of a trapezoid if long base $a = 3.4375\, \text{in}$, short base $b = 2\, \text{in}$ and height $h = 6.5\, \text{in}$. | 2 |
| 3185 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 27.9^o$. | 2 |
| 3186 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 4.125\, \text{in}$ and height $h = 12.875\, \text{in}$. | 2 |
| 3187 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 4.125\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 3188 | Find the long base $ a $ of a trapezoid if long base $a = 0.151\, \text{in}$, height $h = 0.375\, \text{in}$ and angle $\alpha = 3^o$. | 2 |
| 3189 | Find the long base $ a $ of a trapezoid if long base $a = 2360\, \text{mm}$, side $c = 1900\, \text{mm}$, height $h = 1900\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3190 | Find the side $ c $ of a trapezoid if long base $a = 47.5\, \text{ft}$, short base $b = 35.75\, \text{ft}$, side $c = 40\, \text{ft}$ and diagonal $d = 41.69\, \text{ft}$. | 2 |
| 3191 | Find the long base $ a $ of a trapezoid if long base $a = 59\, \text{mm}$, short base $b = 25\, \text{mm}$ and height $h = 38\, \text{mm}$. | 2 |
| 3192 | Find the area $ A $ of a trapezoid if long base $a = 27\, \text{mm}$, short base $b = 24\, \text{mm}$ and side $c = 26\, \text{mm}$. | 2 |
| 3193 | Find the diagonal $ d $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 2\, \text{mm}$ and angle $\alpha = 50^o$. | 2 |
| 3194 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3195 | Find the long base $ a $ of a trapezoid if long base $a = 1246\, \text{mm}$, height $h = 925\, \text{mm}$ and angle $\alpha = 17^o$. | 2 |
| 3196 | Find the long base $ a $ of a trapezoid if side $c = 2188.7\, \text{mm}$, diagonal $d = 3164\, \text{mm}$, height $h = 925\, \text{mm}$, median $m = 1246\, \text{mm}$, angle $\alpha = 17^o$ and angle $\beta = 155^o$. | 2 |
| 3197 | Find the long base $ a $ of a trapezoid if side $c = 2188.7\, \text{mm}$, height $h = 925\, \text{mm}$, median $m = 1246\, \text{mm}$ and angle $\alpha = 17^o$. | 2 |
| 3198 | Find the long base $ a $ of a trapezoid if height $h = 925\, \text{mm}$, median $m = 1246\, \text{mm}$ and angle $\alpha = 25^o$. | 2 |
| 3199 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 28\, \text{in}$. | 2 |
| 3200 | Find the long base $ a $ of a trapezoid if long base $a = 2990\, \text{mm}$ and short base $b = 1900\, \text{mm}$. | 2 |
