Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5151 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, height $h = 28\, \text{in}$ and angle $\alpha = 80^o$. | 2 |
| 5152 | Find the area $ A $ of a trapezoid if long base $a = 64\, \text{ft}$, short base $b = 49\, \text{ft}$ and side $c = 33\, \text{ft}$. | 2 |
| 5153 | Find the short base $ b $ of a trapezoid if long base $a = 6.875\, \text{in}$, side $c = 12\, \text{in}$, height $h = 11.3\, \text{in}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 5154 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 9\, \text{mm}$. | 2 |
| 5155 | Find the diagonal $ d $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 4\, \text{in}$ and side $c = 5.1\, \text{in}$. | 2 |
| 5156 | Find the long base $ a $ of a trapezoid if long base $a = 0.004\, \text{mm}$, short base $b = 0.002\, \text{mm}$, angle $\alpha = 105^o$ and angle $\beta = 75^o$. | 2 |
| 5157 | Find the angle $ \beta $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 13\, \text{mm}$ and height $h = 17\, \text{mm}$. | 2 |
| 5158 | Find the long base $ a $ of a trapezoid if short base $b = 1.7\, \text{in}$ and height $h = 10.338\, \text{in}$. | 2 |
| 5159 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 6\, \text{ft}$ and height $h = 2\, \text{ft}$. | 2 |
| 5160 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 6\, \text{ft}$ and height $h = 1\, \text{ft}$. | 2 |
| 5161 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{ft}$, short base $b = 9.5\, \text{ft}$ and height $h = 13.5\, \text{ft}$. | 2 |
| 5162 | Find the long base $ a $ of a trapezoid if long base $a = 240\, \text{mm}$, side $c = 162\, \text{mm}$, height $h = 87\, \text{mm}$ and angle $\alpha = 70^o$. | 2 |
| 5163 | Find the side $ c $ of a trapezoid if long base $a = 3.9051\, \text{in}$, short base $b = 1.8028\, \text{in}$ and height $h = 5.099\, \text{in}$. | 2 |
| 5164 | Find the long base $ a $ of a trapezoid if long base $a = 160\, \text{mm}$, short base $b = 30\, \text{mm}$ and height $h = 0.15\, \text{mm}$. | 2 |
| 5165 | Find the long base $ a $ of a trapezoid if long base $a = 160\, \text{mm}$, short base $b = 30\, \text{mm}$ and height $h = 15\, \text{mm}$. | 2 |
| 5166 | Find the long base $ a $ of a trapezoid if long base $a = 27\, \text{cm}$, short base $b = 8\, \text{cm}$, side $c = 10\, \text{cm}$ and height $h = 6\, \text{cm}$. | 2 |
| 5167 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 56\, \text{in}$. | 2 |
| 5168 | Find the side $ c $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 56\, \text{in}$. | 2 |
| 5169 | Find the median $ m $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 56\, \text{in}$. | 2 |
| 5170 | Find the side $ c $ of a trapezoid if long base $a = 1.6\, \text{cm}$, short base $b = \frac{ 5 }{ 6 }\, \text{cm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5171 | Find the long base $ a $ of a trapezoid if long base $a = 56\, \text{ft}$, short base $b = 37\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 5172 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{ft}$, short base $b = 37\, \text{mm}$ and angle $\alpha = 40^o$. | 2 |
| 5173 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{ft}$, short base $b = 37\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 5174 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 3\, \text{in}$. | 2 |
| 5175 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.375\, \text{in}$ and height $h = 17\, \text{in}$. | 2 |
| 5176 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 6.375\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 5177 | Find the long base $ a $ of a trapezoid if long base $a = 26.5\, \text{mm}$, short base $b = 10.6\, \text{mm}$, side $c = 21.9\, \text{mm}$ and height $h = 21.2\, \text{mm}$. | 2 |
| 5178 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 11\, \text{mm}$ and height $h = 9\, \text{mm}$. | 2 |
| 5179 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 11\, \text{mm}$ and height $h = 9\, \text{mm}$. | 2 |
| 5180 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5181 | Find the angle $ \beta $ of a trapezoid if long base $a = 21\, \text{ft}$, short base $b = 5\, \text{ft}$ and angle $\alpha = 60^o$. | 2 |
| 5182 | Find the height $ h $ of a trapezoid if long base $a = 21\, \text{ft}$, short base $b = 5\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5183 | Find the long base $ a $ of a trapezoid if long base $a = 106.5\, \text{in}$, short base $b = 46\, \text{in}$, side $c = 60\, \text{in}$ and diagonal $d = 60\, \text{in}$. | 2 |
| 5184 | Find the long base $ a $ of a trapezoid if long base $a = 106.5\, \text{in}$, short base $b = 46\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 5185 | Find the angle $ \beta $ of a trapezoid if long base $a = 106.5\, \text{in}$, short base $b = 46\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 5186 | Find the short base $ b $ of a trapezoid if long base $a = 6\, \text{km}$, height $h = 1400\, \text{m}$ and area $A = 7\, \text{km}^2$. | 2 |
| 5187 | Find the long base $ a $ of a trapezoid if long base $a = 16.33\, \text{mm}$, height $h = 7.9\, \text{mm}$ and angle $\alpha = 10^o$. | 2 |
| 5188 | Find the short base $ b $ of a trapezoid if long base $a = 16.33\, \text{mm}$, height $h = 7.9\, \text{mm}$ and angle $\alpha = 10^o$. | 2 |
| 5189 | Find the side $ c $ of a trapezoid if long base $a = 16.33\, \text{mm}$, height $h = 7.9\, \text{mm}$ and angle $\alpha = 170^o$. | 2 |
| 5190 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 20\, \text{mm}$, side $c = 6\, \text{mm}$ and area $A = 26\, \text{mm}^2$. | 2 |
| 5191 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 20\, \text{mm}$, side $c = 6\, \text{mm}$ and area $A = 26\, \text{mm}^2$. | 2 |
| 5192 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$ and height $h = 0.25\, \text{mm}$. | 2 |
| 5193 | Find the long base $ a $ of a trapezoid if long base $a = 65\, \text{m}$, short base $b = 50\, \text{mm}$ and side $c = 40\, \text{mm}$. | 2 |
| 5194 | Find the height $ h $ of a trapezoid if long base $a = 65\, \text{ft}$, short base $b = 50\, \text{ft}$ and side $c = 40\, \text{ft}$. | 2 |
| 5195 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, height $h = 3\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 5196 | Find the long base $ a $ of a trapezoid if long base $a = 4.32\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 2.34\, \text{mm}$. | 2 |
| 5197 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 50\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 5198 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 6\, \text{mm}$, height $h = 6\, \text{mm}$ and median $m = 3\, \text{mm}$. | 2 |
| 5199 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 18.11\, \text{mm}$. | 2 |
| 5200 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{mm}$ and short base $b = 6\, \text{mm}$. | 2 |
