Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7801 | Find the long base $ a $ of a trapezoid if angle $\alpha = 45^o$. | 1 |
| 7802 | Find the long base $ a $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 60\, \text{mm}$ and height $h = 60\, \text{mm}$. | 1 |
| 7803 | Find the area $ A $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 60\, \text{mm}$ and height $h = 60\, \text{mm}$. | 1 |
| 7804 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 77\, \text{mm}$, side $c = 20\, \text{mm}$ and diagonal $d = 20\, \text{mm}$. | 1 |
| 7805 | Find the angle $ \alpha $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 77\, \text{mm}$, side $c = 20\, \text{mm}$ and diagonal $d = 20\, \text{mm}$. | 1 |
| 7806 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 6\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7807 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, side $c = 14.757\, \text{ft}$, height $h = 14\, \text{ft}$, angle $\alpha = 71.565^o$ and angle $\beta = 18.435^o$. | 1 |
| 7808 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, side $c = 14.757\, \text{ft}$ and height $h = 14\, \text{ft}$. | 1 |
| 7809 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, side $c = 8.43\, \text{ft}$, height $h = 8\, \text{ft}$, angle $\alpha = 71.565^o$ and angle $\beta = 18.435^o$. | 1 |
| 7810 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{ft}$, side $c = 8.433\, \text{ft}$ and height $h = 8\, \text{ft}$. | 1 |
| 7811 | Find the diagonal $ d $ of a trapezoid if long base $a = 273\, \text{cm}$ and short base $b = 14\, \text{cm}$. | 1 |
| 7812 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 5\, \text{mm}$, side $c = 9\, \text{in}$ and angle $\beta = 45^o$. | 1 |
| 7813 | Find the long base $ a $ of a trapezoid if short base $b = 79\, \text{in}$, side $c = 156\, \text{in}$ and height $h = 143\, \text{in}$. | 1 |
| 7814 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 34\, \text{mm}$ and side $c = 15\, \text{mm}$. | 1 |
| 7815 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{dm}$, short base $b = 18\, \text{cm}$ and height $h = 10\, \text{cm}$. | 1 |
| 7816 | Find the long base $ a $ of a trapezoid if height $h = 70\, \text{cm}$, angle $\alpha = 10^o$ and angle $\beta = 170^o$. | 1 |
| 7817 | Find the long base $ a $ of a trapezoid if long base $a = 120\, \text{cm}$, height $h = 70\, \text{cm}$ and angle $\alpha = 10^o$. | 1 |
| 7818 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 36\, \text{in}$ and height $h = 36\, \text{in}$. | 1 |
| 7819 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 36\, \text{mm}$. | 1 |
| 7820 | Find the short base $ b $ of a trapezoid if long base $a = 96\, \text{in}$, side $c = 36\, \text{in}$ and diagonal $d = 102\, \text{in}$. | 1 |
| 7821 | Find the short base $ b $ of a trapezoid if long base $a = 96\, \text{in}$, side $c = 36\, \text{in}$, diagonal $d = 102\, \text{in}$, angle $\alpha = 20^o$ and angle $\beta = 69^o$. | 1 |
| 7822 | Find the median $ m $ of a trapezoid if long base $a = 6400\, \text{mm}$, short base $b = 4000\, \text{mm}$ and height $h = 1200\, \text{mm}$. | 1 |
| 7823 | Find the perimeter $ P $ of a trapezoid if long base $a = 6400\, \text{mm}$, short base $b = 4000\, \text{mm}$, side $c = 1697\, \text{mm}$, diagonal $d = 5337\, \text{mm}$, height $h = 1200\, \text{mm}$, median $m = 5200\, \text{mm}$ and area $A = 6240\, \text{mm}^2$. | 1 |
| 7824 | Find the long base $ a $ of a trapezoid if side $c = 2\, \text{mm}$. | 1 |
| 7825 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$, height $h = 11\, \text{mm}$ and area $A = 209\, \text{mm}^2$. | 1 |
| 7826 | Find the long base $ a $ of a trapezoid if short base $b = 14\, \text{mm}$, height $h = 11\, \text{mm}$ and area $A = 209\, \text{mm}^2$. | 1 |
| 7827 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 287 }{ 8 }\, \text{in}$, side $c = 17.227\, \text{in}$, height $h = 17\, \text{in}$, angle $\alpha = 80.691^o$ and angle $\beta = 99.309^o$. | 1 |
| 7828 | Find the short base $ b $ of a trapezoid if long base $a = 120\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 47.5707^o$. | 1 |
| 7829 | Find the side $ c $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 12\, \text{mm}$, height $h = 16\, \text{mm}$ and area $A = 448\, \text{mm}^2$. | 1 |
| 7830 | Find the height $ h $ of a trapezoid if short base $b = 3\, \text{in}$, side $c = 16\, \text{in}$ and angle $\alpha = 23.927^o$. | 1 |
| 7831 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{in}$, height $h = 6.4892\, \text{in}$ and angle $\alpha = 23.927^o$. | 1 |
| 7832 | Find the short base $ b $ of a trapezoid if long base $a = 27.78\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 7833 | Find the short base $ b $ of a trapezoid if long base $a = 27.78\, \text{in}$, short base $b = 13.89\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 7834 | Find the angle $ \alpha $ of a trapezoid if long base $a = 27.78\, \text{in}$, short base $b = 13.89\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 7835 | Find the height $ h $ of a trapezoid if long base $a = 27.78\, \text{in}$, short base $b = 13.89\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 7836 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$. | 1 |
| 7837 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$ and side $c = 3\, \text{mm}$. | 1 |
| 7838 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{mm}$, height $h = 7.6\, \text{mm}$ and area $A = 98.8\, \text{mm}^2$. | 1 |
| 7839 | Find the short base $ b $ of a trapezoid if long base $a = 59.5\, \text{in}$, height $h = 19.5\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 7840 | Find the long base $ a $ of a trapezoid if long base $a = 4.4641\, \text{mm}$, short base $b = 1\, \text{mm}$ and side $c = 2\, \text{mm}$. | 1 |
| 7841 | Find the area $ A $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 1\, \text{mm}$ and side $c = \sqrt{ 2 }\, \text{mm}$. | 1 |
| 7842 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{m}$, height $h = 10\, \text{m}$, angle $\alpha = 26^o$ and angle $\beta = 154^o$. | 1 |
| 7843 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{m}$, height $h = 10\, \text{m}$ and angle $\beta = 154^o$. | 1 |
| 7844 | Find the long base $ a $ of a trapezoid if long base $a = 1.19\, \text{mm}$, short base $b = 0.833\, \text{mm}$ and height $h = 1.71\, \text{mm}$. | 1 |
| 7845 | Find the angle $ \beta $ of a trapezoid if long base $a = 1.19\, \text{mm}$, short base $b = 0.833\, \text{mm}$ and height $h = 1.71\, \text{mm}$. | 1 |
| 7846 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{ft}$, side $c = 10\, \text{ft}$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 1 |
| 7847 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 17.5\, \text{in}$ and side $c = 23\, \text{in}$. | 1 |
| 7848 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{ft}$, side $c = 10\, \text{ft}$ and height $h = 118\, \text{in}$. | 1 |
| 7849 | Find the diagonal $ d $ of a trapezoid if short base $b = 5\, \text{ft}$, side $c = 10\, \text{ft}$ and height $h = 118\, \text{in}$. | 1 |
| 7850 | Find the diagonal $ d $ of a trapezoid if short base $b = 8\, \text{ft}$, side $c = 10\, \text{ft}$ and height $h = 118\, \text{in}$. | 1 |
