Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9801 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 9802 | Find the angle $ \beta $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 9803 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9804 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 2\, \text{in}$, side $c = 12\, \text{mm}$ and diagonal $d = 12\, \text{mm}$. | 1 |
| 9805 | Find the long base $ a $ of a trapezoid if angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9806 | Find the long base $ a $ of a trapezoid if side $c = 20\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9807 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{ft}$, side $c = 20\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9808 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9809 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 22\, \text{mm}$ and height $h = 20.5\, \text{mm}$. | 1 |
| 9810 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 22\, \text{mm}$ and angle $\alpha = 18^o$. | 1 |
| 9811 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mm}$, short base $b = 15\, \text{mm}$ and side $c = 14\, \text{mm}$. | 1 |
| 9812 | Find the area $ A $ of a trapezoid if side $c = 6 \sqrt{ 6 }\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 9813 | Find the area $ A $ of a trapezoid if side $c = 6 \sqrt{ 6 }\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 120^o$. | 1 |
| 9814 | Find the area $ A $ of a trapezoid if short base $b = 10\, \text{mm}$, side $c = 6 \sqrt{ 6 }\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 120^o$. | 1 |
| 9815 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 8\, \text{cm}$, side $c = 4 \sqrt{ 3 }\, \text{cm}$ and angle $\alpha = 60^o$. | 1 |
| 9816 | Find the angle $ \beta $ of a trapezoid if long base $a = 64.62\, \text{mm}$, short base $b = 54.23\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 9817 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{ft}$, short base $b = 210\, \text{mm}$ and height $h = 60\, \text{mm}$. | 1 |
| 9818 | Find the height $ h $ of a trapezoid if long base $a = 25.5\, \text{ft}$, short base $b = 6\, \text{ft}$ and height $h = 5.5\, \text{ft}$. | 1 |
| 9819 | Find the area $ A $ of a trapezoid if long base $a = 0.205\, \text{in}$, short base $b = 0.135\, \text{in}$ and height $h = 0.514\, \text{in}$. | 1 |
| 9820 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{yd}$, short base $b = 7\, \text{yd}$, median $m = 5\, \text{mm}$ and angle $\alpha = 4^o$. | 1 |
| 9821 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, side $c = 20\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 9822 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 9823 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 9824 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 20\, \text{mm}$. | 1 |
| 9825 | Find the side $ c $ of a trapezoid if height $h = 19.05\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9826 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 9827 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 9828 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9829 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 9830 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9831 | Find the angle $ \beta $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 9832 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 9833 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9834 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9835 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 9836 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\beta = 60^o$. | 1 |
| 9837 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\beta = 60^o$. | 1 |
| 9838 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 9839 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 9840 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 14\, \text{in}$. | 1 |
| 9841 | Find the long base $ a $ of a trapezoid if long base $a = 11.625\, \text{in}$, short base $b = 17.4375\, \text{in}$ and height $h = 16\, \text{in}$. | 1 |
| 9842 | Find the long base $ a $ of a trapezoid if area $A = 144001\, \text{mm}^2$, angle $\alpha = 70.584^o$ and angle $\beta = 19.416^o$. | 1 |
| 9843 | Find the side $ c $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 15.25\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 9844 | Find the diagonal $ d $ of a trapezoid if long base $a = 8\, \text{cm}$, short base $b = 2\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 9845 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9846 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{in}$, height $h = \frac{ 21 }{ 16 }\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9847 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{in}$, height $h = 2.0625\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9848 | Find the short base $ b $ of a trapezoid if long base $a = 25\, \text{mm}$ and median $m = 18\, \text{mm}$. | 1 |
| 9849 | Find the perimeter $ P $ of a trapezoid if long base $a = 27\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 12 \sqrt{ 2 }\, \text{mm}$. | 1 |
| 9850 | Find the median $ m $ of a trapezoid if long base $a = 1153\, \text{mm}$, short base $b = 1000\, \text{mm}$ and height $h = 1100\, \text{mm}$. | 1 |
