Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1751 | Find the long base $ a $ of a trapezoid if long base $a = 799\, \text{mm}$, short base $b = 678\, \text{mm}$ and height $h = 688\, \text{mm}$. | 3 |
| 1752 | Find the angle $ \beta $ of a trapezoid if long base $a = 11\, \text{in}$, short base $b = 8\, \text{in}$ and height $h = 11.5\, \text{in}$. | 3 |
| 1753 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 9.5\, \text{mm}$. | 3 |
| 1754 | Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{cm}$, height $h = 5\, \text{cm}$ and angle $\alpha = 60^o$. | 3 |
| 1755 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, side $c = 52\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 141.3402^o$. | 3 |
| 1756 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 4\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1757 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{cm}$ and side $c = 3\, \text{cm}$. | 3 |
| 1758 | Find the height $ h $ of a trapezoid if long base $a = 4.1\, \text{m}$, short base $b = 2.9\, \text{m}$ and angle $\beta = 120^o$. | 3 |
| 1759 | Find the angle $ \alpha $ of a trapezoid if long base $a = 54\, \text{in}$, short base $b = 30\, \text{in}$ and side $c = 60\, \text{in}$. | 3 |
| 1760 | Find the side $ c $ of a trapezoid if long base $a = 35\, \text{ft}$, short base $b = 26\, \text{ft}$ and height $h = 12.3\, \text{ft}$. | 3 |
| 1761 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{in}$, side $c = 15\, \text{ft}$ and area $A = 156\, \text{in}^2$. | 3 |
| 1762 | Find the area $ A $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 5\, \text{in}$ and side $c = 15\, \text{ft}$. | 3 |
| 1763 | Find the median $ m $ of a trapezoid if long base $a = 58.75\, \text{mm}$, short base $b = 44.46\, \text{mm}$ and height $h = 653\, \text{mm}$. | 3 |
| 1764 | Find the short base $ b $ of a trapezoid if long base $a = 15.5\, \text{in}$, height $h = 6\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1765 | Find the long base $ a $ of a trapezoid if long base $a = 15.5\, \text{in}$, short base $b = 10\, \text{in}$, side $c = 6\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1766 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 22.2\, \text{mm}$ and side $c = 52.2\, \text{cm}$. | 3 |
| 1767 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{mm}$, height $h = 14\, \text{mm}$ and angle $\alpha = 30^o$. | 3 |
| 1768 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 21\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1769 | Find the angle $ \beta $ of a trapezoid if long base $a = 68\, \text{in}$, short base $b = 26.5\, \text{in}$ and side $c = 41.5\, \text{in}$. | 3 |
| 1770 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{mm}$ and height $h = 15\, \text{in}$. | 3 |
| 1771 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{in}$ and height $h = 15\, \text{in}$. | 3 |
| 1772 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$, side $c = 6\, \text{in}$ and height $h = 5\, \text{in}$. | 3 |
| 1773 | Find the long base $ a $ of a trapezoid if long base $a = 56.25\, \text{in}$, short base $b = 30\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 30\, \text{in}$. | 3 |
| 1774 | Find the long base $ a $ of a trapezoid if long base $a = 101.18\, \text{mm}$, short base $b = 101.88\, \text{mm}$, side $c = 54.44\, \text{mm}$ and diagonal $d = 54.44\, \text{mm}$. | 3 |
| 1775 | Find the angle $ \beta $ of a trapezoid if long base $a = 2\, \text{in}$, short base $b = 1\, \text{in}$ and side $c = 4.5\, \text{in}$. | 3 |
| 1776 | Find the median $ m $ of a trapezoid if long base $a = 53\, \text{mm}$, short base $b = 35.02\, \text{mm}$ and height $h = 644\, \text{mm}$. | 3 |
| 1777 | Find the long base $ a $ of a trapezoid if long base $a = 78\, \text{mm}$, side $c = 28\, \text{mm}$ and height $h = 24\, \text{mm}$. | 3 |
| 1778 | Find the side $ c $ of a trapezoid if long base $a = 215\, \text{mm}$, short base $b = 85\, \text{mm}$, median $m = 115\, \text{mm}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 3 |
| 1779 | Find the long base $ a $ of a trapezoid if short base $b = 1.5\, \text{mm}$, height $h = 0.75\, \text{mm}$ and angle $\alpha = 45^o$. | 3 |
| 1780 | Find the median $ m $ of a trapezoid if long base $a = 17.92\, \text{mm}$ and short base $b = 7.02\, \text{mm}$. | 3 |
| 1781 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1.7321\, \text{mm}$ and side $c = 0.866\, \text{mm}$. | 3 |
| 1782 | Find the long base $ a $ of a trapezoid if long base $a = 23.019\, \text{cm}$, height $h = 14.3\, \text{cm}$ and angle $\alpha = 67^o$. | 3 |
| 1783 | Find the side $ c $ of a trapezoid if long base $a = 3\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 2\, \text{in}$. | 3 |
| 1784 | Find the diagonal $ d $ of a trapezoid if long base $a = 160\, \text{mm}$, short base $b = 96\, \text{mm}$ and side $c = 68\, \text{mm}$. | 3 |
| 1785 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{in}$, side $c = 24\, \text{in}$ and angle $\beta = 60^o$. | 3 |
| 1786 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 7\, \text{ft}$ and angle $\alpha = 90^o$. | 3 |
| 1787 | Find the long base $ a $ of a trapezoid if long base $a = 1083\, \text{mm}$, short base $b = 2300\, \text{mm}$ and side $c = 1694\, \text{mm}$. | 3 |
| 1788 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{in}$, angle $\alpha = 50^o$ and angle $\beta = 130^o$. | 3 |
| 1789 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{mm}$, short base $b = 4\, \text{mm}$ and angle $\alpha = 60^o$. | 3 |
| 1790 | Find the short base $ b $ of a trapezoid if long base $a = 7.5\, \text{mm}$, height $h = 2 \sqrt{ 3 }\, \text{mm}$ and area $A = 11 \sqrt{ 3 }\, \text{mm}^2$. | 3 |
| 1791 | Find the side $ c $ of a trapezoid if long base $a = 138\, \text{mm}$, short base $b = 96\, \text{mm}$ and height $h = 58\, \text{mm}$. | 3 |
| 1792 | Find the long base $ a $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 479.25\, \text{ft}^2$. | 3 |
| 1793 | Find the short base $ b $ of a trapezoid if long base $a = 37.9\, \text{ft}$, short base $b = 31.6\, \text{ft}$ and height $h = 60\, \text{ft}$. | 3 |
| 1794 | Find the side $ c $ of a trapezoid if long base $a = 9\, \text{cm}$, short base $b = 6\, \text{cm}$ and side $c = 4\, \text{cm}$. | 3 |
| 1795 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{m}$, short base $b = 20\, \text{m}$ and height $h = 4\, \text{m}$. | 3 |
| 1796 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{in}$, side $c = 2\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1797 | Find the side $ c $ of a trapezoid if long base $a = 42\, \text{mm}$, short base $b = 16\, \text{mm}$ and height $h = 33\, \text{mm}$. | 3 |
| 1798 | Find the long base $ a $ of a trapezoid if long base $a = 128\, \text{in}$, short base $b = 44.5\, \text{in}$ and side $c = 44.5\, \text{in}$. | 3 |
| 1799 | Find the long base $ a $ of a trapezoid if short base $b = 55.75\, \text{in}$, height $h = 26\, \text{in}$ and angle $\beta = 78^o$. | 3 |
| 1800 | Find the short base $ b $ of a trapezoid if long base $a = 45.42\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 3 |