Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2001 | 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 |
| 2002 | Find the angle $ \beta $ of a trapezoid if ???. | 2 |
| 2003 | Find the long base $ a $ of a trapezoid if angle $\alpha = 100^o$ and angle $\beta = 77^o$. | 2 |
| 2004 | 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 |
| 2005 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{cm}$ and angle $\alpha = 40^o$. | 2 |
| 2006 | 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 |
| 2007 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{cm}$. | 2 |
| 2008 | 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 |
| 2009 | 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 |
| 2010 | 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 |
| 2011 | Find the long base $ a $ of a trapezoid if long base $a = 68\, \text{mm}$ and angle $\alpha = 1.146^o$. | 2 |
| 2012 | Find the short base $ b $ of a trapezoid if long base $a = 68\, \text{mm}$ and angle $\alpha = 1.146^o$. | 2 |
| 2013 | 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 |
| 2014 | 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 |
| 2015 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{in}$ and height $h = 8\, \text{in}$. | 2 |
| 2016 | 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 |
| 2017 | 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 |
| 2018 | 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 |
| 2019 | 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 |
| 2020 | 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 |
| 2021 | 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 |
| 2022 | 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 |
| 2023 | 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 |
| 2024 | 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 |
| 2025 | 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 |
| 2026 | 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 |
| 2027 | 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 |
| 2028 | 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 |
| 2029 | 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 |
| 2030 | 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 |
| 2031 | 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 |
| 2032 | 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 |
| 2033 | 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 |
| 2034 | 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 |
| 2035 | 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 |
| 2036 | 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 |
| 2037 | Find the long base $ a $ of a trapezoid if long base $a = 2990\, \text{mm}$ and short base $b = 1900\, \text{mm}$. | 2 |
| 2038 | Find the long base $ a $ of a trapezoid if long base $a = 2990\, \text{mm}$, short base $b = 1900\, \text{mm}$ and angle $\beta = 135^o$. | 2 |
| 2039 | Find the side $ c $ of a trapezoid if long base $a = 2990\, \text{mm}$, short base $b = 1990\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2040 | Find the short base $ b $ of a trapezoid if long base $a = 96\, \text{mm}$ and side $c = 38\, \text{mm}$. | 2 |
| 2041 | Find the short base $ b $ of a trapezoid if long base $a = 20.03\, \text{mm}$, height $h = 4.769\, \text{mm}$ and angle $\alpha = 20^o$. | 2 |
| 2042 | Find the height $ h $ of a trapezoid if side $c = 25\, \text{m}$, area $A = 240\, \text{m}^2$ and perimeter $P = 70\, \text{m}$. | 2 |
| 2043 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{cm}$, side $c = 14\, \text{cm}$ and area $A = 154\, \text{cm}^2$. | 2 |
| 2044 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 2045 | Find the long base $ a $ of a trapezoid if long base $a = 0.33\, \text{in}$, short base $b = 0.275\, \text{in}$ and height $h = 0.075\, \text{in}$. | 2 |
| 2046 | Find the short base $ b $ of a trapezoid if long base $a = 0.33\, \text{in}$, height $h = 0.075\, \text{in}$ and angle $\alpha = 65^o$. | 2 |
| 2047 | Find the long base $ a $ of a trapezoid if side $c = 10\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 2048 | Find the long base $ a $ of a trapezoid if long base $a = 92\, \text{mm}$, short base $b = 38\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 2049 | Find the long base $ a $ of a trapezoid if long base $a = 9.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 2050 | Find the short base $ b $ of a trapezoid if long base $a = 9.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
