Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2101 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 25\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
| 2102 | Find the height $ h $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 30\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
| 2103 | Find the height $ h $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 35\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
| 2104 | Find the height $ h $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 80\, \text{mm}$ and side $c = 25\, \text{mm}$. | 2 |
| 2105 | Find the median $ m $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 80\, \text{mm}$ and height $h = 50\, \text{mm}$. | 2 |
| 2106 | Find the height $ h $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 80\, \text{mm}$ and median $m = 125\, \text{mm}$. | 2 |
| 2107 | Find the height $ h $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 60\, \text{mm}$, side $c = 125\, \text{mm}$ and median $m = 98\, \text{mm}$. | 2 |
| 2108 | Find the long base $ a $ of a trapezoid if short base $b = 47\, \text{mm}$, side $c = 30\, \text{mm}$ and area $A = 62.5\, \text{mm}^2$. | 2 |
| 2109 | Find the long base $ a $ of a trapezoid if long base $a = 117\, \text{mm}$, short base $b = 71\, \text{mm}$, side $c = 82\, \text{mm}$ and diagonal $d = 120\, \text{mm}$. | 2 |
| 2110 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 2111 | Find the side $ c $ of a trapezoid if long base $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$, angle $\alpha = 89.9^o$ and angle $\beta = 90.1^o$. | 2 |
| 2112 | Find the side $ c $ of a trapezoid if long base $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$ and angle $\alpha = 89.9^o$. | 2 |
| 2113 | Find the side $ c $ of a trapezoid if long base $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$ and angle $\beta = 90.1^o$. | 2 |
| 2114 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 17\, \text{in}$, height $h = 9.5\, \text{in}$ and area $A = 171\, \text{in}^2$. | 2 |
| 2115 | Find the side $ c $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 17\, \text{in}$, height $h = 9.5\, \text{in}$ and area $A = 171\, \text{in}^2$. | 2 |
| 2116 | Find the diagonal $ d $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 17\, \text{in}$ and height $h = 9.5\, \text{in}$. | 2 |
| 2117 | Find the area $ A $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 17\, \text{in}$ and height $h = 9.5\, \text{in}$. | 2 |
| 2118 | Find the long base $ a $ of a trapezoid if long base $a = 41.5\, \text{in}$, short base $b = 48\, \text{in}$ and side $c = 99.3\, \text{in}$. | 2 |
| 2119 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{cm}$ and side $c = 40\, \text{mm}$. | 2 |
| 2120 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{cm}$, short base $b = 50\, \text{mm}$ and side $c = 40\, \text{cm}$. | 2 |
| 2121 | Find the height $ h $ of a trapezoid if long base $a = 80\, \text{cm}$, short base $b = 50\, \text{cm}$ and side $c = 40\, \text{cm}$. | 2 |
| 2122 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$, side $c = 4\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 90^o$. | 2 |
| 2123 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 11\, \text{mm}$ and side $c = 19\, \text{mm}$. | 2 |
| 2124 | Find the angle $ \beta $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 11\, \text{mm}$ and side $c = 19\, \text{mm}$. | 2 |
| 2125 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{in}$, short base $b = 20\, \text{in}$ and side $c = 50\, \text{in}$. | 2 |
| 2126 | Find the diagonal $ d $ of a trapezoid if long base $a = 42\, \text{in}$, short base $b = 20\, \text{in}$ and side $c = 50\, \text{in}$. | 2 |
| 2127 | Find the long base $ a $ of a trapezoid if long base $a = 81\, \text{in}$, short base $b = 48.5\, \text{in}$ and side $c = 34.5\, \text{in}$. | 2 |
| 2128 | Find the diagonal $ d $ of a trapezoid if long base $a = 81\, \text{in}$, short base $b = 48.5\, \text{in}$ and side $c = 34.5\, \text{in}$. | 2 |
| 2129 | Find the long base $ a $ of a trapezoid if short base $b = 36.5\, \text{in}$, side $c = 23.5\, \text{in}$ and diagonal $d = 54\, \text{in}$. | 2 |
| 2130 | Find the long base $ a $ of a trapezoid if long base $a = 9.125\, \text{in}$, short base $b = 11.25\, \text{in}$ and side $c = 10\, \text{in}$. | 2 |
| 2131 | Find the angle $ \beta $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 30\, \text{mm}$ and height $h = 17\, \text{mm}$. | 2 |
| 2132 | Find the long base $ a $ of a trapezoid if height $h = 4\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2133 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 17.6\, \text{ft}$, side $c = 12\, \text{ft}$ and height $h = 16\, \text{in}$. | 2 |
| 2134 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 6\, \text{cm}$ and side $c = 15\, \text{cm}$. | 2 |
| 2135 | Find the short base $ b $ of a trapezoid if height $h = 2\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 2136 | Find the short base $ b $ of a trapezoid if height $h = 2\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 2137 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 6\, \text{cm}$ and height $h = 7.5\, \text{mm}$. | 2 |
| 2138 | Find the long base $ a $ of a trapezoid if long base $a = 94\, \text{mm}$ and side $c = 27\, \text{mm}$. | 2 |
| 2139 | Find the long base $ a $ of a trapezoid if long base $a = 8.22\, \text{mm}$, short base $b = 3.16\, \text{mm}$ and side $c = 5.1\, \text{mm}$. | 2 |
| 2140 | Find the area $ A $ of a trapezoid if short base $b = 7.67\, \text{ft}$, side $c = 2.83\, \text{ft}$ and height $h = 2\, \text{ft}$. | 2 |
| 2141 | Find the long base $ a $ of a trapezoid if short base $b = 0.0729\, \text{mm}$ and height $h = 1018\, \text{mm}$. | 2 |
| 2142 | Find the long base $ a $ of a trapezoid if long base $a = 0.07\, \text{mm}$, height $h = 1018\, \text{mm}$ and median $m = 0.035\, \text{mm}$. | 2 |
| 2143 | Find the short base $ b $ of a trapezoid if long base $a = 0.07\, \text{mm}$, height $h = 1018\, \text{mm}$ and median $m = 0.035\, \text{mm}$. | 2 |
| 2144 | Find the long base $ a $ of a trapezoid if short base $b = 41\, \text{mm}$, side $c = 16.5\, \text{mm}$ and height $h = 16.5\, \text{mm}$. | 2 |
| 2145 | Find the long base $ a $ of a trapezoid if long base $a = 990\, \text{mm}$, short base $b = 910\, \text{mm}$, side $c = 720\, \text{mm}$, height $h = 720\, \text{mm}$, area $A = 90\, \text{mm}^2$ and angle $\alpha = 90^o$. | 2 |
| 2146 | Find the long base $ a $ of a trapezoid if median $m = 1\, \text{mm}$, angle $\alpha = 86^o$ and angle $\beta = 94^o$. | 2 |
| 2147 | Find the diagonal $ d $ of a trapezoid if long base $a = 36\, \text{in}$, side $c = 40\, \text{in}$ and angle $\alpha = 120^o$. | 2 |
| 2148 | Find the diagonal $ d $ of a trapezoid if long base $a = 36\, \text{in}$, side $c = 42\, \text{in}$ and height $h = 40\, \text{mm}$. | 2 |
| 2149 | Find the long base $ a $ of a trapezoid if long base $a = 41\, \text{mm}$, short base $b = 21\, \text{mm}$ and height $h = 40\, \text{mm}$. | 2 |
| 2150 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{in}$, short base $b = 15\, \text{in}$, height $h = 21.25\, \text{in}$ and angle $\alpha = 55^o$. | 2 |
