Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8051 | 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 |
| 8052 | 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 |
| 8053 | 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 |
| 8054 | 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 |
| 8055 | 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 |
| 8056 | 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 |
| 8057 | 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 |
| 8058 | Find the diagonal $ d $ of a trapezoid if long base $a = 273\, \text{cm}$ and short base $b = 14\, \text{cm}$. | 1 |
| 8059 | 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 |
| 8060 | 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 |
| 8061 | 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 |
| 8062 | 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 |
| 8063 | Find the long base $ a $ of a trapezoid if height $h = 70\, \text{cm}$, angle $\alpha = 10^o$ and angle $\beta = 170^o$. | 1 |
| 8064 | 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 |
| 8065 | 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 |
| 8066 | 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 |
| 8067 | 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 |
| 8068 | 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 |
| 8069 | 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 |
| 8070 | 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 |
| 8071 | Find the long base $ a $ of a trapezoid if side $c = 2\, \text{mm}$. | 1 |
| 8072 | 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 |
| 8073 | 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 |
| 8074 | 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 |
| 8075 | 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 |
| 8076 | 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 |
| 8077 | 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 |
| 8078 | 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 |
| 8079 | Find the short base $ b $ of a trapezoid if long base $a = 27.78\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 8080 | 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 |
| 8081 | 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 |
| 8082 | 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 |
| 8083 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$. | 1 |
| 8084 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$ and side $c = 3\, \text{mm}$. | 1 |
| 8085 | 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 |
| 8086 | 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 |
| 8087 | 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 |
| 8088 | 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 |
| 8089 | 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 |
| 8090 | 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 |
| 8091 | 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 |
| 8092 | 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 |
| 8093 | 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 |
| 8094 | 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 |
| 8095 | 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 |
| 8096 | 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 |
| 8097 | 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 |
| 8098 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 1\, \text{mm}$ and area $A = 1\, \text{mm}^2$. | 1 |
| 8099 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{ft}$ and angle $\alpha = 45^o$. | 1 |
| 8100 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
