Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9051 | Find the angle $ \alpha $ of a trapezoid if long base $a = 86.8715\, \text{in}$, short base $b = 75.7979\, \text{in}$ and height $h = 60\, \text{in}$. | 1 |
| 9052 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 9053 | Find the short base $ b $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 11.5\, \text{in}$ and height $h = 11.25\, \text{in}$. | 1 |
| 9054 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 11.5\, \text{in}$ and height $h = 11.25\, \text{in}$. | 1 |
| 9055 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$, height $h = 11.25\, \text{in}$ and angle $\beta = 120^o$. | 1 |
| 9056 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$, height $h = 11.25\, \text{in}$ and angle $\alpha = 75^o$. | 1 |
| 9057 | Find the angle $ \beta $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 2\, \text{ft}$ and side $c = 17\, \text{ft}$. | 1 |
| 9058 | Find the angle $ \beta $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 2\, \text{ft}$ and side $c = 30\, \text{ft}$. | 1 |
| 9059 | Find the angle $ \beta $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 2\, \text{ft}$ and side $c = 25\, \text{ft}$. | 1 |
| 9060 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 9061 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 9062 | Find the side $ c $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 38\, \text{mm}$ and side $c = 46\, \text{mm}$. | 1 |
| 9063 | Find the area $ A $ of a trapezoid if short base $b = 12.5\, \text{m}$, height $h = 6\, \text{m}$ and angle $\alpha = 71.5651^o$. | 1 |
| 9064 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.4\, \text{m}$, height $h = 9.1\, \text{m}$ and angle $\alpha = 71.5651^o$. | 1 |
| 9065 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.4\, \text{m}$ and height $h = 9.1\, \text{m}$. | 1 |
| 9066 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.3\, \text{m}$ and height $h = 9.6\, \text{m}$. | 1 |
| 9067 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.3\, \text{m}$ and height $h = 9.6\, \text{m}$. | 1 |
| 9068 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, area $A = 9.6\, \text{m}^2$ and angle $\alpha = 72.1039^o$. | 1 |
| 9069 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 1.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 9070 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 2.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 9071 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 5.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 9072 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 7.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 9073 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 12$, area $A = 150$ and angle $\alpha = 30^o$. | 1 |
| 9074 | Find the long base $ a $ of a trapezoid if short base $b = 36$, height $h = 18$ and angle $\beta = 20^o$. | 1 |
| 9075 | Find the long base $ a $ of a trapezoid if long base $a = 39$, short base $b = 21$, side $c = \frac{ 31 }{ 2 }$ and height $h = 13$. | 1 |
| 9076 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 106 }{ 25 }$, height $h = 3$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 9077 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 17 }{ 4 }$, height $h = 3$ and angle $\alpha = 30^o$. | 1 |
| 9078 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 45^o$. | 1 |
| 9079 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 90^o$. | 1 |
| 9080 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 35^o$. | 1 |
| 9081 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\beta = 135^o$. | 1 |
| 9082 | Find the area $ A $ of a trapezoid if long base $a = 11$, short base $b = 33$ and height $h = 22$. | 1 |
| 9083 | Find the short base $ b $ of a trapezoid if long base $a = 80$, side $c = \frac{ 711 }{ 25 }$ and height $h = 24$. | 1 |
| 9084 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 13$ and height $h = 14$. | 1 |
| 9085 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$ and side $c = \frac{ 711 }{ 25 }$. | 1 |
| 9086 | Find the long base $ a $ of a trapezoid if long base $a = 40$, short base $b = 8$ and height $h = \frac{ 1866 }{ 125 }$. | 1 |
| 9087 | Find the of a trapezoid if long base $a = 10$, short base $b = 2$ and height $h = \frac{ 1866 }{ 125 }$. | 1 |
| 9088 | Find the side $ c $ of a trapezoid if long base $a = 11$, short base $b = 10$, height $h = \frac{ 13 }{ 2 }$ and perimeter $P = \frac{ 273 }{ 4 }$. | 1 |
| 9089 | Find the diagonal $ d $ of a trapezoid if long base $a = \frac{ 255 }{ 4 }$, short base $b = \frac{ 255 }{ 4 }$ and side $c = \frac{ 195 }{ 4 }$. | 1 |
| 9090 | Find the long base $ a $ of a trapezoid if long base $a = 100$, height $h = 75$ and angle $\alpha = 65^o$. | 1 |
| 9091 | Find the short base $ b $ of a trapezoid if long base $a = 100$, height $h = 75$ and angle $\alpha = 65^o$. | 1 |
| 9092 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 63 }{ 4 }$, short base $b = 14$ and height $h = \frac{ 51 }{ 2 }$. | 1 |
| 9093 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 5$ and side $c = 4$. | 1 |
| 9094 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 41 }{ 2 }$, short base $b = \frac{ 35 }{ 2 }$ and height $h = \frac{ 7 }{ 2 }$. | 1 |
| 9095 | Find the long base $ a $ of a trapezoid if long base $a = 110$, short base $b = 80$, side $c = 90$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9096 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 38$ and side $c = 195$. | 1 |
| 9097 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 38$ and diagonal $d = 195$. | 1 |
| 9098 | Find the side $ c $ of a trapezoid if long base $a = 100$, short base $b = 50$ and height $h = 24$. | 1 |
| 9099 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 4$ and side $c = \frac{ 58 }{ 5 }$. | 1 |
| 9100 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5747 }{ 1000 }$, short base $b = \frac{ 3 }{ 2 }$ and angle $\beta = 120^o$. | 1 |
