Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9101 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 5747 }{ 1000 }$, short base $b = \frac{ 3 }{ 2 }$ and angle $\beta = 120^o$. | 1 |
| 9102 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 5747 }{ 1000 }$, short base $b = \frac{ 3 }{ 2 }$ and angle $\beta = 60^o$. | 1 |
| 9103 | Find the short base $ b $ of a trapezoid if long base $a = 350$, side $c = 85$, height $h = 65$ and angle $\alpha = 45^o$. | 1 |
| 9104 | Find the short base $ b $ of a trapezoid if long base $a = 350$, side $c = 85$ and height $h = 65$. | 1 |
| 9105 | Find the side $ c $ of a trapezoid if long base $a = 36$, short base $b = 28$ and height $h = 20$. | 1 |
| 9106 | Find the short base $ b $ of a trapezoid if long base $a = 29$, side $c = 14$ and angle $\alpha = 75^o$. | 1 |
| 9107 | Find the short base $ b $ of a trapezoid if long base $a = 29$, side $c = 14$ and angle $\alpha = 15^o$. | 1 |
| 9108 | Find the short base $ b $ of a trapezoid if long base $a = 29$, height $h = 14$ and angle $\alpha = 75^o$. | 1 |
| 9109 | Find the short base $ b $ of a trapezoid if long base $a = 153$, side $c = 86$, diagonal $d = \frac{ 351 }{ 2 }$, angle $\alpha = 68^o$ and angle $\beta = 112^o$. | 1 |
| 9110 | Find the short base $ b $ of a trapezoid if long base $a = 153$, side $c = 86$ and angle $\alpha = 68^o$. | 1 |
| 9111 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1087 }{ 5 }$, side $c = 86$ and angle $\beta = 112^o$. | 1 |
| 9112 | Find the long base $ a $ of a trapezoid if long base $a = 128$, short base $b = 100$ and side $c = 308$. | 1 |
| 9113 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 95 }{ 2 }$, side $c = 24$, height $h = 24$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9114 | Find the median $ m $ of a trapezoid if long base $a = 264$, side $c = \frac{ 139 }{ 10 }$ and height $h = 8$. | 1 |
| 9115 | Find the long base $ a $ of a trapezoid if long base $a = 264$, side $c = \frac{ 557 }{ 40 }$ and height $h = 8$. | 1 |
| 9116 | Find the short base $ b $ of a trapezoid if long base $a = 264$, side $c = \frac{ 557 }{ 40 }$ and height $h = 8$. | 1 |
| 9117 | Find the of a trapezoid if long base $a = 25$, short base $b = 19$ and height $h = 28$. | 1 |
| 9118 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 18267 }{ 10000 }$, short base $b = \frac{ 9133 }{ 10000 }$ and side $c = \frac{ 9133 }{ 10000 }$. | 1 |
| 9119 | Find the side $ c $ of a trapezoid if long base $a = 10$, short base $b = 6$ and height $h = 4$. | 1 |
| 9120 | Find the short base $ b $ of a trapezoid if long base $a = 480$, height $h = 110$ and angle $\beta = 120^o$. | 1 |
| 9121 | Find the long base $ a $ of a trapezoid if long base $a = 13$ and height $h = 9$. | 1 |
| 9122 | Find the perimeter $ P $ of a trapezoid if long base $a = 10$, short base $b = 5$ and height $h = 3$. | 1 |
| 9123 | Find the long base $ a $ of a trapezoid if long base $a = 72$, height $h = 16$ and angle $\alpha = 90^o$. | 1 |
| 9124 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 16$, median $m = 65$ and angle $\alpha = 90^o$. | 1 |
| 9125 | Find the side $ c $ of a trapezoid if long base $a = 72$, short base $b = \frac{ 297 }{ 5 }$ and height $h = 16$. | 1 |
| 9126 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 8$ and angle $\alpha = 90^o$. | 1 |
| 9127 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 10$ and angle $\alpha = 90^o$. | 1 |
| 9128 | Find the short base $ b $ of a trapezoid if long base $a = 72$, side $c = 10$ and angle $\alpha = 45^o$. | 1 |
| 9129 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 8$ and angle $\alpha = 45^o$. | 1 |
| 9130 | Find the side $ c $ of a trapezoid if long base $a = 72$, side $c = \frac{ 45 }{ 4 }$, height $h = 8$ and angle $\alpha = 45^o$. | 1 |
| 9131 | Find the short base $ b $ of a trapezoid if long base $a = 72$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9132 | Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 8$ and angle $\beta = 135^o$. | 1 |
| 9133 | Find the long base $ a $ of a trapezoid if long base $a = 70$, short base $b = 10$, side $c = 30$, height $h = 30$ and area $A = 1200$. | 1 |
| 9134 | Find the of a trapezoid if long base $a = 70$, short base $b = 10$, side $c = 30$, height $h = 30$ and area $A = 1200$. | 1 |
| 9135 | Find the height $ h $ of a trapezoid if long base $a = 20$ and short base $b = 10$. | 1 |
| 9136 | Find the short base $ b $ of a trapezoid if height $h = 110$, angle $\alpha = 140^o$ and angle $\beta = 120^o$. | 1 |
| 9137 | Find the of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 1 |
| 9138 | Find the side $ c $ of a trapezoid if long base $a = 440$, height $h = 110$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9139 | Find the short base $ b $ of a trapezoid if long base $a = 440$, height $h = 110$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9140 | Find the area $ A $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 1 |
| 9141 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 46 }{ 5 }$, short base $b = \frac{ 12 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 1 |
| 9142 | Find the area $ A $ of a trapezoid if long base $a = 10$, short base $b = \frac{ 18 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 1 |
| 9143 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$. | 1 |
| 9144 | Find the long base $ a $ of a trapezoid if long base $a = 45$, short base $b = 2$ and side $c = 1$. | 1 |
| 9145 | Find the long base $ a $ of a trapezoid if short base $b = 2$, side $c = 1$ and angle $\alpha = 45^o$. | 1 |
| 9146 | Find the long base $ a $ of a trapezoid if long base $a = 45$, short base $b = 1$ and side $c = 1$. | 1 |
| 9147 | Find the diagonal $ d $ of a trapezoid if long base $a = 112$, short base $b = 56$ and side $c = 60$. | 1 |
| 9148 | Find the long base $ a $ of a trapezoid if long base $a = 48$, short base $b = 4$, side $c = 20$ and height $h = 20$. | 1 |
| 9149 | Find the area $ A $ of a trapezoid if long base $a = 48$, side $c = 20$ and height $h = 20$. | 1 |
| 9150 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 47 }{ 100 }$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 1 |