Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6101 | Find the side $ c $ of a trapezoid if long base $a = 1350\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 1079\, \text{mm}$. | 2 |
| 6102 | Find the long base $ a $ of a trapezoid if long base $a = 9.3\, \text{mm}$, short base $b = 6.8\, \text{mm}$ and perimeter $P = 40.1\, \text{mm}$. | 2 |
| 6103 | Find the side $ c $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 78\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6104 | Find the side $ c $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 78\, \text{in}$ and height $h = 30\, \text{in}$. | 2 |
| 6105 | Find the long base $ a $ of a trapezoid if long base $a = 68.875\, \text{in}$, short base $b = 68.8125\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
| 6106 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 10.125\, \text{in}$ and angle $\alpha = 89.9032^o$. | 2 |
| 6107 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 18.5\, \text{in}$ and angle $\alpha = 89.8232^o$. | 2 |
| 6108 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.125\, \text{in}$, short base $b = 69.0938\, \text{in}$ and height $h = 10.125\, \text{in}$. | 2 |
| 6109 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 6110 | Find the long base $ a $ of a trapezoid if short base $b = 58.39\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 6111 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.1875\, \text{in}$, short base $b = 69.125\, \text{in}$ and height $h = 20.25\, \text{in}$. | 2 |
| 6112 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{mm}$, height $h = 24\, \text{mm}$ and angle $\alpha = 67.5^o$. | 2 |
| 6113 | Find the side $ c $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 6114 | Find the angle $ \beta $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 6115 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 36^o$. | 2 |
| 6116 | Find the short base $ b $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 54^o$. | 2 |
| 6117 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{in}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 2 |
| 6118 | Find the long base $ a $ of a trapezoid if height $h = 22\, \text{in}$, angle $\alpha = 98^o$ and angle $\beta = 82^o$. | 2 |
| 6119 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 3\, \text{mm}$. | 2 |
| 6120 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 4\, \text{mm}$. | 2 |
| 6121 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 6122 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 6123 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 6124 | Find the angle $ \beta $ of a trapezoid if long base $a = 8819\, \text{mm}$, short base $b = 5500\, \text{mm}$ and height $h = 2400\, \text{mm}$. | 2 |
| 6125 | Find the angle $ \beta $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 6126 | Find the short base $ b $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 6127 | Find the short base $ b $ of a trapezoid if long base $a = 9150\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 6128 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8820\, \text{mm}$, short base $b = 5500\, \text{mm}$, height $h = 2400\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 6129 | Find the short base $ b $ of a trapezoid if long base $a = 24.5\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 6130 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 2 |
| 6131 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6132 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$, height $h = 1460\, \text{mm}$, area $A = 101.7\, \text{mm}^2$ and angle $\alpha = 78.3^o$. | 2 |
| 6133 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$ and angle $\alpha = 78.3^o$. | 2 |
| 6134 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2 \sqrt{ 6 }\, \text{mm}$. | 2 |
| 6135 | Find the long base $ a $ of a trapezoid if short base $b = 170\, \text{cm}$ and side $c = 190\, \text{cm}$. | 2 |
| 6136 | Find the area $ A $ of a trapezoid if long base $a = 3.14\, \text{m}$, short base $b = 0.6\, \text{m}$ and side $c = 6.517\, \text{m}$. | 2 |
| 6137 | Find the height $ h $ of a trapezoid if long base $a = 3.14\, \text{mm}$, short base $b = 0.6\, \text{mm}$ and side $c = 6.517\, \text{mm}$. | 2 |
| 6138 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$ and side $c = 37.9\, \text{mm}$. | 2 |
| 6139 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$. | 2 |
| 6140 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$ and short base $b = 2300\, \text{mm}$. | 2 |
| 6141 | Find the long base $ a $ of a trapezoid if short base $b = 120\, \text{mm}$, side $c = 90\, \text{mm}$ and median $m = 81.24\, \text{mm}$. | 2 |
| 6142 | Find the angle $ \beta $ of a trapezoid if long base $a = 14.31\, \text{mm}$, short base $b = 1.344\, \text{mm}$ and side $c = 10.477\, \text{mm}$. | 2 |
| 6143 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10.596\, \text{mm}$, short base $b = 3.065\, \text{mm}$ and side $c = 10.559\, \text{mm}$. | 2 |
| 6144 | Find the long base $ a $ of a trapezoid if long base $a = 16.875\, \text{mm}$ and short base $b = 7.875\, \text{mm}$. | 2 |
| 6145 | Find the side $ c $ of a trapezoid if long base $a = 21.44\, \text{mm}$ and short base $b = 9.5\, \text{mm}$. | 2 |
| 6146 | Find the side $ c $ of a trapezoid if long base $a = 21.44\, \text{mm}$, short base $b = 9.5\, \text{mm}$ and height $h = 41.375\, \text{mm}$. | 2 |
| 6147 | Find the side $ c $ of a trapezoid if long base $a = 9.75\, \text{mm}$, short base $b = 4.9\, \text{mm}$ and height $h = 17.75\, \text{mm}$. | 2 |
| 6148 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{in}$ and side $c = 1.6875\, \text{in}$. | 2 |
| 6149 | Find the long base $ a $ of a trapezoid if long base $a = 3.0625\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 1.6875\, \text{in}$. | 2 |
| 6150 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 52.75\, \text{in}$, side $c = 52.75\, \text{in}$ and height $h = 106.75\, \text{mm}$. | 2 |