Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8101 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{ft}$, height $h = 7.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8102 | Find the angle $ \alpha $ of a trapezoid if long base $a = 106\, \text{mm}$, side $c = 58\, \text{mm}$ and angle $\beta = 93^o$. | 1 |
| 8103 | Find the angle $ \beta $ of a trapezoid if long base $a = 106\, \text{mm}$, side $c = 58\, \text{mm}$ and angle $\beta = 93^o$. | 1 |
| 8104 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6.5\, \text{in}$, short base $b = 2.5\, \text{in}$, height $h = 15.25\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 8105 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6.5\, \text{in}$, short base $b = 2.5\, \text{in}$ and height $h = 15.25\, \text{in}$. | 1 |
| 8106 | Find the angle $ \beta $ of a trapezoid if long base $a = 6.5\, \text{in}$, short base $b = 2.5\, \text{in}$ and height $h = 15.25\, \text{in}$. | 1 |
| 8107 | Find the short base $ b $ of a trapezoid if long base $a = 6.5\, \text{in}$, short base $b = 2.5\, \text{in}$ and height $h = 15.25\, \text{in}$. | 1 |
| 8108 | Find the short base $ b $ of a trapezoid if long base $a = 6.5\, \text{in}$, height $h = 15.25\, \text{in}$ and angle $\alpha = 82.5^o$. | 1 |
| 8109 | Find the short base $ b $ of a trapezoid if long base $a = 6.5\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 82.5^o$. | 1 |
| 8110 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{in}$, height $h = 48.5\, \text{in}$ and angle $\beta = 9^o$. | 1 |
| 8111 | Find the short base $ b $ of a trapezoid if long base $a = 6.5\, \text{in}$, height $h = 14.75\, \text{in}$ and angle $\alpha = 82.5^o$. | 1 |
| 8112 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6.5\, \text{in}$, short base $b = 2.625\, \text{in}$ and height $h = 14.75\, \text{in}$. | 1 |
| 8113 | Find the long base $ a $ of a trapezoid if long base $a = 6.5\, \text{in}$, height $h = 5.875\, \text{in}$ and angle $\alpha = 82.5^o$. | 1 |
| 8114 | Find the short base $ b $ of a trapezoid if long base $a = 125\, \text{mm}$, height $h = 34\, \text{mm}$ and angle $\beta = 93^o$. | 1 |
| 8115 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{mm}$ and height $h = 3\, \text{mm}$. | 1 |
| 8116 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and diagonal $d = 8\, \text{mm}$. | 1 |
| 8117 | Find the long base $ a $ of a trapezoid if side $c = 6\, \text{mm}$. | 1 |
| 8118 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 8119 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 8120 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, height $h = 5\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 8121 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 9\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 8122 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{m}$, short base $b = 5\, \text{m}$ and height $h = 6\, \text{m}$. | 1 |
| 8123 | Find the long base $ a $ of a trapezoid if short base $b = 62\, \text{cm}$, side $c = 62\, \text{cm}$ and angle $\beta = 60^o$. | 1 |
| 8124 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{ft}$, height $h = 3\, \text{ft}$ and angle $\beta = 50^o$. | 1 |
| 8125 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 33.25\, \text{in}$. | 1 |
| 8126 | Find the height $ h $ of a trapezoid if long base $a = 35\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 33.25\, \text{in}$. | 1 |
| 8127 | Find the long base $ a $ of a trapezoid if long base $a = 4.75\, \text{in}$, short base $b = 3.5\, \text{in}$ and diagonal $d = 9\, \text{ft}$. | 1 |
| 8128 | Find the side $ c $ of a trapezoid if long base $a = 4.75\, \text{in}$, short base $b = 3.5\, \text{in}$ and diagonal $d = 9\, \text{ft}$. | 1 |
| 8129 | Find the side $ c $ of a trapezoid if long base $a = 4.75\, \text{in}$, short base $b = 3.5\, \text{in}$, diagonal $d = 9\, \text{ft}$ and angle $\alpha = 90^o$. | 1 |
| 8130 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 7\, \text{mm}$, diagonal $d = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 8131 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, side $c = 7\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 8132 | Find the long base $ a $ of a trapezoid if long base $a = 80\, \text{in}$, side $c = 72\, \text{in}$ and median $m = 72\, \text{in}$. | 1 |
| 8133 | Find the long base $ a $ of a trapezoid if short base $b = 80\, \text{in}$, side $c = 72\, \text{in}$ and median $m = 72\, \text{in}$. | 1 |
| 8134 | Find the long base $ a $ of a trapezoid if height $h = 2070\, \text{mm}$. | 1 |
| 8135 | Find the short base $ b $ of a trapezoid if long base $a = 11.8\, \text{m}$, side $c = 6\, \text{m}$, diagonal $d = 6\, \text{m}$ and angle $\alpha = 63^o$. | 1 |
| 8136 | Find the short base $ b $ of a trapezoid if long base $a = 11.8\, \text{m}$, side $c = 6\, \text{m}$, angle $\alpha = 63^o$ and angle $\beta = 117^o$. | 1 |
| 8137 | Find the short base $ b $ of a trapezoid if long base $a = 11\, \text{m}$, side $c = 6\, \text{m}$, height $h = 6\, \text{m}$, angle $\alpha = 62^o$ and angle $\beta = 118^o$. | 1 |
| 8138 | Find the long base $ a $ of a trapezoid if side $c = 9\, \text{mm}$, height $h = 5\, \text{mm}$ and area $A = 52.5\, \text{mm}^2$. | 1 |
| 8139 | Find the angle $ \alpha $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 130\, \text{mm}$ and height $h = 85\, \text{mm}$. | 1 |
| 8140 | Find the long base $ a $ of a trapezoid if long base $a = 238\, \text{ft}$, short base $b = 220\, \text{ft}$ and height $h = 294\, \text{ft}$. | 1 |
| 8141 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and height $h = 7.5\, \text{mm}$. | 1 |
| 8142 | Find the long base $ a $ of a trapezoid if long base $a = 88164\, \text{ft}$, short base $b = 859.17\, \text{ft}$ and height $h = 1055.54\, \text{ft}$. | 1 |
| 8143 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, side $c = 2\, \text{mm}$ and height $h = 2\, \text{mm}$. | 1 |
| 8144 | Find the long base $ a $ of a trapezoid if long base $a = 86.75\, \text{in}$, height $h = 50.6\, \text{in}$, angle $\alpha = 70.5^o$ and angle $\beta = 109.5^o$. | 1 |
| 8145 | Find the short base $ b $ of a trapezoid if long base $a = 86.75\, \text{in}$, side $c = 53.7\, \text{in}$, height $h = 50.6\, \text{in}$, angle $\alpha = 71.6^o$ and angle $\beta = 108.4^o$. | 1 |
| 8146 | Find the short base $ b $ of a trapezoid if long base $a = 86.75\, \text{in}$, height $h = 50.6\, \text{in}$ and angle $\alpha = 71.6^o$. | 1 |
| 8147 | Find the short base $ b $ of a trapezoid if long base $a = 53\, \text{in}$, height $h = 3\, \text{in}$, angle $\alpha = 70.5^o$ and angle $\beta = 19.5^o$. | 1 |
| 8148 | Find the angle $ \beta $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 9.5\, \text{mm}$. | 1 |
| 8149 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{in}$, height $h = 19\, \text{in}$ and angle $\alpha = 10^o$. | 1 |
| 8150 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{mm}$, height $h = 19\, \text{mm}$ and angle $\alpha = 80^o$. | 1 |
