Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1001 | Find the side $ c $ of a trapezoid if long base $a = 6000\, \text{mm}$, short base $b = 3030\, \text{mm}$ and height $h = 2400\, \text{mm}$. | 4 |
| 1002 | Find the height $ h $ of a trapezoid if long base $a = 1550\, \text{mm}$, short base $b = 500\, \text{mm}$ and angle $\alpha = 49.4^o$. | 4 |
| 1003 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 65\, \text{in}$ and side $c = 19.6\, \text{in}$. | 4 |
| 1004 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{in}$, median $m = 34\, \text{mm}$, angle $\alpha = 85.5^o$ and angle $\beta = 94.5^o$. | 4 |
| 1005 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{in}$, median $m = 34\, \text{in}$, angle $\alpha = 85.8^o$ and angle $\beta = 94.5^o$. | 4 |
| 1006 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{in}$, median $m = 34\, \text{in}$, angle $\alpha = 85.5^o$ and angle $\beta = 94^o$. | 4 |
| 1007 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{in}$, median $m = 34\, \text{in}$ and angle $\alpha = 85.5^o$. | 4 |
| 1008 | Find the short base $ b $ of a trapezoid if height $h = 20\, \text{mm}$, median $m = 34\, \text{mm}$ and angle $\alpha = 85.5^o$. | 4 |
| 1009 | Find the perimeter $ P $ of a trapezoid if height $h = 20\, \text{mm}$, median $m = 34\, \text{mm}$ and angle $\alpha = 85.5^o$. | 4 |
| 1010 | Find the short base $ b $ of a trapezoid if long base $a = 33\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 74.22^o$. | 4 |
| 1011 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{m}$, short base $b = 2\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 5\, \text{mm}$. | 4 |
| 1012 | Find the angle $ \alpha $ of a trapezoid if long base $a = 50.8\, \text{mm}$, short base $b = 38.1\, \text{mm}$, side $c = 31.75\, \text{mm}$ and angle $\alpha = 78.463^o$. | 4 |
| 1013 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 59\, \text{mm}$ and side $c = 32\, \text{mm}$. | 4 |
| 1014 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 18.5\, \text{in}$ and angle $\alpha = 89.9116^o$. | 4 |
| 1015 | Find the angle $ \beta $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 17\, \text{in}$. | 4 |
| 1016 | Find the angle $ \alpha $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 17\, \text{in}$. | 4 |
| 1017 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26.5\, \text{in}$, short base $b = 19\, \text{in}$ and height $h = 17\, \text{in}$. | 4 |
| 1018 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{in}$, side $c = 64\, \text{in}$ and diagonal $d = 8\, \text{in}$. | 4 |
| 1019 | Find the long base $ a $ of a trapezoid if short base $b = 161\, \text{in}$, side $c = 64\, \text{in}$ and diagonal $d = 8\, \text{in}$. | 4 |
| 1020 | Find the side $ c $ of a trapezoid if long base $a = 3750\, \text{mm}$, side $c = 3650\, \text{mm}$ and angle $\beta = 82^o$. | 4 |
| 1021 | Find the long base $ a $ of a trapezoid if long base $a = 3750\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 82^o$. | 4 |
| 1022 | Find the area $ A $ of a trapezoid if long base $a = 12.5\, \text{ft}$, short base $b = 8\, \text{ft}$ and side $c = 16\, \text{ft}$. | 4 |
| 1023 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{mm}$, height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 4 |
| 1024 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 10\, \text{m}$ and side $c = 20\, \text{m}$. | 4 |
| 1025 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{mm}$, height $h = 19\, \text{mm}$ and angle $\beta = 10^o$. | 4 |
| 1026 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{mm}$, height $h = 19\, \text{mm}$ and angle $\alpha = 10^o$. | 4 |
| 1027 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 9.5\, \text{mm}$. | 4 |
| 1028 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{ft}$, short base $b = 24\, \text{ft}$ and side $c = 44\, \text{ft}$. | 4 |
| 1029 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1030 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1031 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{ft}$, height $h = 4\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1032 | Find the side $ c $ of a trapezoid if short base $b = 4\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1033 | Find the long base $ a $ of a trapezoid if height $h = 84\, \text{mm}$, median $m = 84\, \text{in}$ and angle $\alpha = 90^o$. | 4 |
| 1034 | Find the long base $ a $ of a trapezoid if height $h = 84\, \text{in}$, median $m = 84\, \text{in}$ and angle $\alpha = 90^o$. | 4 |
| 1035 | Find the median $ m $ of a trapezoid if long base $a = 4.1\, \text{m}$, short base $b = 2.9\, \text{m}$ and angle $\beta = 120^o$. | 4 |
| 1036 | Find the height $ h $ of a trapezoid if long base $a = 410\, \text{cm}$, short base $b = 290\, \text{cm}$ and angle $\beta = 120^o$. | 4 |
| 1037 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{cm}$ and height $h = 3\, \text{cm}$. | 4 |
| 1038 | Find the long base $ a $ of a trapezoid if long base $a = 14.5\, \text{mm}$, height $h = 4.5\, \text{mm}$ and angle $\alpha = 9^o$. | 4 |
| 1039 | Find the short base $ b $ of a trapezoid if long base $a = 150000000\, \text{mm}$, height $h = 148500000\, \text{mm}$ and angle $\alpha = 89.737^o$. | 4 |
| 1040 | Find the short base $ b $ of a trapezoid if long base $a = 1390000\, \text{mm}$, height $h = 148500000\, \text{mm}$ and angle $\alpha = 89.737^o$. | 4 |
| 1041 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 4\, \text{in}$. | 4 |
| 1042 | Find the long base $ a $ of a trapezoid if long base $a = 15.5\, \text{in}$, height $h = 6\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 1043 | Find the side $ c $ of a trapezoid if long base $a = 15.5\, \text{in}$, short base $b = 10\, \text{in}$, side $c = 6\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 1044 | Find the long base $ a $ of a trapezoid if short base $b = 38\, \text{in}$, height $h = 13\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 1045 | Find the long base $ a $ of a trapezoid if short base $b = 38\, \text{in}$, height $h = 14\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 1046 | Find the long base $ a $ of a trapezoid if long base $a = 68\, \text{in}$, short base $b = 26.5\, \text{in}$ and side $c = 41.5\, \text{in}$. | 4 |
| 1047 | Find the short base $ b $ of a trapezoid if long base $a = 95\, \text{cm}$, side $c = 45\, \text{cm}$ and angle $\alpha = 60^o$. | 4 |
| 1048 | Find the angle $ \alpha $ of a trapezoid if long base $a = 95\, \text{cm}$, short base $b = 45\, \text{mm}$ and side $c = 45\, \text{cm}$. | 4 |
| 1049 | Find the angle $ \alpha $ of a trapezoid if long base $a = 95\, \text{cm}$, short base $b = 45\, \text{cm}$ and side $c = 45\, \text{cm}$. | 4 |
| 1050 | Find the long base $ a $ of a trapezoid if long base $a = 13.5\, \text{in}$, short base $b = 13.25\, \text{in}$ and height $h = 10.5\, \text{in}$. | 4 |
