Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 51 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{cm}$, side $c = 6\, \text{cm}$ and angle $\beta = 120^o$. | 15 |
| 52 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{cm}$, height $h = 40\, \text{cm}$ and area $A = 260\, \text{cm}$. | 15 |
| 53 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 11 }{ 2 }$, angle $\alpha = 68^o$ and angle $\beta = 112^o$. | 14 |
| 54 | Find the long base $ a $ of a trapezoid if long base $a = 8.25\, \text{mi}$, short base $b = 4.125\, \text{cm}$ and side $c = 3\, \text{cm}$. | 14 |
| 55 | Find the angle $ \beta $ of a trapezoid if long base $a = 38\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 44.27\, \text{in}$. | 13 |
| 56 | Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$. | 13 |
| 57 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 4$ and side $c = 3$. | 13 |
| 58 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 8$, side $c = 4 \sqrt{ 3 }$ and angle $\alpha = 60^o$. | 13 |
| 59 | Find the angle $ \beta $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 140\, \text{mm}$. | 13 |
| 60 | Find the long base $ a $ of a trapezoid if long base $a = 1000$, short base $b = 740$ and height $h = 740$. | 13 |
| 61 | Find the long base $ a $ of a trapezoid if long base $a = 3.45\, \text{ft}$, short base $b = 1.8\, \text{cm}$ and side $c = 8.4\, \text{cm}$. | 13 |
| 62 | Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = \frac{ 899 }{ 2 }$. | 13 |
| 63 | Find the angle $ \beta $ of a trapezoid if long base $a = 300$, short base $b = \frac{ 1 }{ 20 }$ and height $h = 8333$. | 13 |
| 64 | Find the diagonal $ d $ of a trapezoid if long base $a = 5$, short base $b = 2$ and angle $\alpha = 50^o$. | 12 |
| 65 | Find the long base $ a $ of a trapezoid if long base $a = 164\, \text{mm}$, short base $b = 156.4\, \text{cm}$, side $c = 54\, \text{cm}$, height $h = 164\, \text{cm}$ and perimeter $P = 394.4\, \text{cm}$. | 12 |
| 66 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mi}$, short base $b = 12\, \text{cm}$ and side $c = 52\, \text{cm}$. | 12 |
| 67 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mi}$, short base $b = 10\, \text{cm}$ and height $h = 14\, \text{cm}$. | 12 |
| 68 | Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\beta = 120^o$. | 12 |
| 69 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{km}$, short base $b = 36\, \text{cm}$ and side $c = 45\, \text{cm}$. | 12 |
| 70 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{cm}$, side $c = 11\, \text{cm}$ and height $h = 10\, \text{cm}$. | 11 |
| 71 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{cm}$, side $c = 6\, \text{cm}$ and angle $\beta = 120^o$. | 11 |
| 72 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 11 |
| 73 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$, side $c = 18\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 11 |
| 74 | Find the short base $ b $ of a trapezoid if long base $a = 335$, height $h = \frac{ 19 }{ 25 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 11 |
| 75 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 9\, \text{cm}$, side $c = 5\, \text{cm}$, diagonal $d = 5\, \text{cm}$, height $h = 4\, \text{cm}$ and angle $\alpha = 5^o$. | 11 |
| 76 | Find the long base $ a $ of a trapezoid if long base $a = 19$, short base $b = 15$, side $c = 5$, height $h = 5$, area $A = 90$ and angle $\beta = 90^o$. | 11 |
| 77 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, side $c = 24$, height $h = \frac{ 191 }{ 8 }$ and angle $\alpha = 84^o$. | 11 |
| 78 | Find the long base $ a $ of a trapezoid if short base $b = 59$ and side $c = 27$. | 11 |
| 79 | Find the height $ h $ of a trapezoid if long base $a = 37\, \text{in}$, short base $b = 21.55\, \text{in}$ and side $c = 11.02\, \text{in}$. | 11 |
| 80 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$ and side $c = 4 \sqrt{ 3 }$. | 11 |
| 81 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{cm}$, side $c = 6\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 11 |
| 82 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.5\, \text{cm}$ and height $h = 4\, \text{cm}$. | 11 |
| 83 | Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$. | 11 |
| 84 | Find the height $ h $ of a trapezoid if long base $a = 22$ and short base $b = 8$. | 11 |
| 85 | Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 18$ and height $h = 10$. | 11 |
| 86 | Find the long base $ a $ of a trapezoid if long base $a = 0.156\, \text{dm}$, short base $b = 0.07\, \text{cm}$ and height $h = 0.198\, \text{cm}$. | 10 |
| 87 | Find the side $ c $ of a trapezoid if long base $a = 28$, short base $b = 18$ and height $h = 10$. | 10 |
| 88 | Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 18$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 10 |
| 89 | Find the height $ h $ of a trapezoid if long base $a = 26$, short base $b = 19$ and side $c = 22$. | 10 |
| 90 | Find the long base $ a $ of a trapezoid if short base $b = 20.3\, \text{mm}$, height $h = 8\, \text{cm}$ and angle $\beta = 157.5^o$. | 10 |
| 91 | Find the long base $ a $ of a trapezoid if long base $a = 93\, \text{mm}$ and height $h = 48\, \text{cm}$. | 10 |
| 92 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 30\, \text{cm}$, side $c = 25\, \text{cm}$ and height $h = 11\, \text{cm}$. | 10 |
| 93 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$. | 10 |
| 94 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$ and side $c = 27\, \text{cm}$. | 10 |
| 95 | Find the long base $ a $ of a trapezoid if long base $a = 185$ and side $c = 67$. | 10 |
| 96 | Find the area $ A $ of a trapezoid if long base $a = 961$, short base $b = 483$ and angle $\alpha = 54.8538^o$. | 10 |
| 97 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 3.4\, \text{cm}$, side $c = 6\, \text{cm}$ and perimeter $P = 27.4\, \text{cm}$. | 10 |
| 98 | Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = 12$ and angle $\alpha = 60^o$. | 9 |
| 99 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mi}$, short base $b = 5\, \text{cm}$ and side $c = 24\, \text{cm}$. | 9 |
| 100 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 29\, \text{cm}$ and height $h = 24\, \text{cm}$. | 9 |
