Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4001 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4002 | Find the height $ h $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4003 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, height $h = 9.9\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4004 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 3\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 10\, \text{in}$, height $h = 9\, \text{in}$, median $m = 9\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 45^o$. | 2 |
| 4005 | Find the angle $ \beta $ of a trapezoid if long base $a = 54\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 35.75\, \text{in}$. | 2 |
| 4006 | Find the area $ A $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = \frac{ 1 }{ 2 }\, \text{mm}$ and height $h = 1\, \text{mm}$. | 2 |
| 4007 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, side $c = 4\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 4008 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$ and short base $b = 1\, \text{mm}$. | 2 |
| 4009 | Find the angle $ \beta $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4010 | Find the height $ h $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4011 | Find the height $ h $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4012 | Find the side $ c $ of a trapezoid if long base $a = 135\, \text{mm}$, short base $b = 100\, \text{mm}$, side $c = 85\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4013 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{cm}$, short base $b = 1\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 4014 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{cm}$, short base $b = 1\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 4015 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.6905\, \text{in}$, short base $b = 0.6185\, \text{in}$ and height $h = 1.375\, \text{in}$. | 2 |
| 4016 | Find the angle $ \beta $ of a trapezoid if long base $a = 3\, \text{m}$, short base $b = 1.2\, \text{m}$ and side $c = 1.6\, \text{m}$. | 2 |
| 4017 | Find the short base $ b $ of a trapezoid if long base $a = 0.75\, \text{in}$ and angle $\alpha = 5.5^o$. | 2 |
| 4018 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 55^o$. | 2 |
| 4019 | Find the height $ h $ of a trapezoid if long base $a = 7.2\, \text{in}$, short base $b = 4\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 4020 | Find the short base $ b $ of a trapezoid if long base $a = 0.75\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 11^o$. | 2 |
| 4021 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 12\, \text{cm}$. | 2 |
| 4022 | Find the long base $ a $ of a trapezoid if short base $b = 26\, \text{cm}$, side $c = 10\, \text{cm}$ and angle $\alpha = 80^o$. | 2 |
| 4023 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 15\, \text{cm}$ and height $h = 15\, \text{cm}$. | 2 |
| 4024 | Find the height $ h $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 15\, \text{cm}$ and angle $\alpha = 60^o$. | 2 |
| 4025 | Find the height $ h $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 15\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4026 | Find the angle $ \beta $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 14\, \text{in}$. | 2 |
| 4027 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{in}$, height $h = 9\, \text{in}$ and angle $\beta = 125^o$. | 2 |
| 4028 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{ft}$, side $c = 50\, \text{ft}$ and height $h = 50\, \text{ft}$. | 2 |
| 4029 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 4030 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 4031 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 7\, \text{mm}$. | 2 |
| 4032 | Find the angle $ \beta $ of a trapezoid if long base $a = 13\, \text{in}$, short base $b = 4\, \text{in}$ and side $c = 9\, \text{in}$. | 2 |
| 4033 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 3 }{ 4 }\, \text{in}$, short base $b = \frac{ 3 }{ 8 }\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 4034 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 4035 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 14\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 4036 | Find the long base $ a $ of a trapezoid if short base $b = 146\, \text{in}$, area $A = 21600\, \text{in}^2$ and angle $\alpha = 79^o$. | 2 |
| 4037 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{ft}$ and side $c = 20\, \text{ft}$. | 2 |
| 4038 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{ft}$ and side $c = 8\, \text{ft}$. | 2 |
| 4039 | Find the long base $ a $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{mm}$ and height $h = 72\, \text{in}$. | 2 |
| 4040 | Find the height $ h $ of a trapezoid if long base $a = 310.39\, \text{mm}$, short base $b = 270\, \text{mm}$ and side $c = 50\, \text{mm}$. | 2 |
| 4041 | Find the height $ h $ of a trapezoid if long base $a = 230.39\, \text{mm}$, short base $b = 190\, \text{mm}$ and side $c = 50.02\, \text{mm}$. | 2 |
| 4042 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, side $c = 40\, \text{mm}$ and height $h = 40\, \text{mm}$. | 2 |
| 4043 | Find the long base $ a $ of a trapezoid if short base $b = 9.5\, \text{in}$ and height $h = 33\, \text{in}$. | 2 |
| 4044 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 9.5\, \text{in}$ and height $h = 33\, \text{in}$. | 2 |
| 4045 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 9.5\, \text{in}$ and side $c = 33.25\, \text{in}$. | 2 |
| 4046 | Find the long base $ a $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 44\, \text{mm}$, side $c = 44\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4047 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{cm}$, height $h = 6\, \text{cm}$ and area $A = 24\, \text{cm}^2$. | 2 |
| 4048 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$ and height $h = 1.9\, \text{mm}$. | 2 |
| 4049 | Find the long base $ a $ of a trapezoid if long base $a = 1.3\, \text{mm}$, short base $b = 0.7\, \text{mm}$ and height $h = 1.3\, \text{mm}$. | 2 |
| 4050 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 24.4854\, \text{in}$ and height $h = 26.441\, \text{in}$. | 2 |
