Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4051 | Find the angle $ \alpha $ 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 |
| 4052 | Find the angle $ \alpha $ of a trapezoid if long base $a = 70\, \text{in}$, short base $b = 65.5863\, \text{in}$ and height $h = 26.441\, \text{in}$. | 2 |
| 4053 | Find the short base $ b $ of a trapezoid if long base $a = 28.5\, \text{in}$, side $c = 39\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
| 4054 | Find the long base $ a $ of a trapezoid if long base $a = 28.5\, \text{in}$, side $c = 39\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
| 4055 | Find the short base $ b $ of a trapezoid if long base $a = 28.5\, \text{in}$, side $c = 39\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
| 4056 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 28.5\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 4057 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 28.5\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 4058 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 4059 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 84\, \text{in}$. | 2 |
| 4060 | Find the side $ c $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 84\, \text{in}$. | 2 |
| 4061 | Find the side $ c $ of a trapezoid if long base $a = 40.5\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4062 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{mm}$, side $c = 3\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4063 | Find the long base $ a $ of a trapezoid if long base $a = 3.1\, \text{mm}$, short base $b = 2.5\, \text{mm}$, side $c = 2.8\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4064 | Find the long base $ a $ of a trapezoid if long base $a = 3.1\, \text{mm}$, short base $b = 2.5\, \text{mm}$, side $c = 2.8\, \text{mm}$, height $h = 2.8\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4065 | Find the long base $ a $ of a trapezoid if long base $a = 1.65\, \text{mm}$, short base $b = 1.262\, \text{mm}$ and height $h = 1.5\, \text{mm}$. | 2 |
| 4066 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1.652\, \text{mm}$, short base $b = 1.281\, \text{mm}$ and height $h = 1.5\, \text{mm}$. | 2 |
| 4067 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{cm}$, short base $b = 16\, \text{cm}$ and side $c = 10.5\, \text{cm}$. | 2 |
| 4068 | Find the area $ A $ of a trapezoid if long base $a = 19\, \text{cm}$, short base $b = 16\, \text{cm}$ and side $c = 10.5\, \text{cm}$. | 2 |
| 4069 | Find the long base $ a $ of a trapezoid if long base $a = 119.5\, \text{in}$, short base $b = 91.5\, \text{in}$ and height $h = 24.375\, \text{in}$. | 2 |
| 4070 | Find the angle $ \alpha $ of a trapezoid if long base $a = 119.5\, \text{in}$, short base $b = 91.5\, \text{in}$ and height $h = 24.375\, \text{in}$. | 2 |
| 4071 | Find the long base $ a $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and side $c = 16\, \text{in}$. | 2 |
| 4072 | Find the height $ h $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and side $c = 12\, \text{in}$. | 2 |
| 4073 | Find the height $ h $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 46\, \text{in}$ and height $h = 16\, \text{in}$. | 2 |
| 4074 | Find the side $ c $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and height $h = 16\, \text{in}$. | 2 |
| 4075 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and side $c = 16\, \text{in}$. | 2 |
| 4076 | Find the side $ c $ of a trapezoid if long base $a = 46\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 57.91^o$. | 2 |
| 4077 | Find the height $ h $ of a trapezoid if long base $a = 46\, \text{in}$, side $c = 16\, \text{in}$ and angle $\alpha = 57.91^o$. | 2 |
| 4078 | Find the side $ c $ of a trapezoid if long base $a = 220\, \text{cm}$, short base $b = 96.5\, \text{cm}$ and height $h = 70\, \text{cm}$. | 2 |
| 4079 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.384\, \text{mm}$, short base $b = 0.332\, \text{mm}$ and height $h = 0.39\, \text{mm}$. | 2 |
| 4080 | Find the long base $ a $ of a trapezoid if long base $a = 7.4\, \text{m}$, short base $b = 5.5\, \text{m}$ and height $h = 6\, \text{m}$. | 2 |
| 4081 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 28\, \text{in}$. | 2 |
| 4082 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 28\, \text{in}$. | 2 |
| 4083 | Find the side $ c $ of a trapezoid if short base $b = 12\, \text{in}$, height $h = 21\, \text{in}$ and median $m = 21\, \text{in}$. | 2 |
| 4084 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and area $A = 108\, \text{mm}^2$. | 2 |
| 4085 | Find the long base $ a $ of a trapezoid if short base $b = 8.2647\, \text{mm}$, height $h = 7\, \text{mm}$ and angle $\alpha = 70^o$. | 2 |
| 4086 | Find the height $ h $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 7.4\, \text{mm}$ and side $c = 9\, \text{mm}$. | 2 |
| 4087 | Find the height $ h $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 1.6\, \text{mm}$ and side $c = 11.2\, \text{mm}$. | 2 |
| 4088 | Find the angle $ \alpha $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 3.2\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 4089 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 108\, \text{in}$. | 2 |
| 4090 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, side $c = 21\, \text{mm}$ and height $h = 19\, \text{mm}$. | 2 |
| 4091 | Find the side $ c $ of a trapezoid if long base $a = 38\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 19\, \text{mm}$. | 2 |
| 4092 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 17\, \text{mm}$. | 2 |
| 4093 | Find the short base $ b $ of a trapezoid if long base $a = 36\, \text{mm}$, side $c = 21\, \text{mm}$ and height $h = 17\, \text{mm}$. | 2 |
| 4094 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 5\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 4095 | Find the angle $ \beta $ of a trapezoid if height $h = 20\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 2 |
| 4096 | Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 16\, \text{mm}$. | 2 |
| 4097 | Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 16\, \text{ft}$. | 2 |
| 4098 | Find the area $ A $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 3\, \text{ft}$, side $c = 5\, \text{ft}$ and height $h = 4\, \text{ft}$. | 2 |
| 4099 | Find the height $ h $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 3.5\, \text{in}$ and side $c = 8\, \text{in}$. | 2 |
| 4100 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{cm}$, diagonal $d = 1\, \text{cm}$ and height $h = 8\, \text{cm}$. | 2 |
