Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9401 | Find the long base $ a $ of a trapezoid if long base $a = 32.5\, \text{in}$, height $h = 15.75\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9402 | Find the long base $ a $ of a trapezoid if long base $a = 32.5\, \text{mm}$, side $c = 15.75\, \text{mm}$, height $h = 15.75\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9403 | Find the long base $ a $ of a trapezoid if long base $a = 111\, \text{in}$, side $c = 45.5\, \text{in}$ and height $h = 30\, \text{in}$. | 1 |
| 9404 | Find the angle $ \beta $ of a trapezoid if long base $a = 111\, \text{in}$, side $c = 45.5\, \text{in}$ and height $h = 30\, \text{in}$. | 1 |
| 9405 | Find the long base $ a $ of a trapezoid if long base $a = 7.5\, \text{in}$, short base $b = 1\, \text{in}$, side $c = 40.1\, \text{in}$ and angle $\alpha = 106.5^o$. | 1 |
| 9406 | Find the angle $ \alpha $ of a trapezoid if long base $a = 15.25\, \text{in}$, short base $b = 13\, \text{in}$ and height $h = 19\, \text{in}$. | 1 |
| 9407 | Find the side $ c $ of a trapezoid if long base $a = 7.5\, \text{in}$, short base $b = 1\, \text{in}$ and angle $\alpha = 107^o$. | 1 |
| 9408 | Find the long base $ a $ of a trapezoid if short base $b = 5.4\, \text{mm}$ and side $c = 5.4\, \text{mm}$. | 1 |
| 9409 | Find the long base $ a $ of a trapezoid if long base $a = 225\, \text{mm}$, short base $b = 145\, \text{mm}$ and side $c = 370\, \text{mm}$. | 1 |
| 9410 | Find the angle $ \alpha $ of a trapezoid if long base $a = 225\, \text{mm}$, short base $b = 145\, \text{mm}$ and side $c = 370\, \text{mm}$. | 1 |
| 9411 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 2\, \text{ft}$. | 1 |
| 9412 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 2\, \text{ft}$. | 1 |
| 9413 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 1\, \text{ft}$. | 1 |
| 9414 | Find the side $ c $ of a trapezoid if short base $b = 4\, \text{ft}$, height $h = 1\, \text{ft}$ and angle $\beta = 154^o$. | 1 |
| 9415 | Find the angle $ \beta $ of a trapezoid if long base $a = 8.45\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 1\, \text{ft}$. | 1 |
| 9416 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{ft}$, height $h = 1\, \text{ft}$ and angle $\beta = 156^o$. | 1 |
| 9417 | Find the side $ c $ of a trapezoid if short base $b = 4\, \text{ft}$, height $h = 1\, \text{ft}$ and angle $\beta = 156^o$. | 1 |
| 9418 | Find the angle $ \beta $ of a trapezoid if short base $b = 4\, \text{ft}$ and height $h = 1.5\, \text{ft}$. | 1 |
| 9419 | Find the angle $ \beta $ of a trapezoid if long base $a = 102\, \text{in}$, short base $b = 4\, \text{ft}$ and height $h = 1.5\, \text{ft}$. | 1 |
| 9420 | Find the long base $ a $ of a trapezoid if long base $a = 13.8\, \text{mm}$ and height $h = 16.9\, \text{mm}$. | 1 |
| 9421 | Find the short base $ b $ of a trapezoid if long base $a = 13.8\, \text{mm}$ and height $h = 16.9\, \text{mm}$. | 1 |
| 9422 | Find the short base $ b $ of a trapezoid if long base $a = 13.8\, \text{mm}$, height $h = 16.9\, \text{mm}$ and area $A = 175.76\, \text{mm}^2$. | 1 |
| 9423 | Find the long base $ a $ of a trapezoid if long base $a = 1000\, \text{mm}$, short base $b = 740\, \text{cm}$ and height $h = 740\, \text{cm}$. | 1 |
| 9424 | Find the long base $ a $ of a trapezoid if short base $b = 9.75\, \text{in}$ and angle $\beta = 100^o$. | 1 |
| 9425 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{cm}$, short base $b = 5\, \text{cm}$ and height $h = 4\, \text{cm}$. | 1 |
| 9426 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{ft}$, short base $b = 14\, \text{ft}$ and height $h = 8\, \text{ft}$. | 1 |
| 9427 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{ft}$, short base $b = 14\, \text{ft}$, height $h = 8\, \text{ft}$ and angle $\alpha = 45^o$. | 1 |
| 9428 | Find the height $ h $ of a trapezoid if long base $a = 4\, \text{in}$, short base $b = 2\, \text{in}$ and angle $\beta = 60^o$. | 1 |
| 9429 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{in}$, height $h = 24\, \text{in}$, angle $\alpha = 65^o$ and angle $\beta = 115^o$. | 1 |
| 9430 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 65^o$. | 1 |
| 9431 | Find the short base $ b $ of a trapezoid if long base $a = 25\, \text{in}$, height $h = 22\, \text{in}$ and angle $\alpha = 65^o$. | 1 |
| 9432 | Find the short base $ b $ of a trapezoid if long base $a = 27.33\, \text{m}$, height $h = 3\, \text{m}$ and area $A = 147.31\, \text{m}^2$. | 1 |
| 9433 | Find the short base $ b $ of a trapezoid if short base $b = 27.33\, \text{m}$, height $h = 3\, \text{m}$ and area $A = 147.31\, \text{m}^2$. | 1 |
| 9434 | Find the long base $ a $ of a trapezoid if short base $b = 27.33\, \text{m}$, height $h = 3\, \text{m}$ and area $A = 147.31\, \text{m}^2$. | 1 |
| 9435 | Find the long base $ a $ of a trapezoid if short base $b = 27.33\, \text{m}$, diagonal $d = 3\, \text{m}$ and area $A = 147.31\, \text{m}^2$. | 1 |
| 9436 | Find the short base $ b $ of a trapezoid if long base $a = 27.33\, \text{m}$, diagonal $d = 3\, \text{m}$ and area $A = 147.31\, \text{m}^2$. | 1 |
| 9437 | Find the short base $ b $ of a trapezoid if long base $a = 27.33\, \text{m}$, height $h = 3\, \text{m}$ and area $A = 147.31\, \text{m}^2$. | 1 |
| 9438 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 36\, \text{in}$. | 1 |
| 9439 | Find the side $ c $ of a trapezoid if long base $a = 30\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 75^o$. | 1 |
| 9440 | Find the height $ h $ of a trapezoid if angle $\alpha = 74^o$ and angle $\beta = 74^o$. | 1 |
| 9441 | Find the height $ h $ of a trapezoid if long base $a = 30\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 9442 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 30\, \text{in}$. | 1 |
| 9443 | Find the height $ h $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 10\, \text{in}$ and angle $\alpha = 70^o$. | 1 |
| 9444 | Find the angle $ \alpha $ of a trapezoid if ???. | 1 |
| 9445 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$ and side $c = 45\, \text{mm}$. | 1 |
| 9446 | Find the angle $ \beta $ of a trapezoid if short base $b = 60\, \text{mm}$ and side $c = 45\, \text{mm}$. | 1 |
| 9447 | Find the diagonal $ d $ of a trapezoid if short base $b = 60\, \text{mm}$ and side $c = 45\, \text{mm}$. | 1 |
| 9448 | Find the diagonal $ d $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 45\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9449 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 45\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9450 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 45\, \text{mm}$, diagonal $d = 97.11\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
