Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8401 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 9\, \text{mm}$ and side $c = 3.5\, \text{mm}$. | 1 |
| 8402 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 7\, \text{mm}$ and side $c = 4.5\, \text{mm}$. | 1 |
| 8403 | Find the long base $ a $ of a trapezoid if long base $a = 19.2083\, \text{ft}$, short base $b = 18.864\, \text{ft}$ and side $c = 16.765\, \text{ft}$. | 1 |
| 8404 | Find the short base $ b $ of a trapezoid if long base $a = 8819\, \text{mm}$, short base $b = 5500\, \text{mm}$, height $h = 2400\, \text{mm}$ and angle $\beta = 109^o$. | 1 |
| 8405 | Find the short base $ b $ of a trapezoid if long base $a = 8819\, \text{mm}$, short base $b = 5500\, \text{mm}$ and height $h = 2400\, \text{mm}$. | 1 |
| 8406 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8820\, \text{mm}$, short base $b = 5500\, \text{mm}$ and height $h = 2400\, \text{mm}$. | 1 |
| 8407 | Find the side $ c $ of a trapezoid if long base $a = 68\, \text{ft}$, short base $b = 34\, \text{ft}$ and height $h = 44\, \text{ft}$. | 1 |
| 8408 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8409 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8410 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8411 | Find the short base $ b $ of a trapezoid if long base $a = 31\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8412 | Find the short base $ b $ of a trapezoid if long base $a = 31.5\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8413 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8414 | Find the long base $ a $ of a trapezoid if short base $b = 18.5\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8415 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 8416 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, height $h = 5.4\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8417 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, height $h = 5.4\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 8418 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$ and median $m = 18.5\, \text{mm}$. | 1 |
| 8419 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$ and height $h = 17.5\, \text{mm}$. | 1 |
| 8420 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$, height $h = 17.5\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8421 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{mm}$, height $h = 17.5\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8422 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2 \sqrt{ 6 }\, \text{mm}$. | 1 |
| 8423 | Find the area $ A $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2 \sqrt{ 6 }\, \text{mm}$. | 1 |
| 8424 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2 \sqrt{ 6 }\, \text{mm}$. | 1 |
| 8425 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and height $h = \sqrt{ 6 }\, \text{mm}$. | 1 |
| 8426 | Find the area $ A $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and height $h = \sqrt{ 6 }\, \text{mm}$. | 1 |
| 8427 | Find the long base $ a $ of a trapezoid if long base $a = 3.14\, \text{m}$, short base $b = 0.6\, \text{m}$ and side $c = 6.517\, \text{m}$. | 1 |
| 8428 | Find the height $ h $ of a trapezoid if long base $a = 141.049\, \text{mm}$, area $A = 225.03\, \text{mm}^2$, angle $\alpha = 84^o$ and angle $\beta = 96^o$. | 1 |
| 8429 | Find the height $ h $ of a trapezoid if long base $a = 141.049\, \text{mm}$, area $A = 225.03\, \text{mm}^2$ and angle $\alpha = 96^o$. | 1 |
| 8430 | Find the height $ h $ of a trapezoid if long base $a = 2.87\, \text{m}$, short base $b = 1.57\, \text{mm}$ and side $c = 4.542\, \text{mm}$. | 1 |
| 8431 | Find the height $ h $ of a trapezoid if long base $a = 2.87\, \text{mm}$, short base $b = 1.57\, \text{mm}$ and side $c = 4.542\, \text{mm}$. | 1 |
| 8432 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$ and side $c = 40\, \text{mm}$. | 1 |
| 8433 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$, side $c = 38\, \text{mm}$ and diagonal $d = 38\, \text{mm}$. | 1 |
| 8434 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 8435 | Find the side $ c $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 8436 | Find the long base $ a $ of a trapezoid if short base $b = 4.75\, \text{cm}$ and height $h = 23.875\, \text{cm}$. | 1 |
| 8437 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mm}$ and height $h = 23.875\, \text{cm}$. | 1 |
| 8438 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mm}$ and short base $b = 4.75\, \text{cm}$. | 1 |
| 8439 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, side $c = 120\, \text{mm}$ and median $m = 81.24\, \text{mm}$. | 1 |
| 8440 | Find the long base $ a $ of a trapezoid if short base $b = 84.96\, \text{mm}$, side $c = 60\, \text{mm}$ and height $h = 81.24\, \text{mm}$. | 1 |
| 8441 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{ft}$, side $c = 10\, \text{ft}$ and diagonal $d = 170.5\, \text{in}$. | 1 |
| 8442 | Find the angle $ \beta $ of a trapezoid if long base $a = 10.596\, \text{mm}$, short base $b = 3.065\, \text{mm}$ and side $c = 10.559\, \text{mm}$. | 1 |
| 8443 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.31\, \text{mm}$, short base $b = 1.344\, \text{mm}$ and side $c = 10.477\, \text{mm}$. | 1 |
| 8444 | Find the long base $ a $ of a trapezoid if long base $a = 120\, \text{in}$, short base $b = 120\, \text{in}$ and side $c = 120\, \text{in}$. | 1 |
| 8445 | Find the long base $ a $ of a trapezoid if short base $b = 120\, \text{in}$, side $c = 120\, \text{in}$ and diagonal $d = 170\, \text{in}$. | 1 |
| 8446 | Find the side $ c $ of a trapezoid if long base $a = 16.875\, \text{mm}$, short base $b = 7.875\, \text{mm}$ and height $h = 28.5\, \text{mm}$. | 1 |
| 8447 | Find the long base $ a $ of a trapezoid if long base $a = 84.5\, \text{in}$, short base $b = 34.5\, \text{in}$ and side $c = 32\, \text{in}$. | 1 |
| 8448 | Find the angle $ \alpha $ of a trapezoid if long base $a = 84.5\, \text{in}$, short base $b = 34.5\, \text{in}$ and side $c = 32\, \text{in}$. | 1 |
| 8449 | Find the angle $ \beta $ of a trapezoid if long base $a = 84.5\, \text{in}$, short base $b = 34.5\, \text{in}$ and side $c = 32\, \text{in}$. | 1 |
| 8450 | Find the height $ h $ of a trapezoid if long base $a = 84.5\, \text{in}$, short base $b = 34.5\, \text{in}$ and side $c = 32\, \text{in}$. | 1 |
