Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3301 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{mm}$, height $h = 20\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3302 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{mm}$, side $c = 49\, \text{mm}$, height $h = 20\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3303 | Find the short base $ b $ of a trapezoid if long base $a = 28.3\, \text{in}$, height $h = 9.54\, \text{in}$ and angle $\alpha = 59.8172^o$. | 2 |
| 3304 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$ and side $c = 22\, \text{in}$. | 2 |
| 3305 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 1\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 3306 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12.5\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 3307 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12.5\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 3308 | Find the long base $ a $ of a trapezoid if long base $a = 282\, \text{mm}$, short base $b = 103\, \text{mm}$ and side $c = 131\, \text{mm}$. | 2 |
| 3309 | Find the height $ h $ of a trapezoid if long base $a = 282\, \text{mm}$, short base $b = 103\, \text{mm}$ and side $c = 131\, \text{mm}$. | 2 |
| 3310 | Find the height $ h $ of a trapezoid if long base $a = 282\, \text{cm}$, short base $b = 103\, \text{cm}$ and side $c = 131\, \text{cm}$. | 2 |
| 3311 | Find the long base $ a $ of a trapezoid if short base $b = 270\, \text{mm}$, height $h = 92\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 3312 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 3313 | Find the area $ A $ of a trapezoid if long base $a = 4\, \text{mm}$, side $c = 2\, \text{mm}$ and height $h = \sqrt{ 3 }\, \text{mm}$. | 2 |
| 3314 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, height $h = 5\, \text{mm}$, angle $\alpha = 5^o$ and angle $\beta = 5^o$. | 2 |
| 3315 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, height $h = 5\, \text{in}$, angle $\alpha = 5^o$ and angle $\beta = 5^o$. | 2 |
| 3316 | Find the long base $ a $ of a trapezoid if short base $b = 2.8\, \text{in}$, side $c = 4.1\, \text{in}$ and height $h = 3.4\, \text{in}$. | 2 |
| 3317 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 23.5\, \text{in}$. | 2 |
| 3318 | Find the side $ c $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 23.5\, \text{in}$. | 2 |
| 3319 | Find the long base $ a $ of a trapezoid if short base $b = 79.25\, \text{in}$, side $c = 22.5\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
| 3320 | Find the long base $ a $ of a trapezoid if short base $b = 79\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
| 3321 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, height $h = 6.5\, \text{mm}$ and angle $\alpha = 75.01^o$. | 2 |
| 3322 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 20.5\, \text{in}$. | 2 |
| 3323 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 17.375\, \text{in}$. | 2 |
| 3324 | Find the long base $ a $ of a trapezoid if short base $b = 1500\, \text{mm}$, side $c = 2000\, \text{mm}$, angle $\alpha = 22^o$ and angle $\beta = 68^o$. | 2 |
| 3325 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{in}$ and short base $b = 8\, \text{in}$. | 2 |
| 3326 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 22.5\, \text{in}$. | 2 |
| 3327 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 22.5\, \text{in}$. | 2 |
| 3328 | Find the short base $ b $ of a trapezoid if long base $a = 2.25\, \text{in}$, height $h = 36\, \text{in}$ and angle $\alpha = 89.4316^o$. | 2 |
| 3329 | Find the long base $ a $ of a trapezoid if short base $b = 27.51\, \text{in}$, height $h = 1\, \text{in}$ and angle $\beta = 76.5^o$. | 2 |
| 3330 | Find the angle $ \alpha $ of a trapezoid if long base $a = 27.99\, \text{in}$, short base $b = 25.71\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 3331 | Find the short base $ b $ of a trapezoid if long base $a = 33\, \text{ft}$, side $c = 7\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 3332 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{ft}$, side $c = 7\, \text{ft}$, diagonal $d = 20.68\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 3333 | Find the height $ h $ of a trapezoid if long base $a = 22\, \text{ft}$, side $c = 7\, \text{ft}$, diagonal $d = 20.68\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 3334 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 14.04^o$. | 2 |
| 3335 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3336 | Find the area $ A $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 16\, \text{in}$, side $c = 7.071\, \text{in}$ and height $h = 5\, \text{in}$. | 2 |
| 3337 | Find the side $ c $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 50\, \text{in}$ and height $h = 25.5\, \text{in}$. | 2 |
| 3338 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 3339 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 6\, \text{mm}$. | 2 |
| 3340 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{mm}$ and side $c = 13\, \text{mm}$. | 2 |
| 3341 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{mm}$, height $h = 1\, \text{mm}$ and angle $\beta = 71.57^o$. | 2 |
| 3342 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{ft}$, height $h = 1\, \text{ft}$ and angle $\beta = 71.57^o$. | 2 |
| 3343 | Find the long base $ a $ of a trapezoid if long base $a = 1840\, \text{mm}$, short base $b = 580\, \text{mm}$ and height $h = 450\, \text{mm}$. | 2 |
| 3344 | Find the long base $ a $ of a trapezoid if long base $a = 5.02\, \text{mm}$, short base $b = 2.46\, \text{mm}$, diagonal $d = 4.94\, \text{mm}$ and height $h = 3.34\, \text{mm}$. | 2 |
| 3345 | Find the long base $ a $ of a trapezoid if long base $a = 5.02\, \text{mm}$, short base $b = 2.46\, \text{mm}$ and height $h = 3.34\, \text{mm}$. | 2 |
| 3346 | Find the angle $ \beta $ of a trapezoid if long base $a = 5.25\, \text{in}$, short base $b = 0.75\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
| 3347 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 32.5\, \text{in}$ and side $c = 68.9\, \text{in}$. | 2 |
| 3348 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 15^o$. | 2 |
| 3349 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 7\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3350 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 7\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
