Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 10301 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 20\, \text{mm}$. | 1 |
| 10302 | Find the side $ c $ of a trapezoid if height $h = 19.05\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 10303 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 10304 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 10305 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 10306 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 10307 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 10308 | Find the angle $ \beta $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 10309 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 10310 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 10311 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 10312 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 10313 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\beta = 60^o$. | 1 |
| 10314 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\beta = 60^o$. | 1 |
| 10315 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 10316 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 10317 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 14\, \text{in}$. | 1 |
| 10318 | Find the long base $ a $ of a trapezoid if long base $a = 11.625\, \text{in}$, short base $b = 17.4375\, \text{in}$ and height $h = 16\, \text{in}$. | 1 |
| 10319 | Find the long base $ a $ of a trapezoid if area $A = 144001\, \text{mm}^2$, angle $\alpha = 70.584^o$ and angle $\beta = 19.416^o$. | 1 |
| 10320 | Find the side $ c $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 15.25\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 10321 | Find the diagonal $ d $ of a trapezoid if long base $a = 8\, \text{cm}$, short base $b = 2\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 10322 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 10323 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{in}$, height $h = \frac{ 21 }{ 16 }\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 10324 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{in}$, height $h = 2.0625\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 10325 | Find the short base $ b $ of a trapezoid if long base $a = 25\, \text{mm}$ and median $m = 18\, \text{mm}$. | 1 |
| 10326 | Find the perimeter $ P $ of a trapezoid if long base $a = 27\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 12 \sqrt{ 2 }\, \text{mm}$. | 1 |
| 10327 | Find the median $ m $ of a trapezoid if long base $a = 1153\, \text{mm}$, short base $b = 1000\, \text{mm}$ and height $h = 1100\, \text{mm}$. | 1 |
| 10328 | Find the side $ c $ of a trapezoid if long base $a = 91\, \text{in}$, short base $b = 48\, \text{in}$ and angle $\beta = 35^o$. | 1 |
| 10329 | Find the side $ c $ of a trapezoid if long base $a = 91\, \text{in}$, short base $b = 48\, \text{in}$ and angle $\alpha = 35^o$. | 1 |
| 10330 | Find the perimeter $ P $ of a trapezoid if long base $a = 48\, \text{in}$, side $c = 18\, \text{in}$ and height $h = 50\, \text{mm}$. | 1 |
| 10331 | Find the side $ c $ of a trapezoid if long base $a = 50\, \text{in}$, side $c = 18\, \text{in}$ and height $h = 48\, \text{in}$. | 1 |
| 10332 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 12$, area $A = 150$ and angle $\alpha = 30^o$. | 1 |
| 10333 | Find the long base $ a $ of a trapezoid if short base $b = 36$, height $h = 18$ and angle $\beta = 20^o$. | 1 |
| 10334 | Find the long base $ a $ of a trapezoid if long base $a = 39$, short base $b = 21$, side $c = \frac{ 31 }{ 2 }$ and height $h = 13$. | 1 |
| 10335 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 106 }{ 25 }$, height $h = 3$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 10336 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 17 }{ 4 }$, height $h = 3$ and angle $\alpha = 30^o$. | 1 |
| 10337 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 45^o$. | 1 |
| 10338 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 90^o$. | 1 |
| 10339 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 35^o$. | 1 |
| 10340 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\beta = 135^o$. | 1 |
| 10341 | Find the area $ A $ of a trapezoid if long base $a = 11$, short base $b = 33$ and height $h = 22$. | 1 |
| 10342 | Find the short base $ b $ of a trapezoid if long base $a = 80$, side $c = \frac{ 711 }{ 25 }$ and height $h = 24$. | 1 |
| 10343 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 13$ and height $h = 14$. | 1 |
| 10344 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$ and side $c = \frac{ 711 }{ 25 }$. | 1 |
| 10345 | Find the long base $ a $ of a trapezoid if long base $a = 40$, short base $b = 8$ and height $h = \frac{ 1866 }{ 125 }$. | 1 |
| 10346 | Find the of a trapezoid if long base $a = 10$, short base $b = 2$ and height $h = \frac{ 1866 }{ 125 }$. | 1 |
| 10347 | Find the side $ c $ of a trapezoid if long base $a = 11$, short base $b = 10$, height $h = \frac{ 13 }{ 2 }$ and perimeter $P = \frac{ 273 }{ 4 }$. | 1 |
| 10348 | Find the diagonal $ d $ of a trapezoid if long base $a = \frac{ 255 }{ 4 }$, short base $b = \frac{ 255 }{ 4 }$ and side $c = \frac{ 195 }{ 4 }$. | 1 |
| 10349 | Find the long base $ a $ of a trapezoid if long base $a = 100$, height $h = 75$ and angle $\alpha = 65^o$. | 1 |
| 10350 | Find the short base $ b $ of a trapezoid if long base $a = 100$, height $h = 75$ and angle $\alpha = 65^o$. | 1 |
