Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8201 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 76 }{ 5 }$, height $h = \frac{ 881 }{ 5 }$ and angle $\alpha = \frac{ 1793 }{ 20 }^o$. | 1 |
| 8202 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 76 }{ 5 }$, height $h = \frac{ 881 }{ 5 }$ and angle $\alpha = \frac{ 448 }{ 5 }^o$. | 1 |
| 8203 | Find the long base $ a $ of a trapezoid if long base $a = 16$, short base $b = 11$ and side $c = \frac{ 43 }{ 5 }$. | 1 |
| 8204 | Find the long base $ a $ of a trapezoid if short base $b = 13$ and median $m = 19$. | 1 |
| 8205 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 267 }{ 20 }$, side $c = 32$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 1519 }{ 200 }^o$. | 1 |
| 8206 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 8$, side $c = \frac{ 5099 }{ 1000 }$, height $h = 5$ and angle $\alpha = 78^o$. | 1 |
| 8207 | Find the short base $ b $ of a trapezoid if long base $a = 1$, angle $\alpha = 67^o$ and angle $\beta = 123^o$. | 1 |
| 8208 | Find the long base $ a $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 11 }{ 4 }$ and height $h = 3$. | 1 |
| 8209 | Find the long base $ a $ of a trapezoid if long base $a = 8$, height $h = 3$ and area $A = 21$. | 1 |
| 8210 | Find the short base $ b $ of a trapezoid if long base $a = 8$, height $h = 3$ and area $A = 21$. | 1 |
| 8211 | Find the long base $ a $ of a trapezoid if long base $a = 267$, short base $b = \frac{ 2593 }{ 10 }$ and side $c = \frac{ 8693 }{ 20 }$. | 1 |
| 8212 | Find the area $ A $ of a trapezoid if long base $a = 267$, short base $b = \frac{ 2593 }{ 10 }$ and side $c = \frac{ 8693 }{ 20 }$. | 1 |
| 8213 | Find the short base $ b $ of a trapezoid if long base $a = 510$ and height $h = 180$. | 1 |
| 8214 | Find the area $ A $ of a trapezoid if long base $a = 710$, short base $b = 510$ and height $h = 180$. | 1 |
| 8215 | Find the long base $ a $ of a trapezoid if short base $b = 48$, side $c = 3$ and height $h = 12$. | 1 |
| 8216 | Find the angle $ \beta $ of a trapezoid if short base $b = 48$, side $c = 3$ and height $h = 12$. | 1 |
| 8217 | Find the diagonal $ d $ of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 24$. | 1 |
| 8218 | Find the side $ c $ of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 24$. | 1 |
| 8219 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = \frac{ 243 }{ 10 }$. | 1 |
| 8220 | Find the angle $ \beta $ of a trapezoid if long base $a = 48$, short base $b = 30$ and angle $\alpha = 75^o$. | 1 |
| 8221 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 20$. | 1 |
| 8222 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 21$. | 1 |
| 8223 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 22$. | 1 |
| 8224 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 27$. | 1 |
| 8225 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 25$. | 1 |
| 8226 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = \frac{ 49 }{ 2 }$. | 1 |
| 8227 | Find the height $ h $ of a trapezoid if long base $a = 48$, short base $b = 30$ and angle $\beta = 105^o$. | 1 |
| 8228 | Find the short base $ b $ of a trapezoid if long base $a = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$. | 1 |
| 8229 | Find the long base $ a $ of a trapezoid if long base $a = 2$ and short base $b = 4$. | 1 |
| 8230 | Find the height $ h $ of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = \frac{ 37 }{ 2 }$. | 1 |
| 8231 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = \frac{ 37 }{ 2 }$. | 1 |
| 8232 | Find the height $ h $ of a trapezoid if long base $a = 24$, short base $b = 18$ and side $c = \frac{ 167 }{ 10 }$. | 1 |
| 8233 | Find the height $ h $ of a trapezoid if long base $a = 24$, short base $b = 15$ and side $c = \frac{ 167 }{ 10 }$. | 1 |
| 8234 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 15$ and height $h = \frac{ 33 }{ 2 }$. | 1 |
| 8235 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 3$ and height $h = 8$. | 1 |
| 8236 | Find the area $ A $ of a trapezoid if long base $a = 120$, short base $b = 78$ and height $h = 45$. | 1 |
| 8237 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, angle $\alpha = 16^o$ and angle $\beta = 90^o$. | 1 |
| 8238 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 23 }{ 2 }$ and short base $b = \frac{ 3 }{ 2 }$. | 1 |
| 8239 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 90^o$. | 1 |
| 8240 | Find the long base $ a $ of a trapezoid if short base $b = 2$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8241 | Find the of a trapezoid if long base $a = \frac{ 413 }{ 16 }$, side $c = \frac{ 33 }{ 16 }$, diagonal $d = \frac{ 33 }{ 16 }$ and height $h = 5$. | 1 |
| 8242 | Find the of a trapezoid if long base $a = \frac{ 413 }{ 16 }$, side $c = \frac{ 33 }{ 16 }$ and diagonal $d = \frac{ 33 }{ 16 }$. | 1 |
| 8243 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 20$ and height $h = 10$. | 1 |
| 8244 | Find the long base $ a $ of a trapezoid if long base $a = 48$, short base $b = 48$, side $c = 96$ and height $h = 78$. | 1 |
| 8245 | Find the long base $ a $ of a trapezoid if long base $a = 48$, side $c = 96$ and height $h = 78$. | 1 |
| 8246 | Find the short base $ b $ of a trapezoid if long base $a = 25$, side $c = \frac{ 25 }{ 2 }$ and angle $\alpha = 60^o$. | 1 |
| 8247 | Find the short base $ b $ of a trapezoid if long base $a = 25$, side $c = \frac{ 25 }{ 2 }$, height $h = \frac{ 433 }{ 40 }$ and angle $\alpha = 60^o$. | 1 |
| 8248 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 23$, side $c = \frac{ 111 }{ 4 }$ and height $h = 27$. | 1 |
| 8249 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 23$, side $c = \frac{ 111 }{ 4 }$, diagonal $d = 40$ and height $h = 27$. | 1 |
| 8250 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 23$ and height $h = 27$. | 1 |