Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 301 | Find the long base $ a $ of a trapezoid if long base $a = 24$, angle $\alpha = 90^o$ and angle $\beta = 57^o$. | 6 |
| 302 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 4$ and side $c = 3$. | 6 |
| 303 | Find the of a trapezoid if long base $a = \frac{ 1 }{ 25 }$, short base $b = \frac{ 27 }{ 1000 }$ and height $h = \frac{ 247 }{ 1000 }$. | 6 |
| 304 | Find the short base $ b $ of a trapezoid if long base $a = 12$, side $c = 7$ and angle $\alpha = 70^o$. | 6 |
| 305 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = \frac{ 206799 }{ 10000 }$. | 6 |
| 306 | Find the height $ h $ of a trapezoid if long base $a = 22$, short base $b = 8$ and area $A = 135$. | 6 |
| 307 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 104^o$. | 6 |
| 308 | Find the area $ A $ of a trapezoid if long base $a = 415$, short base $b = 75$ and side $c = 525.1505$. | 6 |
| 309 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 19 }{ 5 }$ and angle $\alpha = 60^o$. | 6 |
| 310 | Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\alpha = 60^o$. | 6 |
| 311 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 18 }{ 5 }$ and angle $\alpha = 60^o$. | 6 |
| 312 | Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = 2$ and side $c = 24$. | 6 |
| 313 | Find the long base $ a $ of a trapezoid if short base $b = 18$, side $c = 11$ and height $h = 10$. | 6 |
| 314 | Find the long base $ a $ of a trapezoid if long base $a = 50$, short base $b = 32$ and height $h = 24$. | 6 |
| 315 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 90^o$. | 6 |
| 316 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 37 }{ 2 }$, short base $b = \frac{ 29 }{ 2 }$, height $h = 22$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 6 |
| 317 | Find the long base $ a $ of a trapezoid if long base $a = 117$, short base $b = 116$ and side $c = 72$. | 6 |
| 318 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 65 }{ 4 }$, short base $b = 19$ and height $h = \frac{ 35 }{ 2 }$. | 6 |
| 319 | Find the long base $ a $ of a trapezoid if long base $a = 9$, short base $b = \frac{ 11 }{ 2 }$ and side $c = \frac{ 47 }{ 10 }$. | 6 |
| 320 | Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 18$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 321 | Find the long base $ a $ of a trapezoid if long base $a = 15$, side $c = 7$ and angle $\alpha = 60^o$. | 6 |
| 322 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 5701 }{ 100 }$, height $h = \frac{ 4873 }{ 20 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 6 |
| 323 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 75 }{ 2 }$, side $c = 36$, height $h = 36$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 4989 }{ 40 }^o$. | 6 |
| 324 | Find the short base $ b $ of a trapezoid if long base $a = 20$, height $h = 1$ and angle $\alpha = 45^o$. | 6 |
| 325 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = 4$ and side $c = 13$. | 5 |
| 326 | Find the long base $ a $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 5 |
| 327 | Find the side $ c $ of a trapezoid if long base $a = 18$ and short base $b = 6$. | 5 |
| 328 | Find the long base $ a $ of a trapezoid if long base $a = 30$, side $c = 10$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 5 |
| 329 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 19 }{ 16 }$, short base $b = \frac{ 7 }{ 8 }$ and height $h = \frac{ 9 }{ 2 }$. | 5 |
| 330 | Find the short base $ b $ of a trapezoid if long base $a = 20$, short base $b = 15$ and height $h = \frac{ 7 }{ 2 }$. | 5 |
| 331 | Find the long base $ a $ of a trapezoid if long base $a = 29$, height $h = 9$ and area $A = \frac{ 387 }{ 2 }$. | 5 |
| 332 | Find the height $ h $ of a trapezoid if long base $a = 48$, short base $b = 22$ and area $A = 218$. | 5 |
| 333 | Find the of a trapezoid if angle $\beta = 122^o$. | 5 |
| 334 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 5$ and height $h = 40$. | 5 |
| 335 | Find the short base $ b $ of a trapezoid if long base $a = 4$, height $h = \frac{ 143 }{ 10 }$ and area $A = \frac{ 3289 }{ 25 }$. | 5 |
| 336 | Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$. | 5 |
| 337 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1491 }{ 16 }$, short base $b = \frac{ 323 }{ 4 }$ and angle $\alpha = 30^o$. | 5 |
| 338 | Find the of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = 3$ and height $h = 10$. | 5 |
| 339 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 12^o$. | 5 |
| 340 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$. | 5 |
| 341 | Find the long base $ a $ of a trapezoid if short base $b = 20$ and side $c = 40$. | 5 |
| 342 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 6$ and height $h = 4$. | 5 |
| 343 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 31 }{ 8 }$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 5 |
| 344 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\alpha = 75^o$. | 5 |
| 345 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 9$. | 5 |
| 346 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = \frac{ 24 }{ 5 }$. | 5 |
| 347 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 3 }{ 2 }$ and side $c = \frac{ 63 }{ 20 }$. | 5 |
| 348 | Find the of a trapezoid if long base $a = 200$, short base $b = 145$ and height $h = 111$. | 5 |
| 349 | Find the long base $ a $ of a trapezoid if short base $b = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$. | 5 |
| 350 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
