Trapezoid – Solved Problems Database
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 351 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 509 }{ 50 }$, short base $b = \frac{ 849 }{ 100 }$ and height $h = \frac{ 5 }{ 2 }$. | 3 |
| 352 | Find the median $ m $ of a trapezoid if diagonal $d = 25$ and height $h = 15$. | 3 |
| 353 | Find the of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, short base $b = \frac{ 6 }{ 5 }$ and height $h = \frac{ 43 }{ 250 }$. | 3 |
| 354 | Find the long base $ a $ of a trapezoid if short base $b = 30$, height $h = 30$, angle $\alpha = 110^o$ and angle $\beta = 110^o$. | 3 |
| 355 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and diagonal $d = 2 \sqrt{ 6 }$. | 3 |
| 356 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and height $h = \sqrt{ 8 }$. | 3 |
| 357 | Find the short base $ b $ of a trapezoid if long base $a = 30$, side $c = 10$ and angle $\alpha = 60^o$. | 3 |
| 358 | Find the short base $ b $ of a trapezoid if long base $a = 36$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 359 | Find the long base $ a $ of a trapezoid if long base $a = 30$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
| 360 | Find the area $ A $ of a trapezoid if long base $a = 40$, short base $b = 20$ and height $h = 5 \sqrt{ 3 }$. | 3 |
| 361 | Find the long base $ a $ of a trapezoid if short base $b = 53$, side $c = 48$ and diagonal $d = 76$. | 3 |
| 362 | Find the area $ A $ of a trapezoid if long base $a = \sqrt{ 50 }$, side $c = 5$ and diagonal $d = \sqrt{ 75 }$. | 3 |
| 363 | Find the side $ c $ of a trapezoid if long base $a = 560$, short base $b = 144$, angle $\alpha = 76^o$ and angle $\beta = 104^o$. | 3 |
| 364 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = 12$ and angle $\alpha = 90^o$. | 3 |
| 365 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = 2$ and side $c = 2$. | 3 |
| 366 | Find the short base $ b $ of a trapezoid if long base $a = 300$, height $h = 370$ and angle $\alpha = 80^o$. | 3 |
| 367 | Find the short base $ b $ of a trapezoid if long base $a = 73$, side $c = 27$, height $h = \frac{ 105 }{ 4 }$, angle $\alpha = 79^o$ and angle $\beta = 79^o$. | 3 |
| 368 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 16$ and height $h = 12$. | 3 |
| 369 | Find the diagonal $ d $ of a trapezoid if long base $a = 30$, short base $b = 15$, side $c = 20$ and diagonal $d = 20$. | 3 |
| 370 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 37 }{ 2 }$, short base $b = \frac{ 33 }{ 2 }$ and height $h = \frac{ 35 }{ 2 }$. | 3 |
| 371 | Find the short base $ b $ of a trapezoid if long base $a = 15$, height $h = 1$ and angle $\alpha = 45^o$. | 3 |
| 372 | Find the diagonal $ d $ of a trapezoid if long base $a = \frac{ 2446 }{ 5 }$, short base $b = 376$ and height $h = \frac{ 4169 }{ 10 }$. | 3 |
| 373 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 12$ and area $A = 150$. | 3 |
| 374 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 4$ and side $c = \frac{ 58 }{ 5 }$. | 3 |
| 375 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 45^o$. | 3 |
| 376 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$, side $c = \frac{ 711 }{ 25 }$ and height $h = 24$. | 3 |
| 377 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$ and height $h = 24$. | 3 |
| 378 | Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 10$ and area $A = 85$. | 3 |
| 379 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 207 }{ 2 }$, side $c = \frac{ 417 }{ 4 }$ and angle $\alpha = 90^o$. | 3 |
| 380 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 207 }{ 2 }$, height $h = \frac{ 417 }{ 4 }$ and angle $\alpha = 86^o$. | 3 |
| 381 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 28$ and height $h = 20$. | 3 |
| 382 | Find the long base $ a $ of a trapezoid if long base $a = 14$, short base $b = 8$ and height $h = 20$. | 3 |
| 383 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 5$ and height $h = 4$. | 3 |
| 384 | Find the side $ c $ of a trapezoid if long base $a = 72$, side $c = \frac{ 45 }{ 4 }$ and height $h = 8$. | 3 |
| 385 | Find the of a trapezoid if long base $a = 70$, short base $b = 10$ and height $h = 30$. | 3 |
| 386 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 9$. | 3 |
| 387 | Find the area $ A $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 12 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 3 |
| 388 | Find the long base $ a $ of a trapezoid if short base $b = 3$, side $c = \frac{ 18 }{ 5 }$ and height $h = 2$. | 3 |
| 389 | Find the of a trapezoid if long base $a = \frac{ 115 }{ 2 }$, side $c = \frac{ 35 }{ 4 }$, diagonal $d = \frac{ 475 }{ 8 }$ and height $h = \frac{ 91 }{ 4 }$. | 3 |
| 390 | Find the long base $ a $ of a trapezoid if long base $a = 140$, short base $b = 80$, side $c = 600$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 391 | Find the long base $ a $ of a trapezoid if long base $a = 140$ and short base $b = 80$. | 3 |
| 392 | Find the of a trapezoid if long base $a = \frac{ 9493 }{ 250 }$, short base $b = \sqrt{ 200 }$ and height $h = 3 \sqrt{ 200 }$. | 3 |
| 393 | Find the long base $ a $ of a trapezoid if short base $b = 27$, height $h = 11$ and area $A = 209$. | 3 |
| 394 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 30$ and height $h = 7$. | 3 |
| 395 | Find the long base $ a $ of a trapezoid if long base $a = 17$, short base $b = 15$ and height $h = \frac{ 35 }{ 2 }$. | 3 |
| 396 | Find the short base $ b $ of a trapezoid if long base $a = 200$, side $c = 50$ and area $A = 10000$. | 3 |
| 397 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 114943 }{ 500 }$, side $c = \frac{ 49789 }{ 250 }$ and angle $\alpha = 75^o$. | 3 |
| 398 | Find the side $ c $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\beta = 45^o$. | 3 |
| 399 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 973 }{ 100 }$, height $h = 3$ and angle $\alpha = 76^o$. | 3 |
| 400 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$ and side $c = 15$. | 3 |
