Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1451 | Find the angle $ \beta $ of a trapezoid if long base $a = 22.5\, \text{in}$, short base $b = 22\, \text{in}$ and side $c = 74.75\, \text{in}$. | 3 |
| 1452 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$, short base $b = 2\, \text{in}$ and height $h = 4.5\, \text{in}$. | 3 |
| 1453 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, side $c = 16\, \text{in}$ and height $h = 12\, \text{in}$. | 3 |
| 1454 | Find the long base $ a $ of a trapezoid if short base $b = 27\, \text{in}$, side $c = 16\, \text{in}$ and height $h = 12\, \text{in}$. | 3 |
| 1455 | Find the median $ m $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 60\, \text{mm}$ and side $c = 125\, \text{mm}$. | 3 |
| 1456 | Find the height $ h $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 25\, \text{mm}$ and median $m = 80\, \text{mm}$. | 3 |
| 1457 | Find the median $ m $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 80\, \text{mm}$ and height $h = 25\, \text{mm}$. | 3 |
| 1458 | Find the short base $ b $ of a trapezoid if side $c = 7$, diagonal $d = \frac{ 206799 }{ 10000 }$ and angle $\alpha = 70^o$. | 3 |
| 1459 | Find the long base $ a $ of a trapezoid if long base $a = 25$ and height $h = 16$. | 3 |
| 1460 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 5$, side $c = 9$ and height $h = 8$. | 3 |
| 1461 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 56$ and height $h = 39$. | 3 |
| 1462 | Find the of a trapezoid if long base $a = 350$, short base $b = 250$ and height $h = 1000$. | 3 |
| 1463 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, side $c = 10.5186$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 3 |
| 1464 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 3 |
| 1465 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\beta = 92^o$. | 3 |
| 1466 | Find the angle $ \beta $ of a trapezoid if long base $a = 38$, side $c = \frac{ 65 }{ 2 }$ and height $h = 30$. | 3 |
| 1467 | Find the short base $ b $ of a trapezoid if long base $a = 23$, height $h = 8$ and area $A = 160$. | 3 |
| 1468 | Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 12$ and side $c = 24$. | 3 |
| 1469 | Find the short base $ b $ of a trapezoid if short base $b = 7$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 92^o$. | 3 |
| 1470 | Find the side $ c $ of a trapezoid if long base $a = 2000$, short base $b = 500$ and height $h = 2000$. | 3 |
| 1471 | Find the long base $ a $ of a trapezoid if long base $a = 48$, short base $b = 42$ and area $A = 225$. | 3 |
| 1472 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 4 }$, short base $b = \frac{ 1 }{ 2 }$ and side $c = 43$. | 3 |
| 1473 | Find the area $ A $ of a trapezoid if long base $a = 20$, side $c = 12$ and diagonal $d = 16$. | 3 |
| 1474 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 2 }$, short base $b = \frac{ 91 }{ 8 }$ and height $h = 16$. | 3 |
| 1475 | Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = \frac{ 39 }{ 2 }$ and height $h = 10$. | 3 |
| 1476 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = \frac{ 43 }{ 8 }$ and height $h = \frac{ 3 }{ 2 }$. | 3 |
| 1477 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 24 }{ 5 }$, height $h = \frac{ 2 }{ 5 }$ and angle $\alpha = 59^o$. | 3 |
| 1478 | Find the long base $ a $ of a trapezoid if long base $a = 8$, height $h = 6$ and area $A = 39$. | 3 |
| 1479 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 172 }{ 25 }$, short base $b = \frac{ 28 }{ 5 }$ and side $c = \frac{ 35 }{ 4 }$. | 3 |
| 1480 | Find the long base $ a $ of a trapezoid if side $c = 9$, diagonal $d = 15$ and height $h = \frac{ 15 }{ 2 }$. | 3 |
| 1481 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5701 }{ 100 }$, short base $b = \frac{ 1139 }{ 20 }$ and height $h = \frac{ 4873 }{ 20 }$. | 3 |
| 1482 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 5$ and angle $\alpha = 60^o$. | 3 |
| 1483 | Find the long base $ a $ of a trapezoid if long base $a = 510$, short base $b = 440$ and side $c = 510$. | 3 |
| 1484 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 4$, side $c = 4$ and height $h = \frac{ 173 }{ 50 }$. | 3 |
| 1485 | Find the area $ A $ of a trapezoid if long base $a = 26$, short base $b = 13$ and side $c = 11$. | 3 |
| 1486 | Find the long base $ a $ of a trapezoid if long base $a = 65$, short base $b = 45$ and height $h = 16$. | 3 |
| 1487 | Find the long base $ a $ of a trapezoid if angle $\alpha = 50^o$. | 3 |
| 1488 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 7$ and side $c = 5$. | 3 |
| 1489 | Find the of a trapezoid if long base $a = \frac{ 5107 }{ 100 }$, short base $b = \frac{ 1017 }{ 20 }$ and height $h = \frac{ 9591 }{ 50 }$. | 3 |
| 1490 | Find the of a trapezoid if long base $a = \frac{ 5107 }{ 100 }$, height $h = \frac{ 9591 }{ 50 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 3 |
| 1491 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 5701 }{ 100 }$, height $h = \frac{ 9591 }{ 50 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 3 |
| 1492 | Find the long base $ a $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
| 1493 | Find the height $ h $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
| 1494 | Find the short base $ b $ of a trapezoid if long base $a = 1$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1495 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 8$ and side $c = 8$. | 3 |
| 1496 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
| 1497 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
| 1498 | Find the area $ A $ of a trapezoid if long base $a = 145$, short base $b = 75$ and height $h = 120$. | 3 |
| 1499 | Find the median $ m $ of a trapezoid if long base $a = 19$ and short base $b = 9$. | 3 |
| 1500 | Find the long base $ a $ of a trapezoid if short base $b = 1$, area $A = 3$ and angle $\beta = 120^o$. | 3 |
