Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1551 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1552 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and area $A = 3\, \text{m}^2$. | 3 |
| 1553 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 3 |
| 1554 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, angle $\alpha = 146^o$ and angle $\beta = 34^o$. | 3 |
| 1555 | Find the long base $ a $ of a trapezoid if long base $a = 11.4\, \text{cm}$, short base $b = 6.4\, \text{cm}$, diagonal $d = 10.9\, \text{mm}$ and angle $\alpha = 45^o$. | 3 |
| 1556 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 6\, \text{in}$. | 3 |
| 1557 | Find the side $ c $ of a trapezoid if long base $a = 1100\, \text{mm}$, short base $b = 290\, \text{mm}$ and height $h = 450\, \text{mm}$. | 3 |
| 1558 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{cm}$, side $c = 7\, \text{cm}$ and diagonal $d = 21\, \text{cm}$. | 3 |
| 1559 | Find the long base $ a $ of a trapezoid if long base $a = 961\, \text{ft}$, short base $b = 483\, \text{cm}$ and side $c = 420\, \text{cm}$. | 3 |
| 1560 | Find the side $ c $ of a trapezoid if long base $a = 8.5\, \text{mm}$ and short base $b = 6.5\, \text{mm}$. | 3 |
| 1561 | Find the side $ c $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 6.5\, \text{mm}$ and height $h = 350\, \text{mm}$. | 3 |
| 1562 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 3 |
| 1563 | Find the angle $ \beta $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 3 |
| 1564 | Find the long base $ a $ of a trapezoid if long base $a = 16.25\, \text{mm}$, short base $b = 19\, \text{cm}$ and height $h = 17.5\, \text{cm}$. | 3 |
| 1565 | Find the short base $ b $ of a trapezoid if side $c = 7$, diagonal $d = \frac{ 206799 }{ 10000 }$ and angle $\alpha = 70^o$. | 3 |
| 1566 | Find the long base $ a $ of a trapezoid if long base $a = 25$ and height $h = 16$. | 3 |
| 1567 | 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 |
| 1568 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 56$ and height $h = 39$. | 3 |
| 1569 | Find the of a trapezoid if long base $a = 350$, short base $b = 250$ and height $h = 1000$. | 3 |
| 1570 | 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 |
| 1571 | 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 |
| 1572 | 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 |
| 1573 | Find the angle $ \beta $ of a trapezoid if long base $a = 38$, side $c = \frac{ 65 }{ 2 }$ and height $h = 30$. | 3 |
| 1574 | Find the short base $ b $ of a trapezoid if long base $a = 23$, height $h = 8$ and area $A = 160$. | 3 |
| 1575 | Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 12$ and side $c = 24$. | 3 |
| 1576 | Find the short base $ b $ of a trapezoid if short base $b = 7$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 92^o$. | 3 |
| 1577 | Find the side $ c $ of a trapezoid if long base $a = 2000$, short base $b = 500$ and height $h = 2000$. | 3 |
| 1578 | Find the long base $ a $ of a trapezoid if long base $a = 48$, short base $b = 42$ and area $A = 225$. | 3 |
| 1579 | 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 |
| 1580 | Find the area $ A $ of a trapezoid if long base $a = 20$, side $c = 12$ and diagonal $d = 16$. | 3 |
| 1581 | 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 |
| 1582 | Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = \frac{ 39 }{ 2 }$ and height $h = 10$. | 3 |
| 1583 | 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 |
| 1584 | 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 |
| 1585 | Find the long base $ a $ of a trapezoid if long base $a = 8$, height $h = 6$ and area $A = 39$. | 3 |
| 1586 | 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 |
| 1587 | Find the long base $ a $ of a trapezoid if side $c = 9$, diagonal $d = 15$ and height $h = \frac{ 15 }{ 2 }$. | 3 |
| 1588 | 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 |
| 1589 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 5$ and angle $\alpha = 60^o$. | 3 |
| 1590 | Find the long base $ a $ of a trapezoid if long base $a = 510$, short base $b = 440$ and side $c = 510$. | 3 |
| 1591 | 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 |
| 1592 | Find the area $ A $ of a trapezoid if long base $a = 26$, short base $b = 13$ and side $c = 11$. | 3 |
| 1593 | Find the long base $ a $ of a trapezoid if long base $a = 65$, short base $b = 45$ and height $h = 16$. | 3 |
| 1594 | Find the long base $ a $ of a trapezoid if angle $\alpha = 50^o$. | 3 |
| 1595 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 7$ and side $c = 5$. | 3 |
| 1596 | 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 |
| 1597 | 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 |
| 1598 | 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 |
| 1599 | Find the long base $ a $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
| 1600 | Find the height $ h $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
