Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1601 | Find the long base $ a $ of a trapezoid if long base $a = 3$, height $h = \frac{ 7 }{ 2 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1602 | Find the long base $ a $ of a trapezoid if long base $a = 3$, side $c = \frac{ 7 }{ 2 }$, height $h = \frac{ 7 }{ 2 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1603 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 9529 }{ 100 }$, short base $b = \frac{ 1504 }{ 25 }$ and side $c = 150$. | 3 |
| 1604 | Find the side $ c $ of a trapezoid if long base $a = 13$, short base $b = 8$ and side $c = 8$. | 3 |
| 1605 | Find the long base $ a $ of a trapezoid if long base $a = 350$, short base $b = 300$ and height $h = 220$. | 3 |
| 1606 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 95 }{ 4 }$, short base $b = \frac{ 85 }{ 4 }$ and height $h = \frac{ 135 }{ 4 }$. | 3 |
| 1607 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 97 }{ 2 }$, short base $b = \frac{ 119 }{ 4 }$, height $h = \frac{ 35 }{ 2 }$, angle $\alpha = 30^o$ and angle $\beta = 30^o$. | 3 |
| 1608 | Find the of a trapezoid if long base $a = \frac{ 36591 }{ 100 }$, short base $b = \frac{ 461 }{ 2 }$ and side $c = \frac{ 2087 }{ 10 }$. | 3 |
| 1609 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 162 }{ 5 }$, height $h = 10$ and angle $\alpha = 45^o$. | 3 |
| 1610 | Find the long base $ a $ of a trapezoid if long base $a = 38$, short base $b = \frac{ 29 }{ 4 }$ and side $c = 66$. | 3 |
| 1611 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = \frac{ 25 }{ 8 }$ and height $h = 10$. | 3 |
| 1612 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 9$ and angle $\alpha = 78^o$. | 3 |
| 1613 | Find the long base $ a $ of a trapezoid if long base $a = 210$, height $h = 60$ and angle $\alpha = 60^o$. | 3 |
| 1614 | Find the long base $ a $ of a trapezoid if long base $a = 60$, height $h = 27$ and angle $\alpha = 60^o$. | 3 |
| 1615 | Find the side $ c $ of a trapezoid if long base $a = 60$, height $h = 27$ and angle $\alpha = 60^o$. | 3 |
| 1616 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 10$ and height $h = 8$. | 3 |
| 1617 | Find the height $ h $ of a trapezoid if long base $a = 11$ and short base $b = \frac{ 13 }{ 2 }$. | 3 |
| 1618 | Find the side $ c $ of a trapezoid if long base $a = 127$, height $h = \frac{ 183 }{ 4 }$ and angle $\beta = 135^o$. | 3 |
| 1619 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 257 }{ 10 }$ and short base $b = 24$. | 3 |
| 1620 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 9 }{ 4 }$, short base $b = \frac{ 9 }{ 8 }$ and height $h = 34$. | 3 |
| 1621 | Find the of a trapezoid if long base $a = 2042$, short base $b = 1280$, height $h = 920$ and angle $\beta = \frac{ 225 }{ 2 }^o$. | 3 |
| 1622 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 81 }{ 10 }$, side $c = 4$ and angle $\alpha = 60^o$. | 3 |
| 1623 | Find the long base $ a $ of a trapezoid if long base $a = 63$, short base $b = 45$ and height $h = 22$. | 3 |
| 1624 | Find the area $ A $ of a trapezoid if long base $a = 32$, side $c = \frac{ 27 }{ 2 }$ and height $h = 11$. | 3 |
| 1625 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 36591 }{ 100 }$, short base $b = \frac{ 721 }{ 2 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1626 | Find the diagonal $ d $ of a trapezoid if long base $a = 22$, side $c = 8$ and angle $\alpha = 75^o$. | 3 |
| 1627 | Find the long base $ a $ of a trapezoid if long base $a = 600$, short base $b = 210$ and side $c = 1670$. | 3 |
| 1628 | Find the of a trapezoid if long base $a = 600$, short base $b = 210$ and side $c = 1670$. | 3 |
| 1629 | Find the long base $ a $ of a trapezoid if long base $a = 105$, short base $b = 60$ and height $h = 60$. | 3 |
| 1630 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = 2$ and height $h = \frac{ 31 }{ 10 }$. | 3 |
| 1631 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = \frac{ 19 }{ 10 }$ and side $c = \frac{ 27 }{ 10 }$. | 3 |
| 1632 | Find the of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = \frac{ 19 }{ 10 }$ and side $c = \frac{ 17 }{ 10 }$. | 3 |
| 1633 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, short base $b = \frac{ 19 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1634 | Find the long base $ a $ of a trapezoid if long base $a = 1160$, short base $b = 650$ and side $c = 420$. | 3 |
| 1635 | Find the long base $ a $ of a trapezoid if long base $a = 40$, short base $b = 30$ and height $h = 40$. | 3 |
| 1636 | Find the of a trapezoid if long base $a = 4$, short base $b = 2$ and side $c = 2$. | 3 |
| 1637 | Find the height $ h $ of a trapezoid if long base $a = 143$, short base $b = 123$ and angle $\alpha = \frac{ 1789 }{ 25 }^o$. | 3 |
| 1638 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 105 }{ 2 }$, side $c = \frac{ 43 }{ 4 }$, height $h = \frac{ 43 }{ 4 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1639 | Find the side $ c $ of a trapezoid if long base $a = 1620$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 3 |
| 1640 | Find the short base $ b $ of a trapezoid if long base $a = 200$, side $c = 150$ and angle $\alpha = 90^o$. | 3 |
| 1641 | Find the side $ c $ of a trapezoid if long base $a = 8$, short base $b = 10$ and height $h = 6$. | 3 |
| 1642 | Find the diagonal $ d $ of a trapezoid if long base $a = 75$, short base $b = 58$ and height $h = 25$. | 3 |
| 1643 | Find the diagonal $ d $ of a trapezoid if long base $a = 5$, short base $b = 2$ and side $c = 2$. | 3 |
| 1644 | Find the long base $ a $ of a trapezoid if short base $b = 5$, height $h = 12$ and angle $\beta = 5^o$. | 3 |
| 1645 | Find the side $ c $ of a trapezoid if long base $a = 80$, short base $b = 72$ and height $h = 22$. | 3 |
| 1646 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 32 }{ 5 }$ and angle $\alpha = 90^o$. | 3 |
| 1647 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 32 }{ 5 }$ and angle $\alpha = 90^o$. | 3 |
| 1648 | Find the angle $ \beta $ of a trapezoid if long base $a = 18$, short base $b = 12$ and height $h = 12$. | 3 |
| 1649 | Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 5$ and diagonal $d = \sqrt{ 75 }$. | 3 |
| 1650 | Find the short base $ b $ of a trapezoid if long base $a = 10$, diagonal $d = \frac{ 3977 }{ 250 }$ and height $h = \frac{ 99 }{ 8 }$. | 3 |