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 height $ h $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
| 1602 | Find the short base $ b $ of a trapezoid if long base $a = 1$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1603 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 8$ and side $c = 8$. | 3 |
| 1604 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
| 1605 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
| 1606 | Find the area $ A $ of a trapezoid if long base $a = 145$, short base $b = 75$ and height $h = 120$. | 3 |
| 1607 | Find the median $ m $ of a trapezoid if long base $a = 19$ and short base $b = 9$. | 3 |
| 1608 | Find the long base $ a $ of a trapezoid if short base $b = 1$, area $A = 3$ and angle $\beta = 120^o$. | 3 |
| 1609 | Find the long base $ a $ of a trapezoid if long base $a = 89$, short base $b = 60$ and side $c = 153$. | 3 |
| 1610 | Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 15$ and side $c = 120$. | 3 |
| 1611 | Find the side $ c $ of a trapezoid if long base $a = 12$, short base $b = 3$ and height $h = 15$. | 3 |
| 1612 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 137 }{ 4 }$, side $c = \frac{ 435 }{ 4 }$, height $h = \frac{ 435 }{ 4 }$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 161 }{ 2 }^o$. | 3 |
| 1613 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 21 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1614 | Find the diagonal $ d $ of a trapezoid if long base $a = 45$, short base $b = 38$ and height $h = 33$. | 3 |
| 1615 | Find the long base $ a $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1616 | Find the short base $ b $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1617 | Find the short base $ b $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
| 1618 | Find the height $ h $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
| 1619 | Find the short base $ b $ of a trapezoid if long base $a = 6$, side $c = \frac{ 141 }{ 100 }$, diagonal $d = \frac{ 123269 }{ 20000 }$, height $h = 1$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 3 |
| 1620 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 2 }$, short base $b = \frac{ 21 }{ 2 }$ and angle $\beta = 135^o$. | 3 |
| 1621 | Find the short base $ b $ of a trapezoid if long base $a = 1892$, height $h = 650$, median $m = 1536$ and angle $\alpha = 61^o$. | 3 |
| 1622 | 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 |
| 1623 | Find the median $ m $ of a trapezoid if diagonal $d = 25$ and height $h = 15$. | 3 |
| 1624 | 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 |
| 1625 | 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 |
| 1626 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and diagonal $d = 2 \sqrt{ 6 }$. | 3 |
| 1627 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and height $h = \sqrt{ 8 }$. | 3 |
| 1628 | Find the short base $ b $ of a trapezoid if long base $a = 30$, side $c = 10$ and angle $\alpha = 60^o$. | 3 |
| 1629 | 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 |
| 1630 | Find the long base $ a $ of a trapezoid if long base $a = 30$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
| 1631 | Find the area $ A $ of a trapezoid if long base $a = 40$, short base $b = 20$ and height $h = 5 \sqrt{ 3 }$. | 3 |
| 1632 | Find the long base $ a $ of a trapezoid if short base $b = 53$, side $c = 48$ and diagonal $d = 76$. | 3 |
| 1633 | Find the area $ A $ of a trapezoid if long base $a = \sqrt{ 50 }$, side $c = 5$ and diagonal $d = \sqrt{ 75 }$. | 3 |
| 1634 | 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 |
| 1635 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = 12$ and angle $\alpha = 90^o$. | 3 |
| 1636 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = 2$ and side $c = 2$. | 3 |
| 1637 | Find the short base $ b $ of a trapezoid if long base $a = 300$, height $h = 370$ and angle $\alpha = 80^o$. | 3 |
| 1638 | 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 |
| 1639 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 16$ and height $h = 12$. | 3 |
| 1640 | Find the diagonal $ d $ of a trapezoid if long base $a = 30$, short base $b = 15$, side $c = 20$ and diagonal $d = 20$. | 3 |
| 1641 | 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 |
| 1642 | Find the short base $ b $ of a trapezoid if long base $a = 15$, height $h = 1$ and angle $\alpha = 45^o$. | 3 |
| 1643 | 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 |
| 1644 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 10$, side $c = 13$ and height $h = 12$. | 3 |
| 1645 | Find the diagonal $ d $ of a trapezoid if long base $a = 42$, short base $b = 10$ and angle $\alpha = 60^o$. | 3 |
| 1646 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 3 }{ 8 }$, short base $b = \frac{ 6 }{ 125 }$ and angle $\beta = 50^o$. | 3 |
| 1647 | Find the area $ A $ of a trapezoid if long base $a = 2$, short base $b = 1$ and height $h = 4$. | 3 |
| 1648 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 1 }{ 25 }$, short base $b = \frac{ 27 }{ 1000 }$ and height $h = \frac{ 247 }{ 1000 }$. | 3 |
| 1649 | Find the long base $ a $ of a trapezoid if long base $a = 1704$, short base $b = 1872$, side $c = 470$ and height $h = 470$. | 3 |
| 1650 | Find the long base $ a $ of a trapezoid if long base $a = 4$, short base $b = 2$ and height $h = 3$. | 3 |
