Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1501 | Find the long base $ a $ of a trapezoid if long base $a = 89$, short base $b = 60$ and side $c = 153$. | 3 |
| 1502 | Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 15$ and side $c = 120$. | 3 |
| 1503 | Find the side $ c $ of a trapezoid if long base $a = 12$, short base $b = 3$ and height $h = 15$. | 3 |
| 1504 | 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 |
| 1505 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 21 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1506 | Find the diagonal $ d $ of a trapezoid if long base $a = 45$, short base $b = 38$ and height $h = 33$. | 3 |
| 1507 | Find the long base $ a $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1508 | Find the short base $ b $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1509 | Find the short base $ b $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
| 1510 | Find the height $ h $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
| 1511 | 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 |
| 1512 | 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 |
| 1513 | 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 |
| 1514 | 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 |
| 1515 | Find the median $ m $ of a trapezoid if diagonal $d = 25$ and height $h = 15$. | 3 |
| 1516 | 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 |
| 1517 | 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 |
| 1518 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and diagonal $d = 2 \sqrt{ 6 }$. | 3 |
| 1519 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and height $h = \sqrt{ 8 }$. | 3 |
| 1520 | Find the short base $ b $ of a trapezoid if long base $a = 30$, side $c = 10$ and angle $\alpha = 60^o$. | 3 |
| 1521 | 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 |
| 1522 | Find the long base $ a $ of a trapezoid if long base $a = 30$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
| 1523 | Find the area $ A $ of a trapezoid if long base $a = 40$, short base $b = 20$ and height $h = 5 \sqrt{ 3 }$. | 3 |
| 1524 | Find the long base $ a $ of a trapezoid if short base $b = 53$, side $c = 48$ and diagonal $d = 76$. | 3 |
| 1525 | Find the area $ A $ of a trapezoid if long base $a = \sqrt{ 50 }$, side $c = 5$ and diagonal $d = \sqrt{ 75 }$. | 3 |
| 1526 | 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 |
| 1527 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = 12$ and angle $\alpha = 90^o$. | 3 |
| 1528 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = 2$ and side $c = 2$. | 3 |
| 1529 | Find the short base $ b $ of a trapezoid if long base $a = 300$, height $h = 370$ and angle $\alpha = 80^o$. | 3 |
| 1530 | 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 |
| 1531 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 16$ and height $h = 12$. | 3 |
| 1532 | Find the diagonal $ d $ of a trapezoid if long base $a = 30$, short base $b = 15$, side $c = 20$ and diagonal $d = 20$. | 3 |
| 1533 | 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 |
| 1534 | Find the short base $ b $ of a trapezoid if long base $a = 15$, height $h = 1$ and angle $\alpha = 45^o$. | 3 |
| 1535 | 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 |
| 1536 | 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 |
| 1537 | Find the diagonal $ d $ of a trapezoid if long base $a = 42$, short base $b = 10$ and angle $\alpha = 60^o$. | 3 |
| 1538 | 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 |
| 1539 | Find the area $ A $ of a trapezoid if long base $a = 2$, short base $b = 1$ and height $h = 4$. | 3 |
| 1540 | 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 |
| 1541 | 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 |
| 1542 | Find the long base $ a $ of a trapezoid if long base $a = 4$, short base $b = 2$ and height $h = 3$. | 3 |
| 1543 | Find the area $ A $ of a trapezoid if long base $a = 4$, short base $b = 2$ and height $h = 3$. | 3 |
| 1544 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = \frac{ 7 }{ 4 }$, side $c = 2$ and height $h = 2$. | 3 |
| 1545 | Find the long base $ a $ of a trapezoid if long base $a = 9$, short base $b = 8$ and side $c = 6$. | 3 |
| 1546 | Find the long base $ a $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = \frac{ 1517 }{ 25 }$. | 3 |
| 1547 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = \frac{ 517 }{ 25 }$. | 3 |
| 1548 | Find the long base $ a $ of a trapezoid if angle $\alpha = 72^o$. | 3 |
| 1549 | Find the long base $ a $ of a trapezoid if short base $b = 8$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 166^o$. | 3 |
| 1550 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 76 }{ 5 }$, short base $b = 8$ and height $h = \frac{ 13 }{ 10 }$. | 3 |
