Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3601 | Find the height $ h $ of a trapezoid if long base $a = 1$, short base $b = 789$, area $A = \frac{ 327 }{ 1000 }$ and angle $\alpha = 74^o$. | 2 |
| 3602 | Find the height $ h $ of a trapezoid if long base $a = 1$, short base $b = 789$ and area $A = \frac{ 327 }{ 1000 }$. | 2 |
| 3603 | Find the height $ h $ of a trapezoid if long base $a = 1$, area $A = \frac{ 327 }{ 1000 }$ and angle $\beta = 74^o$. | 2 |
| 3604 | Find the short base $ b $ of a trapezoid if long base $a = 24$ and median $m = 18$. | 2 |
| 3605 | Find the long base $ a $ of a trapezoid if short base $b = 70$, height $h = 4$, angle $\alpha = 37^o$ and angle $\beta = 143^o$. | 2 |
| 3606 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 2 |
| 3607 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 2 |
| 3608 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 2 |
| 3609 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 2 |
| 3610 | Find the long base $ a $ of a trapezoid if short base $b = 1$ and area $A = 3$. | 2 |
| 3611 | Find the of a trapezoid if long base $a = \frac{ 112 }{ 25 }$, short base $b = \frac{ 89 }{ 25 }$ and height $h = \frac{ 5 }{ 2 }$. | 2 |
| 3612 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 10$, side $c = 4$ and angle $\alpha = 55^o$. | 2 |
| 3613 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 10$, side $c = 4$ and angle $\alpha = 55^o$. | 2 |
| 3614 | Find the of a trapezoid if long base $a = \frac{ 36087 }{ 1000 }$, short base $b = \frac{ 32391 }{ 1000 }$ and side $c = \frac{ 21 }{ 2 }$. | 2 |
| 3615 | Find the short base $ b $ of a trapezoid if long base $a = 2$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 2 |
| 3616 | Find the long base $ a $ of a trapezoid if long base $a = 14$, short base $b = 4$ and side $c = 13$. | 2 |
| 3617 | Find the long base $ a $ of a trapezoid if short base $b = 19$, height $h = 2$ and angle $\alpha = 46^o$. | 2 |
| 3618 | Find the angle $ \beta $ of a trapezoid if long base $a = 48$, short base $b = 22$ and height $h = 18$. | 2 |
| 3619 | Find the of a trapezoid if long base $a = 48$, short base $b = 22$ and height $h = 18$. | 2 |
| 3620 | Find the long base $ a $ of a trapezoid if long base $a = 4$, height $h = \frac{ 7 }{ 4 }$ and angle $\beta = \frac{ 45 }{ 2 }^o$. | 2 |
| 3621 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 137 }{ 2 }$, side $c = 30$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 3622 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 137 }{ 2 }$, side $c = 30$ and angle $\alpha = 30^o$. | 2 |
| 3623 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 89 }{ 10 }$, side $c = \frac{ 551 }{ 25 }$, height $h = 22$, angle $\alpha = \frac{ 173 }{ 2 }^o$ and angle $\beta = \frac{ 187 }{ 2 }^o$. | 2 |
| 3624 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 89 }{ 10 }$, side $c = \frac{ 551 }{ 25 }$, height $h = 22$ and angle $\alpha = \frac{ 173 }{ 2 }^o$. | 2 |
| 3625 | Find the side $ c $ of a trapezoid if diagonal $d = 5$ and height $h = 3$. | 2 |
| 3626 | Find the side $ c $ of a trapezoid if long base $a = 40$, short base $b = 14$ and height $h = 39$. | 2 |
| 3627 | Find the long base $ a $ of a trapezoid if median $m = 92$. | 2 |
| 3628 | Find the long base $ a $ of a trapezoid if long base $a = 28$, short base $b = 12$ and side $c = 17$. | 2 |
| 3629 | Find the area $ A $ of a trapezoid if long base $a = 28$, short base $b = 12$ and side $c = 17$. | 2 |
| 3630 | Find the diagonal $ d $ of a trapezoid if long base $a = 28$, short base $b = 12$ and side $c = 17$. | 2 |
| 3631 | Find the long base $ a $ of a trapezoid if short base $b = 15$, side $c = 120$ and height $h = 115$. | 2 |
| 3632 | Find the long base $ a $ of a trapezoid if short base $b = 15$ and side $c = 120$. | 2 |
| 3633 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 3$ and height $h = 15$. | 2 |
| 3634 | Find the of a trapezoid if long base $a = 12$, short base $b = 3$ and height $h = 15$. | 2 |
| 3635 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 37 }{ 10 }$ and side $c = 2$. | 2 |
| 3636 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 56 }{ 5 }$, side $c = \frac{ 23 }{ 5 }$ and angle $\alpha = 30^o$. | 2 |
| 3637 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 56 }{ 5 }$, side $c = \frac{ 23 }{ 5 }$ and angle $\alpha = 17^o$. | 2 |
| 3638 | Find the long base $ a $ of a trapezoid if long base $a = 14$, short base $b = 2$ and height $h = \frac{ 3 }{ 2 }$. | 2 |
| 3639 | Find the long base $ a $ of a trapezoid if long base $a = 80$, short base $b = 29$ and side $c = 72$. | 2 |
| 3640 | Find the long base $ a $ of a trapezoid if short base $b = 3$, diagonal $d = 2$ and angle $\alpha = 120^o$. | 2 |
| 3641 | Find the long base $ a $ of a trapezoid if short base $b = 3$, diagonal $d = 2$ and angle $\beta = 120^o$. | 2 |
| 3642 | Find the long base $ a $ of a trapezoid if long base $a = 56$ and side $c = 17$. | 2 |
| 3643 | Find the short base $ b $ of a trapezoid if side $c = \frac{ 435 }{ 4 }$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 161 }{ 2 }^o$. | 2 |
| 3644 | Find the short base $ b $ of a trapezoid if long base $a = 45$, side $c = 2$ and median $m = 25$. | 2 |
| 3645 | Find the long base $ a $ of a trapezoid if long base $a = 12$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3646 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = \frac{ 21 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3647 | Find the short base $ b $ of a trapezoid if long base $a = 40$, side $c = 25$ and diagonal $d = 25$. | 2 |
| 3648 | Find the short base $ b $ of a trapezoid if long base $a = 12$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3649 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 21 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3650 | Find the long base $ a $ of a trapezoid if long base $a = 12$, side $c = 7.4246$ and angle $\alpha = 45^o$. | 2 |
