Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5751 | Find the long base $ a $ of a trapezoid if short base $b = 40$, side $c = \frac{ 7 }{ 2 }$, height $h = \frac{ 7 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 5752 | Find the long base $ a $ of a trapezoid if short base $b = 40$, height $h = \frac{ 7 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 5753 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 10$ and median $m = 15$. | 2 |
| 5754 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$ and median $m = 15$. | 2 |
| 5755 | Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = 10$ and median $m = 15$. | 2 |
| 5756 | Find the side $ c $ of a trapezoid if short base $b = \frac{ 5243 }{ 10 }$, angle $\alpha = 105^o$ and angle $\beta = 75^o$. | 2 |
| 5757 | Find the side $ c $ of a trapezoid if short base $b = 535$, height $h = 528$, angle $\alpha = 106^o$ and angle $\beta = 74^o$. | 2 |
| 5758 | Find the of a trapezoid if long base $a = 200$, short base $b = 120$ and side $c = 220$. | 2 |
| 5759 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 120$ and side $c = 220$. | 2 |
| 5760 | Find the long base $ a $ of a trapezoid if short base $b = 8$ and side $c = 9$. | 2 |
| 5761 | Find the side $ c $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 1 }{ 10 }$ and median $m = \frac{ 3 }{ 2 }$. | 2 |
| 5762 | Find the side $ c $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 1 }{ 4 }$ and height $h = 3$. | 2 |
| 5763 | Find the long base $ a $ of a trapezoid if short base $b = 10$, side $c = 10$ and angle $\alpha = 110^o$. | 2 |
| 5764 | Find the long base $ a $ of a trapezoid if side $c = 16$, height $h = 16$, median $m = \frac{ 17 }{ 2 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5765 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 17 }{ 2 }$, height $h = 8$ and angle $\alpha = 90^o$. | 2 |
| 5766 | Find the short base $ b $ of a trapezoid if long base $a = 335$, height $h = \frac{ 19 }{ 25 }$, angle $\alpha = \frac{ 77631 }{ 1000 }^o$ and angle $\beta = \frac{ 102269 }{ 1000 }^o$. | 2 |
| 5767 | Find the short base $ b $ of a trapezoid if long base $a = 335$, height $h = \frac{ 19 }{ 25 }$, angle $\alpha = \frac{ 443713 }{ 5000 }^o$ and angle $\beta = \frac{ 481287 }{ 5000 }^o$. | 2 |
| 5768 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 67 }{ 20 }$, short base $b = \frac{ 47 }{ 20 }$ and height $h = \frac{ 114 }{ 25 }$. | 2 |
| 5769 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 67 }{ 20 }$, short base $b = \frac{ 47 }{ 20 }$ and height $h = \frac{ 114 }{ 25 }$. | 2 |
| 5770 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 67 }{ 20 }$, height $h = \frac{ 19 }{ 25 }$, angle $\alpha = \frac{ 418713 }{ 5000 }^o$ and angle $\beta = \frac{ 481287 }{ 5000 }^o$. | 2 |
| 5771 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 67 }{ 20 }$, side $c = 0.8615$ and height $h = \frac{ 19 }{ 25 }$. | 2 |
| 5772 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 67 }{ 20 }$, side $c = 0.8615$, height $h = \frac{ 19 }{ 25 }$, angle $\alpha = \frac{ 418713 }{ 5000 }^o$ and angle $\beta = \frac{ 481287 }{ 5000 }^o$. | 2 |
| 5773 | Find the area $ A $ of a trapezoid if long base $a = 44$, short base $b = 28$ and side $c = 17$. | 2 |
| 5774 | Find the long base $ a $ of a trapezoid if long base $a = 1160$, height $h = 1700$ and angle $\alpha = 42^o$. | 2 |
| 5775 | Find the long base $ a $ of a trapezoid if long base $a = 1$, area $A = \frac{ 33 }{ 25 }$ and angle $\alpha = 85^o$. | 2 |
| 5776 | Find the short base $ b $ of a trapezoid if long base $a = 1$, area $A = \frac{ 33 }{ 25 }$ and angle $\alpha = 85^o$. | 2 |
| 5777 | Find the side $ c $ of a trapezoid if long base $a = 1$, area $A = \frac{ 33 }{ 25 }$ and angle $\alpha = 85^o$. | 2 |
| 5778 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7797 }{ 250 }$, angle $\alpha = 120^o$ and angle $\beta = 120^o$. | 2 |
| 5779 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7797 }{ 250 }$, angle $\alpha = 120^o$ and angle $\beta = 120^o$. | 2 |
| 5780 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7797 }{ 250 }$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5781 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 4$ and diagonal $d = 10$. | 2 |
| 5782 | Find the height $ h $ of a trapezoid if side $c = 34$, perimeter $P = 114$ and angle $\alpha = 90^o$. | 2 |
| 5783 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 20$, side $c = 14$ and height $h = 12$. | 2 |
| 5784 | Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 14$ and height $h = 12$. | 2 |
| 5785 | Find the of a trapezoid if long base $a = 36$, short base $b = 20$, side $c = 14$ and height $h = 12$. | 2 |
| 5786 | Find the of a trapezoid if long base $a = 36$, side $c = 14$ and height $h = 12$. | 2 |
| 5787 | Find the of a trapezoid if long base $a = 36$, side $c = 18$ and height $h = 12$. | 2 |
| 5788 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = \frac{ 87 }{ 2 }$, height $h = \frac{ 87 }{ 2 }$ and angle $\alpha = 90^o$. | 2 |
| 5789 | Find the short base $ b $ of a trapezoid if long base $a = 21$ and median $m = 17$. | 2 |
| 5790 | Find the long base $ a $ of a trapezoid if long base $a = 5$ and median $m = 3$. | 2 |
| 5791 | Find the median $ m $ of a trapezoid if long base $a = 88$ and short base $b = 58$. | 2 |
| 5792 | Find the long base $ a $ of a trapezoid if short base $b = 61$ and median $m = 76$. | 2 |
| 5793 | Find the side $ c $ of a trapezoid if short base $b = 61$ and median $m = 76$. | 2 |
| 5794 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1463 }{ 20 }$, short base $b = \frac{ 34417 }{ 1000 }$ and angle $\beta = 30^o$. | 2 |
| 5795 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1463 }{ 20 }$, short base $b = 34$ and side $c = \frac{ 83881 }{ 2500 }$. | 2 |
| 5796 | Find the area $ A $ of a trapezoid if long base $a = 21$, short base $b = 9$ and height $h = 8$. | 2 |
| 5797 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 4$ and diagonal $d = \frac{ 257 }{ 50 }$. | 2 |
| 5798 | Find the of a trapezoid if long base $a = \frac{ 24 }{ 5 }$, short base $b = \frac{ 12 }{ 5 }$ and height $h = 2$. | 2 |
| 5799 | Find the short base $ b $ of a trapezoid if long base $a = 96$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5800 | Find the area $ A $ of a trapezoid if long base $a = 96$, height $h = 48$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
