Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8701 | Find the height $ h $ of a trapezoid if long base $a = 1$, area $A = \frac{ 33 }{ 25 }$ and angle $\alpha = 85^o$. | 1 |
| 8702 | Find the side $ c $ of a trapezoid if long base $a = 6$, short base $b = 4$ and diagonal $d = 10$. | 1 |
| 8703 | Find the height $ h $ of a trapezoid if long base $a = 6$, short base $b = 4$ and diagonal $d = 10$. | 1 |
| 8704 | Find the side $ c $ of a trapezoid if long base $a = 64$ and short base $b = 36$. | 1 |
| 8705 | Find the height $ h $ of a trapezoid if side $c = 34$, perimeter $P = 114$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8706 | Find the height $ h $ of a trapezoid if side $c = 43$ and perimeter $P = 114$. | 1 |
| 8707 | Find the height $ h $ of a trapezoid if side $c = 43$, perimeter $P = 114$ and angle $\beta = 90^o$. | 1 |
| 8708 | Find the of a trapezoid if long base $a = 36$, side $c = 18$ and height $h = 14$. | 1 |
| 8709 | Find the of a trapezoid if long base $a = 36$, side $c = 16$ and height $h = 12$. | 1 |
| 8710 | Find the long base $ a $ of a trapezoid if short base $b = 64$ and median $m = 80$. | 1 |
| 8711 | Find the median $ m $ of a trapezoid if long base $a = 67$ and short base $b = 41$. | 1 |
| 8712 | Find the of a trapezoid if long base $a = 36$, side $c = 14$ and height $h = 13$. | 1 |
| 8713 | Find the long base $ a $ of a trapezoid if short base $b = 15$ and median $m = 23$. | 1 |
| 8714 | Find the median $ m $ of a trapezoid if long base $a = 39$ and short base $b = 15$. | 1 |
| 8715 | Find the perimeter $ P $ of a trapezoid if long base $a = 6$, short base $b = 8$ and side $c = 3$. | 1 |
| 8716 | Find the long base $ a $ of a trapezoid if short base $b = 24$ and side $c = \frac{ 145 }{ 4 }$. | 1 |
| 8717 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 12$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8718 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1463 }{ 20 }$, short base $b = \frac{ 34417 }{ 1000 }$ and side $c = \frac{ 83881 }{ 2500 }$. | 1 |
| 8719 | Find the long base $ a $ of a trapezoid if long base $a = 21$, short base $b = 9$ and height $h = 8$. | 1 |
| 8720 | Find the perimeter $ P $ of a trapezoid if long base $a = 28$, short base $b = 14$ and height $h = 7$. | 1 |
| 8721 | Find the long base $ a $ of a trapezoid if long base $a = 44$, short base $b = 32$, side $c = 37$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8722 | Find the area $ A $ of a trapezoid if long base $a = 44$, short base $b = 32$, side $c = 37$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8723 | Find the area $ A $ of a trapezoid if long base $a = 44$, short base $b = 32$, side $c = 37$ and angle $\alpha = 90^o$. | 1 |
| 8724 | Find the area $ A $ of a trapezoid if long base $a = 44$, short base $b = 32$ and side $c = 37$. | 1 |
| 8725 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 3$ and side $c = 5$. | 1 |
| 8726 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 24 }{ 5 }$, short base $b = \frac{ 12 }{ 5 }$ and height $h = 2$. | 1 |
| 8727 | Find the of a trapezoid if long base $a = \frac{ 24 }{ 5 }$, height $h = \frac{ 2 }{ 5 }$ and angle $\alpha = \frac{ 1476 }{ 25 }^o$. | 1 |
| 8728 | Find the short base $ b $ of a trapezoid if long base $a = 96$, height $h = 48$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8729 | Find the side $ c $ of a trapezoid if short base $b = \frac{ 131 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8730 | Find the side $ c $ of a trapezoid if long base $a = 96$, short base $b = \frac{ 131 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8731 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 131 }{ 2 }$, short base $b = 120$ and angle $\alpha = 45^o$. | 1 |
| 8732 | Find the side $ c $ of a trapezoid if long base $a = 120$, short base $b = \frac{ 131 }{ 2 }$ and angle $\beta = 135^o$. | 1 |
| 8733 | Find the short base $ b $ of a trapezoid if long base $a = 5$ and median $m = 4$. | 1 |
| 8734 | Find the median $ m $ of a trapezoid if long base $a = 38$ and short base $b = 22$. | 1 |
| 8735 | Find the long base $ a $ of a trapezoid if short base $b = 14$ and median $m = 20$. | 1 |
| 8736 | Find the short base $ b $ of a trapezoid if long base $a = 64$ and median $m = 49$. | 1 |
| 8737 | Find the long base $ a $ of a trapezoid if short base $b = 13$ and median $m = 22$. | 1 |
| 8738 | Find the of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = 2$ and height $h = \frac{ 19 }{ 5 }$. | 1 |
| 8739 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = 2$ and height $h = \frac{ 19 }{ 5 }$. | 1 |
| 8740 | Find the long base $ a $ of a trapezoid if long base $a = 52$, short base $b = 39$ and height $h = \frac{ 231 }{ 50 }$. | 1 |
| 8741 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 17 }{ 25 }$, short base $b = \frac{ 3 }{ 5 }$, side $c = \frac{ 17 }{ 100 }$ and angle $\alpha = 47^o$. | 1 |
| 8742 | Find the long base $ a $ of a trapezoid if long base $a = 7$, short base $b = 1$ and side $c = 4$. | 1 |
| 8743 | Find the area $ A $ of a trapezoid if long base $a = 10$, short base $b = 7$ and side $c = 4$. | 1 |
| 8744 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1647 }{ 5000 }$, height $h = \frac{ 617 }{ 2000 }$ and angle $\beta = 71^o$. | 1 |
| 8745 | Find the of a trapezoid if long base $a = 3$, short base $b = \frac{ 133 }{ 50 }$ and side $c = \frac{ 3 }{ 4 }$. | 1 |
| 8746 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 24$, height $h = 24$ and angle $\alpha = 30^o$. | 1 |
| 8747 | Find the angle $ \beta $ of a trapezoid if long base $a = 30$, short base $b = 24$ and height $h = 24$. | 1 |
| 8748 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 48571 }{ 10000 }$, short base $b = \frac{ 18541 }{ 10000 }$, side $c = \frac{ 4719 }{ 1250 }$ and diagonal $d = \frac{ 4719 }{ 1250 }$. | 1 |
| 8749 | Find the long base $ a $ of a trapezoid if short base $b = 19$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 8750 | Find the long base $ a $ of a trapezoid if short base $b = 19$, side $c = 5$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |