Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4601 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\beta = 105^o$. | 2 |
| 4602 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\alpha = 75^o$. | 2 |
| 4603 | Find the median $ m $ of a trapezoid if long base $a = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\alpha = 75^o$. | 2 |
| 4604 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\alpha = 75^o$. | 2 |
| 4605 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 6$ and diagonal $d = 4$. | 2 |
| 4606 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 6$ and height $h = 4$. | 2 |
| 4607 | Find the long base $ a $ of a trapezoid if short base $b = 18$ and height $h = 6$. | 2 |
| 4608 | Find the long base $ a $ of a trapezoid if short base $b = 18$, height $h = 6$ and angle $\alpha = 60^o$. | 2 |
| 4609 | Find the side $ c $ of a trapezoid if short base $b = 18$, height $h = 6$ and angle $\alpha = 60^o$. | 2 |
| 4610 | Find the side $ c $ of a trapezoid if long base $a = 25$, short base $b = 18$ and height $h = 6$. | 2 |
| 4611 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 231 }{ 4 }$, short base $b = \frac{ 205 }{ 4 }$ and height $h = \frac{ 7 }{ 2 }$. | 2 |
| 4612 | Find the long base $ a $ of a trapezoid if short base $b = 4$, side $c = 8$ and angle $\alpha = 56^o$. | 2 |
| 4613 | Find the diagonal $ d $ of a trapezoid if long base $a = 108$, side $c = 144$, height $h = 144$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4614 | Find the side $ c $ of a trapezoid if long base $a = 108$, side $c = 144$, height $h = 144$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4615 | Find the side $ c $ of a trapezoid if side $c = 144$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4616 | Find the side $ c $ of a trapezoid if long base $a = 108$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4617 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 11 }{ 2 }$, short base $b = 4$ and height $h = 3$. | 2 |
| 4618 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 4$ and side $c = 5$. | 2 |
| 4619 | Find the area $ A $ of a trapezoid if long base $a = 10$, short base $b = 4$ and side $c = 5$. | 2 |
| 4620 | Find the of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = \frac{ 11 }{ 2 }$. | 2 |
| 4621 | Find the angle $ \beta $ of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = \frac{ 11 }{ 2 }$. | 2 |
| 4622 | Find the long base $ a $ of a trapezoid if short base $b = 16$ and side $c = 31$. | 2 |
| 4623 | Find the long base $ a $ of a trapezoid if short base $b = 16$, side $c = 31$ and angle $\beta = 80^o$. | 2 |
| 4624 | Find the long base $ a $ of a trapezoid if short base $b = 16$, side $c = 30$ and angle $\beta = 80^o$. | 2 |
| 4625 | Find the short base $ b $ of a trapezoid if long base $a = 1300\, \text{mm}$ and angle $\alpha = 76.075^o$. | 2 |
| 4626 | Find the short base $ b $ of a trapezoid if long base $a = 1400\, \text{mm}$, height $h = 725\, \text{mm}$ and angle $\alpha = 76.6075^o$. | 2 |
| 4627 | Find the short base $ b $ of a trapezoid if long base $a = 1400\, \text{mm}$, height $h = 725\, \text{mm}$, angle $\alpha = 76.075^o$ and angle $\beta = 76.075^o$. | 2 |
| 4628 | Find the long base $ a $ of a trapezoid if long base $a = 252\, \text{in}$, short base $b = 249.5\, \text{in}$ and side $c = 148.625\, \text{in}$. | 2 |
| 4629 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$ and short base $b = 15\, \text{mm}$. | 2 |
| 4630 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$, side $c = 2\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4631 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4632 | Find the short base $ b $ of a trapezoid if short base $b = 2\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4633 | Find the long base $ a $ of a trapezoid if height $h = 2\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4634 | Find the short base $ b $ of a trapezoid if long base $a = 4\, \text{in}$, height $h = 2\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4635 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 4636 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 3\, \text{mm}$, side $c = 5\, \text{mm}$ and angle $\alpha = 54^o$. | 2 |
| 4637 | Find the height $ h $ of a trapezoid if long base $a = 16.75\, \text{mm}$, short base $b = 8.5\, \text{mm}$ and side $c = 12\, \text{mm}$. | 2 |
| 4638 | Find the long base $ a $ of a trapezoid if short base $b = 72\, \text{in}$ and height $h = 18\, \text{in}$. | 2 |
| 4639 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{cm}$, side $c = 5\, \text{cm}$ and angle $\alpha = 60^o$. | 2 |
| 4640 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 3\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2\, \text{mm}$. | 2 |
| 4641 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, side $c = 10\, \text{cm}$ and area $A = 500\, \text{cm}^2$. | 2 |
| 4642 | Find the height $ h $ of a trapezoid if long base $a = 350\, \text{cm}$, short base $b = 125\, \text{mm}$ and side $c = 105\, \text{cm}$. | 2 |
| 4643 | Find the short base $ b $ of a trapezoid if long base $a = 350\, \text{cm}$, side $c = 105\, \text{cm}$ and height $h = 70\, \text{cm}$. | 2 |
| 4644 | Find the short base $ b $ of a trapezoid if long base $a = 350\, \text{cm}$, short base $b = 140\, \text{cm}$ and side $c = 105\, \text{cm}$. | 2 |
| 4645 | Find the short base $ b $ of a trapezoid if long base $a = 350\, \text{cm}$, side $c = 210\, \text{cm}$ and angle $\alpha = 30^o$. | 2 |
| 4646 | Find the height $ h $ of a trapezoid if long base $a = 300\, \text{cm}$, side $c = 105\, \text{cm}$ and angle $\alpha = 35^o$. | 2 |
| 4647 | Find the side $ c $ of a trapezoid if long base $a = 29\, \text{ft}$, short base $b = 6\, \text{ft}$ and height $h = 12.6\, \text{ft}$. | 2 |
| 4648 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 10\, \text{mm}$, diagonal $d = 14\, \text{mm}$, height $h = 5\, \text{mm}$, median $m = 5\, \text{mm}$, area $A = 14\, \text{mm}^2$, perimeter $P = 8\, \text{mm}$, angle $\alpha = 5^o$ and angle $\beta = 5^o$. | 2 |
| 4649 | Find the short base $ b $ of a trapezoid if long base $a = 300\, \text{cm}$, side $c = 105\, \text{cm}$ and height $h = 80\, \text{cm}$. | 2 |
| 4650 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 10\, \text{mm}$, diagonal $d = 14\, \text{mm}$, height $h = 5\, \text{mm}$, median $m = 5\, \text{mm}$, area $A = 8\, \text{mm}^2$, perimeter $P = 14\, \text{mm}$, angle $\alpha = 14^o$ and angle $\beta = 10^o$. | 2 |
