Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6701 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6702 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6703 | Find the height $ h $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6704 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, height $h = 9.9\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6705 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 3\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 10\, \text{in}$, height $h = 9\, \text{in}$, median $m = 9\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 45^o$. | 2 |
| 6706 | Find the angle $ \beta $ of a trapezoid if long base $a = 54\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 35.75\, \text{in}$. | 2 |
| 6707 | Find the area $ A $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = \frac{ 1 }{ 2 }\, \text{mm}$ and height $h = 1\, \text{mm}$. | 2 |
| 6708 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, side $c = 4\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 6709 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$ and short base $b = 1\, \text{mm}$. | 2 |
| 6710 | Find the angle $ \beta $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 6711 | Find the height $ h $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6712 | Find the height $ h $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 6713 | Find the side $ c $ of a trapezoid if long base $a = 135\, \text{mm}$, short base $b = 100\, \text{mm}$, side $c = 85\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6714 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{cm}$, short base $b = 1\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 6715 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{cm}$, short base $b = 1\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 6716 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.6905\, \text{in}$, short base $b = 0.6185\, \text{in}$ and height $h = 1.375\, \text{in}$. | 2 |
| 6717 | Find the angle $ \beta $ of a trapezoid if long base $a = 3\, \text{m}$, short base $b = 1.2\, \text{m}$ and side $c = 1.6\, \text{m}$. | 2 |
| 6718 | Find the short base $ b $ of a trapezoid if long base $a = 0.75\, \text{in}$ and angle $\alpha = 5.5^o$. | 2 |
| 6719 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 55^o$. | 2 |
| 6720 | Find the height $ h $ of a trapezoid if long base $a = 7.2\, \text{in}$, short base $b = 4\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 6721 | Find the short base $ b $ of a trapezoid if long base $a = 0.75\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 11^o$. | 2 |
| 6722 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 12\, \text{cm}$. | 2 |
| 6723 | Find the long base $ a $ of a trapezoid if short base $b = 26\, \text{cm}$, side $c = 10\, \text{cm}$ and angle $\alpha = 80^o$. | 2 |
| 6724 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 15\, \text{cm}$ and height $h = 15\, \text{cm}$. | 2 |
| 6725 | Find the height $ h $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 15\, \text{cm}$ and angle $\alpha = 60^o$. | 2 |
| 6726 | Find the height $ h $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 15\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6727 | Find the angle $ \beta $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 14\, \text{in}$. | 2 |
| 6728 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{in}$, height $h = 9\, \text{in}$ and angle $\beta = 125^o$. | 2 |
| 6729 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{ft}$, side $c = 50\, \text{ft}$ and height $h = 50\, \text{ft}$. | 2 |
| 6730 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 6731 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 6732 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 7\, \text{mm}$. | 2 |
| 6733 | Find the angle $ \beta $ of a trapezoid if long base $a = 13\, \text{in}$, short base $b = 4\, \text{in}$ and side $c = 9\, \text{in}$. | 2 |
| 6734 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 3 }{ 4 }\, \text{in}$, short base $b = \frac{ 3 }{ 8 }\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 6735 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 6736 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 14\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 6737 | Find the long base $ a $ of a trapezoid if short base $b = 146\, \text{in}$, area $A = 21600\, \text{in}^2$ and angle $\alpha = 79^o$. | 2 |
| 6738 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{ft}$ and side $c = 20\, \text{ft}$. | 2 |
| 6739 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{ft}$ and side $c = 8\, \text{ft}$. | 2 |
| 6740 | Find the long base $ a $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{mm}$ and height $h = 72\, \text{in}$. | 2 |
| 6741 | Find the height $ h $ of a trapezoid if long base $a = 310.39\, \text{mm}$, short base $b = 270\, \text{mm}$ and side $c = 50\, \text{mm}$. | 2 |
| 6742 | Find the height $ h $ of a trapezoid if long base $a = 230.39\, \text{mm}$, short base $b = 190\, \text{mm}$ and side $c = 50.02\, \text{mm}$. | 2 |
| 6743 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, side $c = 40\, \text{mm}$ and height $h = 40\, \text{mm}$. | 2 |
| 6744 | Find the long base $ a $ of a trapezoid if short base $b = 9.5\, \text{in}$ and height $h = 33\, \text{in}$. | 2 |
| 6745 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 9.5\, \text{in}$ and height $h = 33\, \text{in}$. | 2 |
| 6746 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 9.5\, \text{in}$ and side $c = 33.25\, \text{in}$. | 2 |
| 6747 | Find the long base $ a $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 44\, \text{mm}$, side $c = 44\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6748 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{cm}$, side $c = 6\, \text{cm}$ and diagonal $d = 10\, \text{cm}$. | 2 |
| 6749 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{mm}$, height $h = 0.75\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 6750 | Find the long base $ a $ of a trapezoid if short base $b = 7.5\, \text{mm}$, height $h = 0.75\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
