Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7751 | Find the long base $ a $ of a trapezoid if long base $a = 28.5\, \text{mm}$, short base $b = 27.5\, \text{mm}$ and side $c = 12.5\, \text{mm}$. | 1 |
| 7752 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28.5\, \text{mm}$, short base $b = 27.5\, \text{mm}$ and side $c = 12.5\, \text{mm}$. | 1 |
| 7753 | Find the height $ h $ of a trapezoid if height $h = 8\, \text{mm}$. | 1 |
| 7754 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 7755 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 7756 | Find the long base $ a $ of a trapezoid if long base $a = 40.9375\, \text{in}$, short base $b = 40\, \text{in}$ and side $c = 39.0625\, \text{in}$. | 1 |
| 7757 | Find the diagonal $ d $ of a trapezoid if long base $a = 40.9375\, \text{in}$, short base $b = 40\, \text{in}$ and side $c = 39.0625\, \text{in}$. | 1 |
| 7758 | Find the long base $ a $ of a trapezoid if long base $a = 520\, \text{cm}$, side $c = 320\, \text{cm}$ and height $h = 290\, \text{cm}$. | 1 |
| 7759 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 14\, \text{mm}$ and height $h = 4\, \text{mm}$. | 1 |
| 7760 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 6\, \text{mm}$ and area $A = 120\, \text{mm}^2$. | 1 |
| 7761 | Find the long base $ a $ of a trapezoid if side $c = 155\, \text{mm}$, height $h = 65\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7762 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 8\, \text{ft}$. | 1 |
| 7763 | Find the long base $ a $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 3\, \text{in}$ and area $A = 26.5\, \text{in}^2$. | 1 |
| 7764 | Find the long base $ a $ of a trapezoid if long base $a = 10.75\, \text{ft}$, short base $b = 21.5\, \text{ft}$ and side $c = 15.75\, \text{ft}$. | 1 |
| 7765 | Find the long base $ a $ of a trapezoid if short base $b = 10.75\, \text{ft}$, side $c = 15.75\, \text{ft}$ and diagonal $d = 21.5\, \text{ft}$. | 1 |
| 7766 | Find the side $ c $ of a trapezoid if long base $a = 15.75\, \text{ft}$, short base $b = 10.75\, \text{ft}$ and side $c = 15.75\, \text{ft}$. | 1 |
| 7767 | Find the long base $ a $ of a trapezoid if long base $a = 163.35\, \text{ft}$, short base $b = 116\, \text{ft}$ and side $c = 290\, \text{ft}$. | 1 |
| 7768 | Find the area $ A $ of a trapezoid if long base $a = 163.35\, \text{ft}$, short base $b = 116\, \text{ft}$ and side $c = 290\, \text{ft}$. | 1 |
| 7769 | Find the area $ A $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 6\, \text{in}$. | 1 |
| 7770 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$, height $h = 40\, \text{mm}$ and median $m = 85\, \text{mm}$. | 1 |
| 7771 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$, height $h = 40\, \text{mm}$ and median $m = 85\, \text{mm}$. | 1 |
| 7772 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 40\, \text{mm}$. | 1 |
| 7773 | Find the angle $ \alpha $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 40\, \text{mm}$. | 1 |
| 7774 | Find the angle $ \alpha $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 1 |
| 7775 | Find the angle $ \alpha $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 7776 | Find the short base $ b $ of a trapezoid if long base $a = 100\, \text{mm}$, height $h = 40\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 7777 | Find the side $ c $ of a trapezoid if long base $a = 1000\, \text{mm}$, short base $b = 701\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 7778 | Find the side $ c $ of a trapezoid if long base $a = 1000\, \text{mm}$, height $h = 400\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 7779 | Find the short base $ b $ of a trapezoid if long base $a = 1000\, \text{mm}$, height $h = 400\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 7780 | Find the side $ c $ of a trapezoid if long base $a = 1000\, \text{mm}$, short base $b = 708\, \text{mm}$ and height $h = 400\, \text{mm}$. | 1 |
| 7781 | Find the side $ c $ of a trapezoid if long base $a = 354\, \text{mm}$, short base $b = 100\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7782 | Find the side $ c $ of a trapezoid if long base $a = 354\, \text{mm}$, short base $b = 100\, \text{mm}$ and angle $\alpha = 110^o$. | 1 |
| 7783 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7784 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 70^o$. | 1 |
| 7785 | Find the long base $ a $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7786 | Find the short base $ b $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7787 | Find the side $ c $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7788 | Find the diagonal $ d $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7789 | Find the long base $ a $ of a trapezoid if short base $b = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 7790 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{mm}$, side $c = 2\, \text{mm}$ and diagonal $d = 4\, \text{mm}$. | 1 |
| 7791 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, short base $b = 4\, \text{cm}$ and side $c = 16\, \text{cm}$. | 1 |
| 7792 | Find the long base $ a $ of a trapezoid if long base $a = 11.5\, \text{in}$, height $h = 1.5\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7793 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 90^o$. | 1 |
| 7794 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 91^o$. | 1 |
| 7795 | Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 110^o$. | 1 |
| 7796 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 105^o$. | 1 |
| 7797 | Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 105^o$. | 1 |
| 7798 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 100^o$. | 1 |
| 7799 | Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 100^o$. | 1 |
| 7800 | Find the long base $ a $ of a trapezoid if short base $b = 9.08\, \text{mm}$, side $c = 13.97\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |