Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7651 | Find the angle $ \alpha $ of a trapezoid if long base $a = 325\, \text{mm}$, short base $b = 300\, \text{mm}$ and height $h = 75\, \text{mm}$. | 1 |
| 7652 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 7653 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 4\, \text{in}$ and side $c = 64\, \text{in}$. | 1 |
| 7654 | Find the height $ h $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 4\, \text{in}$ and side $c = 64\, \text{in}$. | 1 |
| 7655 | Find the median $ m $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 4\, \text{in}$ and side $c = 64\, \text{in}$. | 1 |
| 7656 | Find the angle $ \beta $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 5\, \text{in}$ and side $c = 32\, \text{in}$. | 1 |
| 7657 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 5\, \text{in}$ and side $c = 32\, \text{in}$. | 1 |
| 7658 | Find the short base $ b $ of a trapezoid if long base $a = 59.5\, \text{mm}$, height $h = 0.5\, \text{mm}$, angle $\alpha = 20^o$ and angle $\beta = 160^o$. | 1 |
| 7659 | Find the short base $ b $ of a trapezoid if long base $a = 59.5\, \text{mm}$, height $h = 0.5\, \text{mm}$ and angle $\alpha = 20^o$. | 1 |
| 7660 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 48\, \text{in}$ and height $h = 16\, \text{in}$. | 1 |
| 7661 | Find the long base $ a $ of a trapezoid if long base $a = 4.89\, \text{m}$. | 1 |
| 7662 | Find the long base $ a $ of a trapezoid if long base $a = 4.89\, \text{m}$ and side $c = 1.85\, \text{m}$. | 1 |
| 7663 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{cm}$, short base $b = 10\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 7664 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{cm}$, short base $b = 10\, \text{cm}$, side $c = 14\, \text{mm}$, diagonal $d = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 7665 | Find the long base $ a $ of a trapezoid if long base $a = 61\, \text{mm}$, short base $b = 31\, \text{mm}$ and height $h = 19\, \text{mm}$. | 1 |
| 7666 | Find the angle $ \beta $ of a trapezoid if long base $a = 61\, \text{mm}$, short base $b = 31\, \text{mm}$ and height $h = 19\, \text{mm}$. | 1 |
| 7667 | Find the angle $ \alpha $ of a trapezoid if long base $a = 61\, \text{in}$, short base $b = 50\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 7668 | Find the angle $ \beta $ of a trapezoid if long base $a = 61\, \text{in}$, short base $b = 50\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 7669 | Find the side $ c $ of a trapezoid if long base $a = 61\, \text{in}$, short base $b = 50\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 7670 | Find the long base $ a $ of a trapezoid if median $m = 10\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 7671 | Find the long base $ a $ of a trapezoid if long base $a = 1176\, \text{ft}$, area $A = 10000\, \text{ft}^2$ and angle $\alpha = 43.0706^o$. | 1 |
| 7672 | Find the height $ h $ of a trapezoid if long base $a = 1176\, \text{ft}$, area $A = 10000\, \text{ft}^2$ and angle $\alpha = 43.0706^o$. | 1 |
| 7673 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 12\, \text{in}$. | 1 |
| 7674 | Find the long base $ a $ of a trapezoid if short base $b = 108\, \text{mm}$, angle $\alpha = 76.87^o$ and angle $\beta = 103.13^o$. | 1 |
| 7675 | Find the height $ h $ of a trapezoid if short base $b = 108\, \text{in}$, angle $\alpha = 76.87^o$ and angle $\beta = 103.13^o$. | 1 |
| 7676 | Find the height $ h $ of a trapezoid if long base $a = 262.5\, \text{mm}$, short base $b = 108\, \text{in}$, angle $\alpha = 76.87^o$ and angle $\beta = 103.13^o$. | 1 |
| 7677 | Find the height $ h $ of a trapezoid if long base $a = 131.25\, \text{mm}$, short base $b = 108\, \text{in}$ and angle $\beta = 104.48^o$. | 1 |
| 7678 | Find the long base $ a $ of a trapezoid if long base $a = 131.25\, \text{mm}$, short base $b = 108\, \text{mm}$ and angle $\beta = 104.48^o$. | 1 |
| 7679 | Find the height $ h $ of a trapezoid if long base $a = 131.25\, \text{mm}$, short base $b = 108\, \text{mm}$ and angle $\beta = 104.48^o$. | 1 |
| 7680 | Find the height $ h $ of a trapezoid if long base $a = 131.25\, \text{mm}$, short base $b = 108\, \text{mm}$ and area $A = 7177.5\, \text{mm}^2$. | 1 |
| 7681 | Find the angle $ \alpha $ of a trapezoid if long base $a = 131.25\, \text{mm}$, short base $b = 108\, \text{mm}$ and area $A = 7177.5\, \text{mm}^2$. | 1 |
| 7682 | Find the long base $ a $ of a trapezoid if short base $b = 148\, \text{cm}$ and side $c = 11\, \text{cm}$. | 1 |
| 7683 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 48\, \text{mm}$ and height $h = 24\, \text{mm}$. | 1 |
| 7684 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 48\, \text{mm}$ and height $h = 24\, \text{mm}$. | 1 |
| 7685 | Find the long base $ a $ of a trapezoid if long base $a = 66\, \text{mm}$. | 1 |
| 7686 | Find the angle $ \alpha $ of a trapezoid if long base $a = 66\, \text{mm}$, short base $b = 48\, \text{mm}$ and height $h = 24\, \text{mm}$. | 1 |
| 7687 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{in}$, side $c = 10.5\, \text{in}$, height $h = 4\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 1 |
| 7688 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$, diagonal $d = \sqrt{ 75 }\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 7689 | Find the height $ h $ of a trapezoid if long base $a = 27.5\, \text{mm}$, short base $b = 26\, \text{mm}$ and side $c = 26.5\, \text{mm}$. | 1 |
| 7690 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$, diagonal $d = \sqrt{ 75 }\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7691 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 45\, \text{mm}$ and perimeter $P = 132\, \text{mm}$. | 1 |
| 7692 | Find the side $ c $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 45\, \text{mm}$ and perimeter $P = 132\, \text{mm}$. | 1 |
| 7693 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 54\, \text{mm}$ and perimeter $P = 132\, \text{mm}$. | 1 |
| 7694 | Find the side $ c $ of a trapezoid if short base $b = 15\, \text{mm}$, area $A = 30\, \text{mm}^2$ and angle $\alpha = 60^o$. | 1 |
| 7695 | Find the long base $ a $ of a trapezoid if long base $a = 580\, \text{mm}$, short base $b = 500\, \text{mm}$ and area $A = 183000\, \text{mm}^2$. | 1 |
| 7696 | Find the height $ h $ of a trapezoid if long base $a = 580\, \text{mm}$, short base $b = 500\, \text{mm}$ and area $A = 183000\, \text{mm}^2$. | 1 |
| 7697 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{mm}$, side $c = 3.5\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 7698 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 12\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 7699 | Find the long base $ a $ of a trapezoid if short base $b = 11.9\, \text{cm}$, height $h = 3.6\, \text{cm}$ and angle $\alpha = 60^o$. | 1 |
| 7700 | Find the long base $ a $ of a trapezoid if side $c = 5\, \text{mm}$ and diagonal $d = 8.6603\, \text{mm}$. | 1 |
