Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8801 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 13 }{ 16 }$, short base $b = \frac{ 5 }{ 16 }$ and angle $\alpha = 75^o$. | 1 |
| 8802 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 13 }{ 16 }$, short base $b = \frac{ 5 }{ 16 }$ and angle $\alpha = 90^o$. | 1 |
| 8803 | Find the long base $ a $ of a trapezoid if short base $b = 440$ and side $c = 510$. | 1 |
| 8804 | Find the angle $ \beta $ of a trapezoid if long base $a = 510$, short base $b = 440$ and side $c = 510$. | 1 |
| 8805 | Find the of a trapezoid if long base $a = 510$, short base $b = 440$ and side $c = 510$. | 1 |
| 8806 | Find the side $ c $ of a trapezoid if long base $a = 100$, short base $b = 45$ and height $h = 30$. | 1 |
| 8807 | Find the side $ c $ of a trapezoid if long base $a = 48$, short base $b = 12$, height $h = 60$ and angle $\alpha = 75^o$. | 1 |
| 8808 | Find the side $ c $ of a trapezoid if long base $a = 48$, height $h = 36$ and angle $\alpha = 75^o$. | 1 |
| 8809 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 109 }{ 10 }$, short base $b = \frac{ 47 }{ 10 }$ and height $h = 5$. | 1 |
| 8810 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 16837 }{ 1000 }$, height $h = 2$, angle $\alpha = 15^o$ and angle $\beta = 165^o$. | 1 |
| 8811 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 16837 }{ 1000 }$, height $h = 2$, angle $\alpha = 15^o$ and angle $\beta = 165^o$. | 1 |
| 8812 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 16837 }{ 1000 }$, height $h = 2$ and angle $\alpha = 15^o$. | 1 |
| 8813 | Find the long base $ a $ of a trapezoid if long base $a = 25$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 8814 | Find the side $ c $ of a trapezoid if long base $a = 25$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 8815 | Find the side $ c $ of a trapezoid if long base $a = 25$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8816 | Find the diagonal $ d $ of a trapezoid if long base $a = 25$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8817 | Find the median $ m $ of a trapezoid if long base $a = 25$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8818 | Find the long base $ a $ of a trapezoid if long base $a = 364$, short base $b = 220$ and height $h = 172$. | 1 |
| 8819 | Find the long base $ a $ of a trapezoid if short base $b = 12$, height $h = \frac{ 37 }{ 2 }$ and angle $\beta = 113^o$. | 1 |
| 8820 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 620833 }{ 100000 }$, short base $b = \frac{ 408333 }{ 100000 }$ and side $c = \frac{ 17 }{ 8 }$. | 1 |
| 8821 | Find the long base $ a $ of a trapezoid if long base $a = 1077$, short base $b = 1077$ and side $c = 1030$. | 1 |
| 8822 | Find the long base $ a $ of a trapezoid if side $c = 10$, height $h = 6$ and area $A = 60$. | 1 |
| 8823 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 6 }{ 5 }$, short base $b = \frac{ 4 }{ 5 }$ and height $h = \frac{ 41 }{ 20 }$. | 1 |
| 8824 | Find the perimeter $ P $ of a trapezoid if ???. | 1 |
| 8825 | Find the area $ A $ of a trapezoid if height $h = 16$. | 1 |
| 8826 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 12$ and height $h = 16$. | 1 |
| 8827 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 12$ and height $h = 16$. | 1 |
| 8828 | Find the side $ c $ of a trapezoid if long base $a = 65$, short base $b = 45$ and height $h = 16$. | 1 |
| 8829 | Find the short base $ b $ of a trapezoid if long base $a = \frac{\sqrt{ 2 }}{ 2 }$, side $c = \frac{\sqrt{ 6 }}{ 4 }$ and angle $\alpha = 60^o$. | 1 |
| 8830 | Find the long base $ a $ of a trapezoid if height $h = 8$ and area $A = 48$. | 1 |
| 8831 | Find the short base $ b $ of a trapezoid if long base $a = \sqrt{ 2 }$, side $c = \frac{\sqrt{ 2 }}{ 2 }$ and angle $\alpha = 60^o$. | 1 |
| 8832 | Find the long base $ a $ of a trapezoid if height $h = 8$, median $m = 6$ and area $A = 48$. | 1 |
| 8833 | Find the side $ c $ of a trapezoid if long base $a = 20$ and height $h = 12$. | 1 |
| 8834 | Find the short base $ b $ of a trapezoid if long base $a = 5$, height $h = \frac{ 5 }{ 2 }$ and angle $\alpha = \frac{ 4333 }{ 100 }^o$. | 1 |
| 8835 | Find the short base $ b $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.625\, \text{in}$ and angle $\alpha = 15^o$. | 1 |
| 8836 | Find the long base $ a $ of a trapezoid if long base $a = 4.849\, \text{mm}$, short base $b = 4.646\, \text{mm}$ and angle $\alpha = 18^o$. | 1 |
| 8837 | Find the short base $ b $ of a trapezoid if long base $a = 4.85\, \text{mm}$, height $h = 0.625\, \text{mm}$ and angle $\alpha = 18^o$. | 1 |
| 8838 | Find the side $ c $ of a trapezoid if long base $a = 10.8\, \text{m}$, short base $b = 6.35\, \text{m}$ and height $h = 6.35\, \text{m}$. | 1 |
| 8839 | Find the side $ c $ of a trapezoid if long base $a = 33\, \text{mm}$, side $c = 18\, \text{mm}$ and height $h = 33.28\, \text{mm}$. | 1 |
| 8840 | Find the side $ c $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and height $h = 33.28\, \text{mm}$. | 1 |
| 8841 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and side $c = 33.28\, \text{mm}$. | 1 |
| 8842 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{cm}$, side $c = 8\, \text{cm}$ and angle $\alpha = 90^o$. | 1 |
| 8843 | Find the long base $ a $ of a trapezoid if long base $a = 51\, \text{in}$, side $c = 16\, \text{in}$ and angle $\alpha = 24^o$. | 1 |
| 8844 | Find the short base $ b $ of a trapezoid if long base $a = 51.875\, \text{in}$, side $c = 16\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 66^o$. | 1 |
| 8845 | Find the short base $ b $ of a trapezoid if long base $a = 51.875\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 66^o$. | 1 |
| 8846 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{cm}$, side $c = 24\, \text{cm}$ and angle $\alpha = 84^o$. | 1 |
| 8847 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, height $h = 44\, \text{in}$ and angle $\beta = 33.69^o$. | 1 |
| 8848 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{mm}$, diagonal $d = 17\, \text{mm}$ and height $h = 8\, \text{mm}$. | 1 |
| 8849 | Find the perimeter $ P $ of a trapezoid if short base $b = 9\, \text{mm}$, diagonal $d = 17\, \text{mm}$ and height $h = 8\, \text{mm}$. | 1 |
| 8850 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{mm}$, side $c = 18\, \text{mm}$ and height $h = 18\, \text{mm}$. | 1 |
