Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6001 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 7$ and area $A = 18$. | 2 |
| 6002 | Find the long base $ a $ of a trapezoid if side $c = 30$, height $h = \frac{ 136 }{ 5 }$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 2 |
| 6003 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 8501 }{ 10 }$, short base $b = \frac{ 1219 }{ 2 }$ and height $h = 145$. | 2 |
| 6004 | Find the of a trapezoid if long base $a = \frac{ 8501 }{ 10 }$, short base $b = \frac{ 1219 }{ 2 }$ and height $h = 145$. | 2 |
| 6005 | Find the of a trapezoid if long base $a = \frac{ 8501 }{ 10 }$, short base $b = \frac{ 1219 }{ 2 }$ and height $h = 115$. | 2 |
| 6006 | Find the of a trapezoid if long base $a = 945$, short base $b = 683$ and height $h = 145$. | 2 |
| 6007 | Find the of a trapezoid if long base $a = 1600$, short base $b = 1450$ and height $h = 145$. | 2 |
| 6008 | Find the of a trapezoid if long base $a = 1600$, short base $b = 1450$ and height $h = 125$. | 2 |
| 6009 | Find the of a trapezoid if long base $a = 1590$, short base $b = 1480$ and height $h = 125$. | 2 |
| 6010 | Find the long base $ a $ of a trapezoid if short base $b = 50$ and height $h = 50$. | 2 |
| 6011 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = 70$ and height $h = 50$. | 2 |
| 6012 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = 60$ and height $h = 50$. | 2 |
| 6013 | Find the short base $ b $ of a trapezoid if long base $a = 6$, side $c = \frac{ 141 }{ 100 }$ and height $h = 1$. | 2 |
| 6014 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 21 }{ 2 }$, side $c = 5$ and angle $\beta = 135^o$. | 2 |
| 6015 | Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = \frac{ 21 }{ 2 }$ and angle $\beta = 135^o$. | 2 |
| 6016 | Find the side $ c $ of a trapezoid if short base $b = \frac{ 21 }{ 2 }$, height $h = 9$ and angle $\beta = 135^o$. | 2 |
| 6017 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 21 }{ 2 }$, height $h = 9$ and angle $\beta = 135^o$. | 2 |
| 6018 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 101 }{ 4 }$, short base $b = \frac{ 21 }{ 2 }$ and angle $\beta = 135^o$. | 2 |
| 6019 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 541 }{ 20 }$, short base $b = 17$ and side $c = \frac{ 709 }{ 100 }$. | 2 |
| 6020 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 541 }{ 20 }$, short base $b = 17$, side $c = \frac{ 709 }{ 100 }$, area $A = 110$ and perimeter $P = \frac{ 5823 }{ 100 }$. | 2 |
| 6021 | Find the side $ c $ of a trapezoid if long base $a = 87$, short base $b = \frac{ 83 }{ 2 }$, side $c = 34$, height $h = 34$ and angle $\alpha = 90^o$. | 2 |
| 6022 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 145 }{ 16 }$, short base $b = \frac{ 113 }{ 16 }$ and height $h = \frac{ 147 }{ 16 }$. | 2 |
| 6023 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 145 }{ 16 }$, short base $b = \frac{ 113 }{ 16 }$ and height $h = \frac{ 147 }{ 16 }$. | 2 |
| 6024 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 189 }{ 16 }$, short base $b = \frac{ 157 }{ 16 }$ and height $h = \frac{ 147 }{ 16 }$. | 2 |
| 6025 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 59 }{ 4 }$, short base $b = \frac{ 205 }{ 16 }$ and height $h = \frac{ 147 }{ 16 }$. | 2 |
| 6026 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 4$ and angle $\alpha = 88^o$. | 2 |
| 6027 | Find the long base $ a $ of a trapezoid if side $c = 4$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6028 | Find the side $ c $ of a trapezoid if long base $a = 38$, side $c = 20$ and angle $\alpha = 90^o$. | 2 |
| 6029 | Find the short base $ b $ of a trapezoid if long base $a = 38$, height $h = 20$ and angle $\alpha = 90^o$. | 2 |
| 6030 | Find the long base $ a $ of a trapezoid if long base $a = 18$, side $c = 1$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6031 | Find the short base $ b $ of a trapezoid if long base $a = 18$, side $c = 1$ and angle $\alpha = 45^o$. | 2 |
| 6032 | Find the short base $ b $ of a trapezoid if long base $a = 18$, side $c = 1$ and angle $\beta = 135^o$. | 2 |
| 6033 | Find the short base $ b $ of a trapezoid if long base $a = 8$, side $c = 4$ and height $h = 2$. | 2 |
| 6034 | Find the short base $ b $ of a trapezoid if long base $a = 8$, side $c = 4$, height $h = 2$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 6035 | Find the long base $ a $ of a trapezoid if short base $b = 6$, height $h = 10$ and area $A = 150$. | 2 |
| 6036 | Find the side $ c $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 12$. | 2 |
| 6037 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 2$ and height $h = 3$. | 2 |
| 6038 | Find the side $ c $ of a trapezoid if long base $a = 5$, short base $b = 2$ and height $h = 3$. | 2 |
| 6039 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1 }{ 2 }$, height $h = 9$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 6040 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 11 }{ 2 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\beta = 105^o$. | 2 |
| 6041 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 173 }{ 2 }$ and side $c = 72$. | 2 |
| 6042 | Find the short base $ b $ of a trapezoid if ???. | 2 |
| 6043 | Find the short base $ b $ of a trapezoid if long base $a = 9$, short base $b = 5$ and height $h = 13$. | 2 |
| 6044 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 5$ and side $c = 325$. | 2 |
| 6045 | Find the long base $ a $ of a trapezoid if long base $a = 28$, short base $b = \frac{ 2669 }{ 100 }$, side $c = 6$ and diagonal $d = \frac{ 68 }{ 5 }$. | 2 |
| 6046 | Find the median $ m $ of a trapezoid if long base $a = 1892$, short base $b = 1180$ and height $h = 655$. | 2 |
| 6047 | Find the long base $ a $ of a trapezoid if height $h = 655$, median $m = 1536$ and angle $\alpha = 61^o$. | 2 |
| 6048 | Find the long base $ a $ of a trapezoid if height $h = 650$, median $m = 1536$ and angle $\alpha = 61^o$. | 2 |
| 6049 | Find the short base $ b $ of a trapezoid if long base $a = 1892$, height $h = 650$ and median $m = 1536$. | 2 |
| 6050 | Find the of a trapezoid if long base $a = 1892$, height $h = 650$ and median $m = 1536$. | 2 |