Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5901 | Find the area $ A $ of a trapezoid if long base $a = 120$, short base $b = 80$, side $c = 36$, height $h = 1$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 5902 | Find the long base $ a $ of a trapezoid if area $A = 818$, angle $\alpha = 78^o$ and angle $\beta = 112^o$. | 2 |
| 5903 | Find the short base $ b $ of a trapezoid if long base $a = 12$, side $c = \frac{ 57 }{ 2 }$, angle $\alpha = 90^o$ and angle $\beta = 86^o$. | 2 |
| 5904 | Find the short base $ b $ of a trapezoid if long base $a = 12$, side $c = \frac{ 57 }{ 2 }$ and angle $\alpha = 86^o$. | 2 |
| 5905 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 5$ and side $c = 4$. | 2 |
| 5906 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = \frac{ 5 }{ 4 }$ and height $h = 10$. | 2 |
| 5907 | Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = \frac{ 113 }{ 2 }$ and angle $\beta = 170^o$. | 2 |
| 5908 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 113 }{ 2 }$, angle $\alpha = 10^o$ and angle $\beta = 170^o$. | 2 |
| 5909 | Find the of a trapezoid if long base $a = \frac{ 281 }{ 5 }$, short base $b = \frac{ 1251 }{ 25 }$ and height $h = \frac{ 9591 }{ 50 }$. | 2 |
| 5910 | Find the side $ c $ of a trapezoid if long base $a = 58$ and short base $b = 28$. | 2 |
| 5911 | Find the long base $ a $ of a trapezoid if long base $a = 24$, side $c = \frac{ 133 }{ 10 }$, height $h = \frac{ 66 }{ 5 }$ and area $A = \frac{ 1069 }{ 5 }$. | 2 |
| 5912 | Find the height $ h $ of a trapezoid if long base $a = 15$, short base $b = 8$ and side $c = 8$. | 2 |
| 5913 | Find the height $ h $ of a trapezoid if long base $a = 15$, short base $b = 8$ and side $c = 80$. | 2 |
| 5914 | Find the angle $ \beta $ of a trapezoid if long base $a = 15$, short base $b = 8$ and side $c = 80$. | 2 |
| 5915 | Find the long base $ a $ of a trapezoid if long base $a = 7$, short base $b = 4$ and height $h = 5$. | 2 |
| 5916 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 4$, height $h = 4$ and area $A = 24$. | 2 |
| 5917 | Find the long base $ a $ of a trapezoid if long base $a = 8$, height $h = 4$ and area $A = 24$. | 2 |
| 5918 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 118 }{ 5 }$, short base $b = \frac{ 91 }{ 5 }$ and height $h = 10$. | 2 |
| 5919 | Find the long base $ a $ of a trapezoid if long base $a = 50$, side $c = 35$, height $h = 35$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5920 | Find the long base $ a $ of a trapezoid if long base $a = 50$, short base $b = 43$, side $c = 35$, height $h = 35$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5921 | Find the long base $ a $ of a trapezoid if short base $b = 1$, side $c = \frac{ 7 }{ 5 }$ and area $A = \frac{ 12 }{ 5 }$. | 2 |
| 5922 | Find the long base $ a $ of a trapezoid if short base $b = 61$ and side $c = 61$. | 2 |
| 5923 | Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 12$, angle $\alpha = 65^o$ and angle $\beta = 40^o$. | 2 |
| 5924 | Find the long base $ a $ of a trapezoid if short base $b = 20$, height $h = 30$, angle $\alpha = 64^o$ and angle $\beta = 26^o$. | 2 |
| 5925 | Find the long base $ a $ of a trapezoid if long base $a = 124$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5926 | Find the short base $ b $ of a trapezoid if long base $a = 124$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5927 | Find the side $ c $ of a trapezoid if long base $a = 124$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5928 | Find the diagonal $ d $ of a trapezoid if long base $a = 124$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5929 | Find the long base $ a $ of a trapezoid if short base $b = 77$, height $h = \frac{ 21 }{ 4 }$ and angle $\alpha = 45^o$. | 2 |
| 5930 | Find the long base $ a $ of a trapezoid if long base $a = 20$, short base $b = 8$ and angle $\alpha = 67^o$. | 2 |
| 5931 | Find the of a trapezoid if long base $a = 27$, short base $b = 15$ and height $h = 15$. | 2 |
| 5932 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 131 }{ 5 }$, height $h = \frac{ 2149 }{ 100 }$ and angle $\alpha = \frac{ 276 }{ 5 }^o$. | 2 |
| 5933 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 131 }{ 5 }$, height $h = \frac{ 2149 }{ 100 }$, angle $\alpha = \frac{ 276 }{ 5 }^o$ and angle $\beta = \frac{ 624 }{ 5 }^o$. | 2 |
| 5934 | Find the of a trapezoid if long base $a = 160$, short base $b = 80$ and side $c = 120$. | 2 |
| 5935 | Find the area $ A $ of a trapezoid if long base $a = 160$, short base $b = 80$ and side $c = 120$. | 2 |
| 5936 | Find the long base $ a $ of a trapezoid if short base $b = 77$, side $c = \frac{ 119 }{ 16 }$ and angle $\alpha = 45^o$. | 2 |
| 5937 | Find the long base $ a $ of a trapezoid if short base $b = 77$, side $c = \frac{ 119 }{ 16 }$, height $h = \frac{ 21 }{ 4 }$ and angle $\alpha = 45^o$. | 2 |
| 5938 | Find the side $ c $ of a trapezoid if long base $a = 60$, short base $b = 48$ and height $h = 21$. | 2 |
| 5939 | Find the long base $ a $ of a trapezoid if long base $a = 145$, short base $b = 75$ and height $h = 120$. | 2 |
| 5940 | Find the short base $ b $ of a trapezoid if long base $a = 1000$, area $A = 327125$, angle $\alpha = 74^o$ and angle $\beta = 106^o$. | 2 |
| 5941 | Find the height $ h $ of a trapezoid if long base $a = 1$, area $A = \frac{ 327 }{ 1000 }$ and angle $\alpha = 74^o$. | 2 |
| 5942 | Find the height $ h $ of a trapezoid if long base $a = 1$, short base $b = 789$, area $A = \frac{ 327 }{ 1000 }$ and angle $\alpha = 74^o$. | 2 |
| 5943 | Find the height $ h $ of a trapezoid if long base $a = 1$, short base $b = 789$ and area $A = \frac{ 327 }{ 1000 }$. | 2 |
| 5944 | Find the height $ h $ of a trapezoid if long base $a = 1$, area $A = \frac{ 327 }{ 1000 }$ and angle $\beta = 74^o$. | 2 |
| 5945 | Find the short base $ b $ of a trapezoid if long base $a = 24$ and median $m = 18$. | 2 |
| 5946 | Find the long base $ a $ of a trapezoid if short base $b = 70$, height $h = 4$, angle $\alpha = 37^o$ and angle $\beta = 143^o$. | 2 |
| 5947 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 2 |
| 5948 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 2 |
| 5949 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 2 |
| 5950 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 2 |
