Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 12901 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 29 }{ 10 }$, height $h = \frac{ 34 }{ 25 }$ and angle $\alpha = 60^o$. | 1 |
| 12902 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, short base $b = 1$, side $c = 1$, diagonal $d = 1$ and height $h = 1$. | 1 |
| 12903 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 3 }{ 5 }$, height $h = \frac{ 3 }{ 10 }$ and angle $\alpha = 60^o$. | 1 |
| 12904 | Find the of a trapezoid if short base $b = 11$, side $c = 30$ and angle $\alpha = 10^o$. | 1 |
| 12905 | Find the long base $ a $ of a trapezoid if short base $b = 10$, side $c = 30$ and angle $\alpha = 80^o$. | 1 |
| 12906 | Find the long base $ a $ of a trapezoid if short base $b = 70$, side $c = 65$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 227 }{ 2 }^o$. | 1 |
| 12907 | Find the side $ c $ of a trapezoid if short base $b = 70$, side $c = 65$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 227 }{ 2 }^o$. | 1 |
| 12908 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = \frac{ 1793 }{ 100 }$, side $c = 19$ and height $h = \frac{ 179 }{ 10 }$. | 1 |
| 12909 | Find the median $ m $ of a trapezoid if long base $a = 36$, short base $b = \frac{ 1793 }{ 100 }$ and side $c = 19$. | 1 |
| 12910 | Find the of a trapezoid if short base $b = \frac{ 55 }{ 2 }$, side $c = 12$ and height $h = 11$. | 1 |
| 12911 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 76 }{ 5 }$, height $h = 173$ and angle $\alpha = \frac{ 448 }{ 5 }^o$. | 1 |
| 12912 | Find the long base $ a $ of a trapezoid if height $h = 600$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 1 |
| 12913 | Find the long base $ a $ of a trapezoid if long base $a = 7$, short base $b = 5$ and height $h = \sqrt{ 8 }$. | 1 |
| 12914 | Find the side $ c $ of a trapezoid if long base $a = 7$, short base $b = 5$ and height $h = \sqrt{ 8 }$. | 1 |
| 12915 | Find the long base $ a $ of a trapezoid if long base $a = 20$ and short base $b = 12$. | 1 |
| 12916 | Find the side $ c $ of a trapezoid if long base $a = 20$ and short base $b = 12$. | 1 |
| 12917 | Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = 12$ and median $m = 16$. | 1 |
| 12918 | Find the long base $ a $ of a trapezoid if long base $a = 10$, side $c = 5$ and diagonal $d = \sqrt{ 75 }$. | 1 |
| 12919 | Find the of a trapezoid if long base $a = 20$, short base $b = \frac{ 76 }{ 5 }$ and height $h = 173$. | 1 |
| 12920 | Find the short base $ b $ of a trapezoid if long base $a = 17$, short base $b = 8$ and height $h = 7$. | 1 |
| 12921 | Find the side $ c $ of a trapezoid if long base $a = 17$, short base $b = 8$ and height $h = 7$. | 1 |
| 12922 | Find the long base $ a $ of a trapezoid if side $c = 6$, diagonal $d = 6$ and height $h = 4$. | 1 |
| 12923 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 40$, height $h = 80$ and angle $\beta = 45^o$. | 1 |
| 12924 | Find the short base $ b $ of a trapezoid if height $h = 10$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 12925 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 5$ and height $h = 10$. | 1 |
| 12926 | Find the long base $ a $ of a trapezoid if short base $b = 24$, side $c = 19$ and height $h = 13$. | 1 |
| 12927 | Find the long base $ a $ of a trapezoid if short base $b = 24$, side $c = 17$ and height $h = 13$. | 1 |
| 12928 | Find the side $ c $ of a trapezoid if long base $a = 36$, short base $b = 24$ and height $h = 13$. | 1 |
| 12929 | Find the side $ c $ of a trapezoid if long base $a = 40$, short base $b = 24$ and height $h = 13$. | 1 |
| 12930 | Find the long base $ a $ of a trapezoid if short base $b = 15$, angle $\alpha = 110^o$ and angle $\beta = 70^o$. | 1 |
| 12931 | Find the of a trapezoid if long base $a = 25$, short base $b = 15$ and median $m = 20$. | 1 |
| 12932 | Find the side $ c $ of a trapezoid if long base $a = 7$, short base $b = 4$ and side $c = 6$. | 1 |
| 12933 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 413 }{ 200 }$, short base $b = \frac{ 25 }{ 16 }$ and height $h = \frac{ 24069 }{ 1000 }$. | 1 |
| 12934 | Find the short base $ b $ of a trapezoid if long base $a = 1200$ and height $h = 1200$. | 1 |
| 12935 | Find the short base $ b $ of a trapezoid if long base $a = 1200$, height $h = 1200$ and angle $\alpha = 90^o$. | 1 |
| 12936 | Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 12$ and area $A = 150$. | 1 |
| 12937 | Find the of a trapezoid if long base $a = 27$, short base $b = 9$ and height $h = 13$. | 1 |
| 12938 | Find the of a trapezoid if long base $a = 65$, short base $b = 40$ and side $c = 40$. | 1 |
| 12939 | Find the angle $ \beta $ of a trapezoid if long base $a = 65$, short base $b = 40$ and side $c = 40$. | 1 |
| 12940 | Find the long base $ a $ of a trapezoid if long base $a = 45$, height $h = 36$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 12941 | Find the long base $ a $ of a trapezoid if long base $a = 45$, height $h = 45$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 12942 | Find the long base $ a $ of a trapezoid if long base $a = 45$, height $h = 50$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 12943 | Find the long base $ a $ of a trapezoid if long base $a = 45$, short base $b = 40$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 12944 | Find the long base $ a $ of a trapezoid if long base $a = 45$, short base $b = 40$ and angle $\beta = 135^o$. | 1 |
| 12945 | Find the short base $ b $ of a trapezoid if long base $a = 45$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 12946 | Find the short base $ b $ of a trapezoid if long base $a = 45$, side $c = 40$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 12947 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 19 }{ 10 }$, height $h = \frac{ 14 }{ 5 }$ and angle $\alpha = \frac{ 31677 }{ 500 }^o$. | 1 |
| 12948 | Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$, height $h = \frac{ 23 }{ 4 }$ and angle $\alpha = 30^o$. | 1 |
| 12949 | Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 120^o$. | 1 |
| 12950 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 12$ and side $c = 15$. | 1 |
