Trapezoid

(the database of solved problems)

All the problems and solutions shown below were generated using the Trapezoid Calculator.

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ID	Problem	Count
6501	Find the side $ c $ of a trapezoid if short base $b = \frac{ 4339 }{ 500 }$, side $c = \frac{ 6603 }{ 1000 }$, angle $\alpha = \frac{ 3293 }{ 40 }^o$ and angle $\beta = 90^o$.	2
6502	Find the side $ c $ of a trapezoid if short base $b = \frac{ 4339 }{ 500 }$, angle $\alpha = \frac{ 3293 }{ 40 }^o$ and angle $\beta = 90^o$.	2
6503	Find the side $ c $ of a trapezoid if short base $b = \frac{ 4339 }{ 500 }$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 3293 }{ 40 }^o$.	2
6504	Find the side $ c $ of a trapezoid if short base $b = \frac{ 4339 }{ 500 }$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 3907 }{ 40 }^o$.	2
6505	Find the short base $ b $ of a trapezoid if long base $a = 105$, height $h = 36$, angle $\alpha = 80^o$ and angle $\beta = 100^o$.	2
6506	Find the side $ c $ of a trapezoid if diagonal $d = 15$, angle $\alpha = 25^o$ and angle $\beta = 110^o$.	2
6507	Find the height $ h $ of a trapezoid if long base $a = 16$, short base $b = 10$, side $c = 70$ and perimeter $P = 166$.	2
6508	Find the area $ A $ of a trapezoid if long base $a = 16$, short base $b = 10$ and side $c = 70$.	2
6509	Find the long base $ a $ of a trapezoid if long base $a = 451$, short base $b = 101$ and height $h = 759$.	2
6510	Find the long base $ a $ of a trapezoid if long base $a = 15$, side $c = 5$, diagonal $d = 17$, height $h = 12$, angle $\alpha = 90^o$ and angle $\beta = 45^o$.	2
6511	Find the short base $ b $ of a trapezoid if long base $a = 120$, side $c = \frac{ 151 }{ 2 }$ and diagonal $d = 125$.	2
6512	Find the long base $ a $ of a trapezoid if long base $a = 8$, side $c = 7$, height $h = 7$ and angle $\alpha = 90^o$.	2
6513	Find the long base $ a $ of a trapezoid if long base $a = 8$, side $c = 7$, diagonal $d = 10$, height $h = 7$ and angle $\alpha = 90^o$.	2
6514	Find the median $ m $ of a trapezoid if long base $a = \frac{ 969 }{ 10 }$, short base $b = \frac{ 219 }{ 5 }$ and height $h = \frac{ 139 }{ 2 }$.	2
6515	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$ and short base $b = \frac{ 25 }{ 8 }$.	2
6516	Find the of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = \frac{ 25 }{ 8 }$ and height $h = 10$.	2
6517	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$, angle $\alpha = 78^o$ and angle $\beta = 12^o$.	2
6518	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = 3$ and height $h = 8$.	2
6519	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$.	2
6520	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$, angle $\alpha = 78^o$ and angle $\beta = 102^o$.	2
6521	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, side $c = \frac{ 81787 }{ 10000 }$ and height $h = 8$.	2
6522	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, side $c = \frac{ 81787 }{ 10000 }$ and height $h = 8$.	2
6523	Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 10$ and angle $\alpha = 78^o$.	2
6524	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, side $c = \frac{ 46 }{ 5 }$ and height $h = 9$.	2
6525	Find the long base $ a $ of a trapezoid if long base $a = 24$, height $h = 6$ and angle $\alpha = 15^o$.	2
6526	Find the short base $ b $ of a trapezoid if long base $a = 24$, height $h = 6$ and angle $\alpha = 15^o$.	2
6527	Find the long base $ a $ of a trapezoid if short base $b = 24$, height $h = 6$ and angle $\beta = 15^o$.	2
6528	Find the long base $ a $ of a trapezoid if short base $b = 24$, height $h = 6$ and angle $\beta = 105^o$.	2
6529	Find the long base $ a $ of a trapezoid if short base $b = 24$, height $h = \frac{ 11 }{ 2 }$ and angle $\beta = 105^o$.	2
6530	Find the long base $ a $ of a trapezoid if long base $a = 1775$, side $c = 255$ and height $h = 255$.	2
6531	Find the of a trapezoid if long base $a = 9$, short base $b = 8$ and height $h = 4$.	2
6532	Find the of a trapezoid if long base $a = 9$, short base $b = 8$ and height $h = 9$.	2
6533	Find the angle $ \beta $ of a trapezoid if long base $a = 9$, short base $b = 8$ and height $h = 9$.	2
6534	Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 4$, side $c = \frac{ 23 }{ 2 }$ and height $h = \frac{ 28 }{ 5 }$.	2
6535	Find the short base $ b $ of a trapezoid if long base $a = 22$, short base $b = 4$, side $c = \frac{ 23 }{ 2 }$ and height $h = \frac{ 28 }{ 5 }$.	2
6536	Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 20$ and height $h = 6$.	2
6537	Find the side $ c $ of a trapezoid if long base $a = 25$, short base $b = 20$ and height $h = 6$.	2
6538	Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = 25$ and height $h = 10$.	2
6539	Find the side $ c $ of a trapezoid if long base $a = 25$, short base $b = 20$ and height $h = 10$.	2
6540	Find the diagonal $ d $ of a trapezoid if short base $b = 20$ and side $c = 40$.	2
6541	Find the diagonal $ d $ of a trapezoid if short base $b = 20$, side $c = 40$ and angle $\alpha = 45^o$.	2
6542	Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = 40$ and angle $\alpha = 45^o$.	2
6543	Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = 40$ and median $m = 30$.	2
6544	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 2 }$, short base $b = \frac{ 15 }{ 4 }$ and side $c = \frac{ 11 }{ 2 }$.	2
6545	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 1537 }{ 8 }$, side $c = \frac{ 655 }{ 4 }$ and angle $\alpha = \frac{ 141 }{ 5 }^o$.	2
6546	Find the short base $ b $ of a trapezoid if long base $a = 300$ and height $h = 8$.	2
6547	Find the long base $ a $ of a trapezoid if long base $a = 210$, height $h = 60$, angle $\alpha = 60^o$ and angle $\beta = 120^o$.	2
6548	Find the short base $ b $ of a trapezoid if long base $a = 210$, height $h = 60$ and angle $\alpha = 60^o$.	2
6549	Find the short base $ b $ of a trapezoid if long base $a = 210$, height $h = 60$ and angle $\beta = 120^o$.	2
6550	Find the long base $ a $ of a trapezoid if angle $\alpha = 26^o$ and angle $\beta = 26^o$.	2