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
6101	Find the long base $ a $ of a trapezoid if short base $b = 54$ and side $c = 48$.	2
6102	Find the short base $ b $ of a trapezoid if long base $a = 48$, height $h = \frac{ 15 }{ 2 }$ and angle $\alpha = 45^o$.	2
6103	Find the long base $ a $ of a trapezoid if long base $a = 72$, short base $b = 36$, side $c = 78$, height $h = 78$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
6104	Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 8$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
6105	Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 8$ and side $c = 12$.	2
6106	Find the of a trapezoid if long base $a = 10$, short base $b = 8$ and side $c = 12$.	2
6107	Find the side $ c $ of a trapezoid if long base $a = 10$, short base $b = 8$ and angle $\alpha = 90^o$.	2
6108	Find the side $ c $ of a trapezoid if long base $a = 10$, short base $b = 8$ and height $h = 12$.	2
6109	Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$, side $c = 5$, diagonal $d = 9$, height $h = 4$ and median $m = 7$.	2
6110	Find the long base $ a $ of a trapezoid if long base $a = 7$, side $c = 4$ and angle $\alpha = 60^o$.	2
6111	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 209 }{ 10 }$, short base $b = \frac{ 38 }{ 5 }$ and height $h = 8$.	2
6112	Find the height $ h $ of a trapezoid if long base $a = 18$, short base $b = 4$ and height $h = 6$.	2
6113	Find the side $ c $ of a trapezoid if long base $a = 14$, short base $b = 12$ and height $h = 12$.	2
6114	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 71 }{ 4 }$ and side $c = 9$.	2
6115	Find the long base $ a $ of a trapezoid if long base $a = 72$, short base $b = 55$ and side $c = 18$.	2
6116	Find the side $ c $ of a trapezoid if long base $a = 560$, short base $b = 144$ and angle $\alpha = 76^o$.	2
6117	Find the long base $ a $ of a trapezoid if long base $a = 11$, short base $b = 7$ and height $h = 3$.	2
6118	Find the area $ A $ of a trapezoid if long base $a = 11$, short base $b = 7$ and height $h = 3$.	2
6119	Find the median $ m $ of a trapezoid if long base $a = 6$ and short base $b = 2$.	2
6120	Find the long base $ a $ of a trapezoid if median $m = 30$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	2
6121	Find the short base $ b $ of a trapezoid if median $m = 30$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	2
6122	Find the long base $ a $ of a trapezoid if short base $b = 36$, height $h = 60$, angle $\alpha = \frac{ 45 }{ 2 }^o$ and angle $\beta = \frac{ 221 }{ 2 }^o$.	2
6123	Find the diagonal $ d $ of a trapezoid if long base $a = 83$, short base $b = 47$ and side $c = 42$.	2
6124	Find the area $ A $ of a trapezoid if long base $a = \frac{ 993 }{ 50 }$, short base $b = \frac{ 331 }{ 25 }$, side $c = \frac{ 331 }{ 25 }$ and diagonal $d = \frac{ 331 }{ 25 }$.	2
6125	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 347 }{ 50 }$, short base $b = \frac{ 381 }{ 100 }$ and side $c = \frac{ 156 }{ 25 }$.	2
6126	Find the side $ c $ of a trapezoid if long base $a = 28$, short base $b = \frac{ 3 }{ 2 }$ and angle $\alpha = \frac{ 1131 }{ 50 }^o$.	2
6127	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 921 }{ 10000 }$, height $h = \frac{ 59 }{ 1000 }$ and angle $\alpha = \frac{ 761 }{ 100 }^o$.	2
6128	Find the long base $ a $ of a trapezoid if long base $a = 1$.	2
6129	Find the short base $ b $ of a trapezoid if long base $a = 3$, height $h = 1$ and angle $\alpha = 45^o$.	2
6130	Find the long base $ a $ of a trapezoid if short base $b = 35$, side $c = 41$, diagonal $d = 43$ and height $h = 28$.	2
6131	Find the long base $ a $ of a trapezoid if ???.	2
6132	Find the long base $ a $ of a trapezoid if long base $a = 99$, short base $b = 32$ and side $c = 51$.	2
6133	Find the short base $ b $ of a trapezoid if long base $a = 73$, side $c = 27$, angle $\alpha = 11^o$ and angle $\beta = 11^o$.	2
6134	Find the short base $ b $ of a trapezoid if long base $a = 73$, side $c = 27$, height $h = \frac{ 105 }{ 4 }$, angle $\alpha = 11^o$ and angle $\beta = 11^o$.	2
6135	Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 6$ and diagonal $d = 14$.	2
6136	Find the area $ A $ of a trapezoid if long base $a = 22$, short base $b = 6$ and diagonal $d = 14$.	2
6137	Find the long base $ a $ of a trapezoid if long base $a = 3$, short base $b = 2$ and side $c = 3$.	2
6138	Find the side $ c $ of a trapezoid if height $h = 3$ and area $A = 27$.	2
6139	Find the side $ c $ of a trapezoid if height $h = 3$, median $m = 9$ and area $A = 27$.	2
6140	Find the long base $ a $ of a trapezoid if long base $a = 211$, short base $b = 140$, height $h = 60$ and area $A = 8340$.	2
6141	Find the long base $ a $ of a trapezoid if long base $a = 20$.	2
6142	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 21 }{ 2 }$, height $h = 8$ and area $A = \frac{ 296 }{ 5 }$.	2
6143	Find the side $ c $ of a trapezoid if long base $a = 12$.	2
6144	Find the side $ c $ of a trapezoid if long base $a = 13$, short base $b = 8$ and height $h = 4$.	2
6145	Find the height $ h $ of a trapezoid if long base $a = 10$, perimeter $P = 25$ and angle $\beta = 120^o$.	2
6146	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 1 }{ 4 }$, short base $b = \frac{ 27 }{ 200 }$ and height $h = \frac{ 17 }{ 200 }$.	2
6147	Find the short base $ b $ of a trapezoid if long base $a = 32$.	2
6148	Find the median $ m $ of a trapezoid if long base $a = \frac{ 38 }{ 5 }$ and short base $b = \frac{ 17 }{ 5 }$.	2
6149	Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 15$, side $c = 20$ and diagonal $d = 20$.	2
6150	Find the diagonal $ d $ of a trapezoid if long base $a = 30$, short base $b = 15$, side $c = 20$, diagonal $d = 20$ and height $h = 5$.	2