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
6401	Find the of a trapezoid if long base $a = 20$, short base $b = 2$ and side $c = 78$.	2
6402	Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = 31$, angle $\alpha = 90^o$ and angle $\beta = 88^o$.	2
6403	Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = 31$ and diagonal $d = 41$.	2
6404	Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = 31$ and angle $\alpha = 90^o$.	2
6405	Find the side $ c $ of a trapezoid if side $c = 31$, angle $\alpha = 90^o$ and angle $\beta = 88^o$.	2
6406	Find the long base $ a $ of a trapezoid if long base $a = 16$ and short base $b = 8$.	2
6407	Find the of a trapezoid if long base $a = 35$, short base $b = 9$ and side $c = 42$.	2
6408	Find the height $ h $ of a trapezoid if long base $a = 35$, short base $b = 9$ and side $c = 42$.	2
6409	Find the diagonal $ d $ of a trapezoid if long base $a = 35$, short base $b = \frac{ 483 }{ 50 }$ and side $c = 42$.	2
6410	Find the angle $ \beta $ of a trapezoid if long base $a = 35$, short base $b = \frac{ 483 }{ 50 }$ and side $c = 42$.	2
6411	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 119 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and height $h = 27$.	2
6412	Find the height $ h $ of a trapezoid if long base $a = 40$, short base $b = 14$ and side $c = 14$.	2
6413	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 7 }{ 2 }$, side $c = 2$ and height $h = \frac{ 7 }{ 2 }$.	2
6414	Find the long base $ a $ of a trapezoid if long base $a = 2000$, short base $b = 600$ and height $h = 300$.	2
6415	Find the long base $ a $ of a trapezoid if long base $a = 3000$, short base $b = 600$ and height $h = 300$.	2
6416	Find the side $ c $ of a trapezoid if long base $a = 3000$, short base $b = 600$ and height $h = 300$.	2
6417	Find the long base $ a $ of a trapezoid if height $h = \frac{ 14 }{ 5 }$ and angle $\alpha = \frac{ 31677 }{ 500 }^o$.	2
6418	Find the height $ h $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$.	2
6419	Find the height $ h $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$, height $h = \frac{ 23 }{ 4 }$ and angle $\alpha = 30^o$.	2
6420	Find the short base $ b $ of a trapezoid if long base $a = 21$, height $h = \frac{ 23 }{ 4 }$ and angle $\alpha = 30^o$.	2
6421	Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\beta = 120^o$.	2
6422	Find the side $ c $ of a trapezoid if long base $a = 41$, short base $b = \frac{ 55 }{ 2 }$ and side $c = 19$.	2
6423	Find the long base $ a $ of a trapezoid if short base $b = 19$ and median $m = 28$.	2
6424	Find the long base $ a $ of a trapezoid if long base $a = 12$ and short base $b = 6$.	2
6425	Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 9$ and side $c = 15$.	2
6426	Find the height $ h $ of a trapezoid if long base $a = 30$, short base $b = 9$ and side $c = 15$.	2
6427	Find the short base $ b $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 150^o$.	2
6428	Find the short base $ b $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and angle $\alpha = 45^o$.	2
6429	Find the height $ h $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and angle $\alpha = 45^o$.	2
6430	Find the height $ h $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, side $c = \frac{ 11 }{ 2 }$ and angle $\beta = 135^o$.	2
6431	Find the of a trapezoid if long base $a = 21$, short base $b = \frac{ 232 }{ 25 }$ and side $c = \frac{ 23 }{ 2 }$.	2
6432	Find the of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$.	2
6433	Find the long base $ a $ of a trapezoid if long base $a = 93$, side $c = 6$ and angle $\beta = 70^o$.	2
6434	Find the height $ h $ of a trapezoid if long base $a = 93$, side $c = 6$ and angle $\beta = 70^o$.	2
6435	Find the height $ h $ of a trapezoid if long base $a = 93$, side $c = 6$, angle $\alpha = 110^o$ and angle $\beta = 70^o$.	2
6436	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 205 }{ 16 }$, short base $b = \frac{ 201 }{ 8 }$, side $c = \frac{ 201 }{ 8 }$, diagonal $d = \frac{ 285 }{ 16 }$, height $h = \frac{ 201 }{ 8 }$ and perimeter $P = \frac{ 8011 }{ 16 }$.	2
6437	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 201 }{ 8 }$, side $c = \frac{ 201 }{ 8 }$, diagonal $d = \frac{ 285 }{ 16 }$, height $h = \frac{ 201 }{ 8 }$ and perimeter $P = \frac{ 8011 }{ 16 }$.	2
6438	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 201 }{ 8 }$, side $c = \frac{ 201 }{ 8 }$ and diagonal $d = \frac{ 285 }{ 16 }$.	2
6439	Find the height $ h $ of a trapezoid if long base $a = 7$ and short base $b = 3$.	2
6440	Find the height $ h $ of a trapezoid if long base $a = 7$, short base $b = 3$ and area $A = 15$.	2
6441	Find the long base $ a $ of a trapezoid if long base $a = 109$, short base $b = 59$ and height $h = 28$.	2
6442	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 713 }{ 20 }$, side $c = \frac{ 403 }{ 50 }$, height $h = \frac{ 403 }{ 50 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
6443	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 713 }{ 20 }$, short base $b = \frac{ 3347 }{ 100 }$, side $c = \frac{ 403 }{ 50 }$, height $h = \frac{ 403 }{ 50 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
6444	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 75 }{ 2 }$ and side $c = 24$.	2
6445	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 75 }{ 2 }$, side $c = 24$ and height $h = 24$.	2
6446	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 75 }{ 2 }$, side $c = 24$ and height $h = 28$.	2
6447	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 75 }{ 2 }$, side $c = 24$ and angle $\alpha = 80^o$.	2
6448	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 75 }{ 2 }$, side $c = 24$ and angle $\alpha = 85^o$.	2
6449	Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\alpha = 30^o$.	2
6450	Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 1$ and angle $\alpha = 45^o$.	2