Trapezoid

(the database of solved problems)

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

Select category

ID	Problem	Count
5501	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 8217 }{ 200 }$, short base $b = \frac{ 37291 }{ 1000 }$ and side $c = \frac{ 12349 }{ 500 }$.	2
5502	Find the area $ A $ of a trapezoid if long base $a = 30$, short base $b = 20$ and height $h = \frac{ 21 }{ 2 }$.	2
5503	Find the long base $ a $ of a trapezoid if long base $a = 16$, short base $b = 8$ and height $h = 10$.	2
5504	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 37 }{ 2 }$, short base $b = \frac{ 29 }{ 2 }$, height $h = 22$, angle $\alpha = 85^o$ and angle $\beta = 95^o$.	2
5505	Find the side $ c $ of a trapezoid if long base $a = \frac{ 65 }{ 4 }$, short base $b = 19$ and height $h = \frac{ 35 }{ 2 }$.	2
5506	Find the side $ c $ of a trapezoid if long base $a = 19$, short base $b = \frac{ 65 }{ 4 }$ and height $h = \frac{ 35 }{ 2 }$.	2
5507	Find the angle $ \beta $ of a trapezoid if long base $a = 19$, short base $b = \frac{ 65 }{ 4 }$ and side $c = \frac{ 439 }{ 25 }$.	2
5508	Find the long base $ a $ of a trapezoid if long base $a = 93$ and height $h = 48$.	2
5509	Find the long base $ a $ of a trapezoid if long base $a = 93$, height $h = 48$ and angle $\alpha = 45^o$.	2
5510	Find the of a trapezoid if long base $a = 4$, short base $b = 2$ and height $h = 10$.	2
5511	Find the side $ c $ of a trapezoid if long base $a = 5$, short base $b = \frac{ 5 }{ 2 }$ and height $h = 6$.	2
5512	Find the long base $ a $ of a trapezoid if long base $a = 48$, height $h = 24$, angle $\alpha = \frac{ 1307 }{ 25 }^o$ and angle $\beta = \frac{ 943 }{ 25 }^o$.	2
5513	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 381 }{ 1000 }$, height $h = \frac{ 381 }{ 2500 }$ and angle $\alpha = 60^o$.	2
5514	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 381 }{ 1000 }$, height $h = \frac{ 889 }{ 5000 }$ and angle $\alpha = 60^o$.	2
5515	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 381 }{ 1000 }$, height $h = \frac{ 127 }{ 625 }$ and angle $\alpha = 60^o$.	2
5516	Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = 5$ and area $A = \frac{ 135 }{ 4 }$.	2
5517	Find the height $ h $ of a trapezoid if long base $a = 7$, short base $b = \frac{ 16 }{ 5 }$ and area $A = \frac{ 51 }{ 2 }$.	2
5518	Find the long base $ a $ of a trapezoid if long base $a = 50$ and side $c = 15$.	2
5519	Find the long base $ a $ of a trapezoid if long base $a = 27$, short base $b = 23$ and height $h = \frac{ 11 }{ 2 }$.	2
5520	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 111 }{ 4 }$, short base $b = \frac{ 93 }{ 4 }$ and height $h = \frac{ 11 }{ 2 }$.	2
5521	Find the perimeter $ P $ of a trapezoid if short base $b = 23$, side $c = 8$ and angle $\alpha = 30^o$.	2
5522	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 111 }{ 4 }$, short base $b = \frac{ 93 }{ 4 }$ and height $h = \frac{ 11 }{ 2 }$.	2
5523	Find the short base $ b $ of a trapezoid if long base $a = 300$, height $h = 5$ and angle $\beta = 120^o$.	2
5524	Find the long base $ a $ of a trapezoid if long base $a = 31$, short base $b = 16$ and side $c = 8$.	2
5525	Find the angle $ \beta $ of a trapezoid if long base $a = 31$, short base $b = 16$ and side $c = 8$.	2
5526	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, height $h = \frac{ 191 }{ 8 }$ and angle $\alpha = 84^o$.	2
5527	Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 15$, side $c = 18$ and height $h = 6$.	2
5528	Find the long base $ a $ of a trapezoid if long base $a = 2900$, short base $b = 1300$ and side $c = 1060$.	2
5529	Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = 5$ and side $c = 24$.	2
5530	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 65 }{ 2 }$, short base $b = \frac{ 163 }{ 8 }$, side $c = \frac{ 403 }{ 16 }$ and diagonal $d = \frac{ 403 }{ 16 }$.	2
5531	Find the height $ h $ of a trapezoid if long base $a = \frac{ 65 }{ 2 }$, short base $b = \frac{ 163 }{ 8 }$, side $c = \frac{ 403 }{ 16 }$ and diagonal $d = \frac{ 403 }{ 16 }$.	2
5532	Find the of a trapezoid if long base $a = 21$, short base $b = 13$ and side $c = 15$.	2
5533	Find the long base $ a $ of a trapezoid if short base $b = 5$, side $c = 24$ and angle $\alpha = 84^o$.	2
5534	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 12763 }{ 100 }$, short base $b = \frac{ 384 }{ 5 }$ and side $c = 72$.	2
5535	Find the area $ A $ of a trapezoid if long base $a = 24$, short base $b = 10$ and angle $\alpha = 45^o$.	2
5536	Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 10$, median $m = 17$ and angle $\alpha = 45^o$.	2
5537	Find the long base $ a $ of a trapezoid if side $c = \frac{ 309 }{ 10 }$, height $h = \frac{ 82 }{ 5 }$ and area $A = \frac{ 1673 }{ 5 }$.	2
5538	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 163 }{ 10 }$ and height $h = 13$.	2
5539	Find the long base $ a $ of a trapezoid if long base $a = 30$ and short base $b = 20$.	2
5540	Find the long base $ a $ of a trapezoid if long base $a = 16$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	2
5541	Find the short base $ b $ of a trapezoid if long base $a = 16$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	2
5542	Find the short base $ b $ of a trapezoid if long base $a = 16$, height $h = \frac{ 11 }{ 2 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	2
5543	Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 72$ and angle $\alpha = 80^o$.	2
5544	Find the long base $ a $ of a trapezoid if long base $a = 157$, short base $b = \frac{ 209 }{ 2 }$, side $c = 246$ and angle $\beta = 45^o$.	2
5545	Find the long base $ a $ of a trapezoid if long base $a = 157$, short base $b = \frac{ 209 }{ 2 }$, side $c = 246$, perimeter $P = \frac{ 1507 }{ 2 }$ and angle $\beta = 45^o$.	2
5546	Find the long base $ a $ of a trapezoid if long base $a = 157$, short base $b = \frac{ 209 }{ 2 }$ and side $c = 246$.	2
5547	Find the height $ h $ of a trapezoid if long base $a = 157$, short base $b = \frac{ 209 }{ 2 }$ and side $c = 246$.	2
5548	Find the side $ c $ of a trapezoid if long base $a = \frac{ 66 }{ 5 }$, short base $b = \frac{ 37 }{ 5 }$ and perimeter $P = \frac{ 212 }{ 5 }$.	2
5549	Find the angle $ \beta $ of a trapezoid if long base $a = 26$, short base $b = 8$ and height $h = 9$.	2
5550	Find the short base $ b $ of a trapezoid if long base $a = 49$, height $h = 30$ and area $A = 1275$.	2