Trapezoid

(the database of solved problems)

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

Select category

ID	Problem	Count
4151	Find the short base $ b $ of a trapezoid if long base $a = 1536$, height $h = 1240$ and angle $\alpha = 77^o$.	2
4152	Find the median $ m $ of a trapezoid if long base $a = 1550$, short base $b = 960$, height $h = 1240$ and angle $\alpha = 77^o$.	2
4153	Find the median $ m $ of a trapezoid if long base $a = 1536$, short base $b = 946$ and height $h = 1240$.	2
4154	Find the long base $ a $ 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
4155	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
4156	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
4157	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
4158	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
4159	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
4160	Find the side $ c $ of a trapezoid if diagonal $d = 15$, angle $\alpha = 25^o$ and angle $\beta = 110^o$.	2
4161	Find the height $ h $ of a trapezoid if long base $a = 16$, short base $b = 10$, side $c = 70$ and perimeter $P = 166$.	2
4162	Find the area $ A $ of a trapezoid if long base $a = 16$, short base $b = 10$ and side $c = 70$.	2
4163	Find the long base $ a $ of a trapezoid if long base $a = 451$, short base $b = 101$ and height $h = 759$.	2
4164	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
4165	Find the short base $ b $ of a trapezoid if long base $a = 120$, side $c = \frac{ 151 }{ 2 }$ and diagonal $d = 125$.	2
4166	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
4167	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
4168	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
4169	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$ and short base $b = \frac{ 25 }{ 8 }$.	2
4170	Find the of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = \frac{ 25 }{ 8 }$ and height $h = 10$.	2
4171	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
4172	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = 3$ and height $h = 8$.	2
4173	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$.	2
4174	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
4175	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
4176	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
4177	Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 10$ and angle $\alpha = 78^o$.	2
4178	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
4179	Find the long base $ a $ of a trapezoid if long base $a = 24$, height $h = 6$ and angle $\alpha = 15^o$.	2
4180	Find the short base $ b $ of a trapezoid if long base $a = 24$, height $h = 6$ and angle $\alpha = 15^o$.	2
4181	Find the long base $ a $ of a trapezoid if short base $b = 24$, height $h = 6$ and angle $\beta = 15^o$.	2
4182	Find the long base $ a $ of a trapezoid if short base $b = 24$, height $h = 6$ and angle $\beta = 105^o$.	2
4183	Find the long base $ a $ of a trapezoid if short base $b = 24$, height $h = \frac{ 11 }{ 2 }$ and angle $\beta = 105^o$.	2
4184	Find the long base $ a $ of a trapezoid if long base $a = 1775$, side $c = 255$ and height $h = 255$.	2
4185	Find the of a trapezoid if long base $a = 9$, short base $b = 8$ and height $h = 4$.	2
4186	Find the of a trapezoid if long base $a = 9$, short base $b = 8$ and height $h = 9$.	2
4187	Find the angle $ \beta $ of a trapezoid if long base $a = 9$, short base $b = 8$ and height $h = 9$.	2
4188	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
4189	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
4190	Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 20$ and height $h = 6$.	2
4191	Find the side $ c $ of a trapezoid if long base $a = 25$, short base $b = 20$ and height $h = 6$.	2
4192	Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = 25$ and height $h = 10$.	2
4193	Find the side $ c $ of a trapezoid if long base $a = 25$, short base $b = 20$ and height $h = 10$.	2
4194	Find the diagonal $ d $ of a trapezoid if short base $b = 20$ and side $c = 40$.	2
4195	Find the diagonal $ d $ of a trapezoid if short base $b = 20$, side $c = 40$ and angle $\alpha = 45^o$.	2
4196	Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = 40$ and angle $\alpha = 45^o$.	2
4197	Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = 40$ and median $m = 30$.	2
4198	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
4199	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
4200	Find the short base $ b $ of a trapezoid if long base $a = 300$ and height $h = 8$.	2