Trapezoid

(the database of solved problems)

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

Select category

ID	Problem	Count
201	Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mi}$, short base $b = 16.25\, \text{cm}$ and side $c = 17.56\, \text{cm}$.	7
202	Find the long base $ a $ of a trapezoid if height $h = 5.5\, \text{cm}$, angle $\alpha = 68^o$ and angle $\beta = 112^o$.	7
203	Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{cm}$, height $h = 10\, \text{cm}$ and angle $\alpha = 30^o$.	7
204	Find the long base $ a $ of a trapezoid if side $c = 4.5\, \text{cm}$, height $h = 6\, \text{cm}$ and area $A = 34.5\, \text{cm}$.	7
205	Find the long base $ a $ of a trapezoid if long base $a = 3.45\, \text{ft}$, short base $b = 1.8\, \text{cm}$ and side $c = 2.8\, \text{cm}$.	7
206	Find the long base $ a $ of a trapezoid if long base $a = 420\, \text{ft}$, short base $b = 85\, \text{cm}$ and side $c = 554.4185\, \text{cm}$.	7
207	Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{km}$, short base $b = 5\, \text{cm}$ and side $c = 6\, \text{cm}$.	7
208	Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 4\, \text{ft}$.	7
209	Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, side $c = 6\, \text{cm}$ and height $h = 4\, \text{cm}$.	7
210	Find the diagonal $ d $ of a trapezoid if long base $a = 30$, short base $b = 20$ and height $h = 20$.	7
211	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$.	7
212	Find the of a trapezoid if long base $a = 1892$, short base $b = 1180$ and height $h = 655$.	7
213	Find the of a trapezoid if long base $a = 2540$, short base $b = 2330$ and height $h = 173$.	7
214	Find the short base $ b $ of a trapezoid if side $c = \frac{ 303 }{ 5 }$, angle $\alpha = 33^o$ and angle $\beta = 167^o$.	7
215	Find the long base $ a $ of a trapezoid if long base $a = 42$, short base $b = 10$, angle $\alpha = 60^o$ and angle $\beta = 106^o$.	7
216	Find the height $ h $ of a trapezoid if long base $a = 5$ and short base $b = 3$.	7
217	Find the diagonal $ d $ of a trapezoid if long base $a = 15$, side $c = 7$ and angle $\alpha = 60^o$.	7
218	Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$, side $c = 4 \sqrt{ 3 }$ and angle $\alpha = 60^o$.	7
219	Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$ and side $c = 6$.	7
220	Find the area $ A $ of a trapezoid if long base $a = 24$, short base $b = 14$ and side $c = 9$.	7
221	Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = 21$.	7
222	Find the short base $ b $ of a trapezoid if long base $a = 185$ and side $c = 67$.	7
223	Find the long base $ a $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = 543.2579$.	7
224	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 61 }{ 4 }$, short base $b = 11$ and height $h = 5$.	7
225	Find the short base $ b $ of a trapezoid if long base $a = 10$, height $h = 6$ and area $A = 42$.	7
226	Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$.	7
227	Find the long base $ a $ of a trapezoid if short base $b = 18$, height $h = 10$ and angle $\beta = 45^o$.	7
228	Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 3$, side $c = 8$ and angle $\alpha = 90^o$.	7
229	Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$ and side $c = 4$.	7
230	Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 1$ and angle $\alpha = \frac{ 1843 }{ 50 }^o$.	7
231	Find the short base $ b $ of a trapezoid if long base $a = 35$, side $c = \frac{ 63 }{ 2 }$ and height $h = \frac{ 123 }{ 4 }$.	7
232	Find the height $ h $ of a trapezoid if long base $a = 210\, \text{mm}$, short base $b = 170\, \text{mm}$ and side $c = 50\, \text{mm}$.	7
233	Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$.	7
234	Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 60^o$.	7
235	Find the side $ c $ of a trapezoid if long base $a = 450\, \text{mm}$, side $c = 300\, \text{mm}$ and height $h = 300\, \text{mm}$.	6
236	Find the short base $ b $ of a trapezoid if long base $a = 14\, \text{mm}$, height $h = 2.2\, \text{mm}$ and angle $\alpha = 60^o$.	6
237	Find the long base $ a $ of a trapezoid if median $m = 11\, \text{mm}$.	6
238	Find the height $ h $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$.	6
239	Find the long base $ a $ of a trapezoid if side $c = 6\, \text{mm}$, area $A = 30\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	6
240	Find the height $ h $ of a trapezoid if long base $a = 211.98\, \text{mm}$, short base $b = 200.68\, \text{mm}$ and side $c = 30\, \text{mm}$.	6
241	Find the long base $ a $ of a trapezoid if long base $a = 2300\, \text{mm}$, short base $b = 1233\, \text{mm}$, side $c = 1333\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	6
242	Find the long base $ a $ of a trapezoid if long base $a = 2160\, \text{mm}$, side $c = 1000\, \text{mm}$ and angle $\alpha = 90^o$.	6
243	Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, side $c = 8\, \text{mm}$ and height $h = 6\, \text{mm}$.	6
244	Find the side $ c $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and height $h = 38.28\, \text{mm}$.	6
245	Find the long base $ a $ of a trapezoid if angle $\alpha = 90^o$.	6
246	Find the area $ A $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 13\, \text{mm}$.	6
247	Find the area $ A $ of a trapezoid if long base $a = 300\, \text{ft}$, short base $b = 210\, \text{ft}$, side $c = 190\, \text{ft}$ and diagonal $d = 350\, \text{ft}$.	6
248	Find the area $ A $ of a trapezoid if ???.	6
249	Find the area $ A $ of a trapezoid if long base $a = 183\, \text{m}$, short base $b = 163\, \text{m}$, side $c = 93\, \text{m}$, diagonal $d = 63\, \text{m}$, height $h = 1\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$.	6
250	Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{cm}$, side $c = 28.3\, \text{cm}$ and height $h = 20\, \text{cm}$.	6