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
5301	Find the long base $ a $ of a trapezoid if short base $b = 100$, side $c = \frac{ 12546 }{ 25 }$ and angle $\alpha = 75^o$.	2
5302	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 114943 }{ 500 }$, side $c = \frac{ 49789 }{ 250 }$ and angle $\alpha = 75^o$.	2
5303	Find the long base $ a $ of a trapezoid if short base $b = 100$, side $c = \frac{ 12941 }{ 250 }$ and angle $\alpha = 75^o$.	2
5304	Find the area $ A $ of a trapezoid if long base $a = \frac{ 7 }{ 8 }$, height $h = \frac{ 9 }{ 8 }$ and angle $\alpha = 84^o$.	2
5305	Find the long base $ a $ of a trapezoid if long base $a = 34$, short base $b = 14$ and side $c = 60$.	2
5306	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 379 }{ 4 }$, short base $b = \frac{ 277 }{ 4 }$, side $c = \frac{ 401 }{ 8 }$ and angle $\alpha = 74^o$.	2
5307	Find the long base $ a $ of a trapezoid if short base $b = 10$, side $c = 72$ and median $m = 36$.	2
5308	Find the of a trapezoid if long base $a = \frac{ 1377 }{ 100 }$, short base $b = \frac{ 287 }{ 25 }$ and height $h = 12$.	2
5309	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 1377 }{ 100 }$, short base $b = \frac{ 287 }{ 25 }$ and height $h = 12$.	2
5310	Find the side $ c $ of a trapezoid if long base $a = 200$, short base $b = 160$ and height $h = 90$.	2
5311	Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 160$, side $c = \frac{ 9219 }{ 100 }$ and height $h = 90$.	2
5312	Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 44$ and angle $\alpha = 55^o$.	2
5313	Find the long base $ a $ of a trapezoid if height $h = 3$ and area $A = 15$.	2
5314	Find the long base $ a $ of a trapezoid if short base $b = 1$ and angle $\beta = 45^o$.	2
5315	Find the long base $ a $ of a trapezoid if short base $b = 1$, height $h = 2$ and angle $\beta = 45^o$.	2
5316	Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\beta = 45^o$.	2
5317	Find the side $ c $ of a trapezoid if long base $a = 5$, short base $b = 1$, angle $\alpha = 135^o$ and angle $\beta = 45^o$.	2
5318	Find the side $ c $ of a trapezoid if long base $a = 10$, short base $b = 1$ and angle $\beta = 45^o$.	2
5319	Find the long base $ a $ of a trapezoid if long base $a = 840$, side $c = \frac{ 3377 }{ 20 }$, height $h = 156$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 135 }{ 2 }^o$.	2
5320	Find the area $ A $ of a trapezoid if short base $b = 4$, height $h = 3.2028$ and angle $\alpha = 45^o$.	2
5321	Find the long base $ a $ of a trapezoid if long base $a = 350$, side $c = 360$ and angle $\alpha = 80^o$.	2
5322	Find the height $ h $ of a trapezoid if long base $a = \frac{ 979 }{ 50 }$, short base $b = \frac{ 25 }{ 2 }$ and side $c = \frac{ 229 }{ 25 }$.	2
5323	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 973 }{ 100 }$, height $h = 3$ and angle $\alpha = 76^o$.	2
5324	Find the side $ c $ of a trapezoid if long base $a = 38$, short base $b = 16$ and height $h = 6$.	2
5325	Find the long base $ a $ of a trapezoid if long base $a = 51$, short base $b = 47$ and side $c = 46$.	2
5326	Find the short base $ b $ of a trapezoid if long base $a = 51$, short base $b = 47$ and side $c = 46$.	2
5327	Find the height $ h $ of a trapezoid if long base $a = 51$, short base $b = 47$ and side $c = 46$.	2
5328	Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 20$ and side $c = 28$.	2
5329	Find the of a trapezoid if long base $a = 24$, short base $b = 20$ and side $c = 28$.	2
5330	Find the area $ A $ of a trapezoid if long base $a = 23$, short base $b = 9$, side $c = 19$, diagonal $d = 21$ and height $h = 18$.	2
5331	Find the of a trapezoid if long base $a = 1$, short base $b = \frac{ 1 }{ 2 }$ and height $h = 1$.	2
5332	Find the angle $ \beta $ of a trapezoid if long base $a = 1$, short base $b = \frac{ 1 }{ 2 }$ and height $h = 1$.	2
5333	Find the side $ c $ of a trapezoid if long base $a = 20$, short base $b = 16$ and height $h = 8$.	2
5334	Find the of a trapezoid if long base $a = 20$, short base $b = 16$, side $c = 17$ and height $h = 8$.	2
5335	Find the of a trapezoid if long base $a = 20$, short base $b = 16$ and height $h = 8$.	2
5336	Find the long base $ a $ of a trapezoid if long base $a = 10$, short base $b = 6$ and side $c = 8$.	2
5337	Find the long base $ a $ of a trapezoid if long base $a = 15$, side $c = 7$, height $h = 5$ and angle $\alpha = 90^o$.	2
5338	Find the perimeter $ P $ of a trapezoid if long base $a = 8$, short base $b = 6$, angle $\alpha = 60^o$ and angle $\beta = 120^o$.	2
5339	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 183 }{ 10 }$, short base $b = \frac{ 84 }{ 5 }$ and angle $\alpha = 3^o$.	2
5340	Find the diagonal $ d $ of a trapezoid if long base $a = \frac{ 183 }{ 10 }$, short base $b = \frac{ 84 }{ 5 }$, height $h = \frac{ 147 }{ 10 }$ and angle $\alpha = 3^o$.	2
5341	Find the side $ c $ of a trapezoid if long base $a = \frac{ 183 }{ 10 }$, short base $b = \frac{ 84 }{ 5 }$, height $h = \frac{ 147 }{ 10 }$ and angle $\alpha = 3^o$.	2
5342	Find the side $ c $ of a trapezoid if short base $b = \frac{ 84 }{ 5 }$, height $h = \frac{ 147 }{ 10 }$ and angle $\alpha = \frac{ 143 }{ 50 }^o$.	2
5343	Find the long base $ a $ of a trapezoid if long base $a = 1606$, short base $b = 1406$ and height $h = 1682$.	2
5344	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 31691 }{ 250 }$, side $c = 99$ and angle $\alpha = 75^o$.	2
5345	Find the side $ c $ of a trapezoid if long base $a = \frac{ 31691 }{ 250 }$, short base $b = 100$ and angle $\alpha = 75^o$.	2
5346	Find the side $ c $ of a trapezoid if long base $a = \frac{ 31691 }{ 250 }$, short base $b = 100$ and angle $\beta = 105^o$.	2
5347	Find the height $ h $ of a trapezoid if long base $a = \frac{ 31691 }{ 250 }$, short base $b = 100$ and angle $\beta = 105^o$.	2
5348	Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = \sqrt{ 20 }\, \text{mm}$.	2
5349	Find the long base $ a $ of a trapezoid if long base $a = 450\, \text{cm}$, short base $b = 350\, \text{cm}$, side $c = 350\, \text{cm}$ and height $h = 600\, \text{cm}$.	2
5350	Find the long base $ a $ of a trapezoid if long base $a = 34.5\, \text{in}$, side $c = 42.5\, \text{in}$ and diagonal $d = 8\, \text{in}$.	2