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
5401	Find the side $ c $ of a trapezoid if long base $a = \frac{ 9 }{ 5 }$ and height $h = \frac{ 8 }{ 5 }$.	2
5402	Find the long base $ a $ of a trapezoid if long base $a = 1$, short base $b = \frac{ 9 }{ 10 }$ and angle $\alpha = 87^o$.	2
5403	Find the height $ h $ of a trapezoid if long base $a = 92$, short base $b = 54$ and angle $\alpha = 60^o$.	2
5404	Find the area $ A $ of a trapezoid if long base $a = 30$ and short base $b = 16$.	2
5405	Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 60$ and height $h = 60$.	2
5406	Find the short base $ b $ of a trapezoid if long base $a = 90$, short base $b = 60$ and height $h = 60$.	2
5407	Find the long base $ a $ of a trapezoid if side $c = \frac{ 707 }{ 100 }$, height $h = 5$ and angle $\alpha = 75^o$.	2
5408	Find the long base $ a $ of a trapezoid if side $c = \frac{ 707 }{ 100 }$, height $h = 5$ and angle $\alpha = 45^o$.	2
5409	Find the long base $ a $ of a trapezoid if long base $a = 189$, side $c = 162$, height $h = 162$ and angle $\beta = 30^o$.	2
5410	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 311 }{ 4 }$, short base $b = \frac{ 7 }{ 2 }$ and side $c = \frac{ 359 }{ 8 }$.	2
5411	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 311 }{ 4 }$, short base $b = \frac{ 7 }{ 2 }$ and side $c = \frac{ 359 }{ 8 }$.	2
5412	Find the side $ c $ of a trapezoid if long base $a = \frac{ 689 }{ 10 }$, short base $b = \frac{ 7 }{ 2 }$ and angle $\beta = \frac{ 729111 }{ 5000 }^o$.	2
5413	Find the side $ c $ of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 15$.	2
5414	Find the of a trapezoid if long base $a = 24$, short base $b = 15$ and height $h = 20$.	2
5415	Find the angle $ \beta $ of a trapezoid if long base $a = 24$, short base $b = 15$ and height $h = 20$.	2
5416	Find the diagonal $ d $ of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = \frac{ 37 }{ 2 }$.	2
5417	Find the diagonal $ d $ of a trapezoid if long base $a = 24$, short base $b = 15$ and height $h = 20$.	2
5418	Find the short base $ b $ of a trapezoid if long base $a = 15$, height $h = 20$ and area $A = 270$.	2
5419	Find the side $ c $ of a trapezoid if long base $a = 87$, short base $b = 16$ and height $h = 55$.	2
5420	Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 4$, side $c = 8$ and median $m = 6$.	2
5421	Find the angle $ \beta $ of a trapezoid if long base $a = 10$, short base $b = 8$, side $c = \frac{ 5099 }{ 1000 }$, height $h = 5$ and angle $\alpha = 78^o$.	2
5422	Find the long base $ a $ of a trapezoid if long base $a = 10$, height $h = 5$ and angle $\alpha = 30^o$.	2
5423	Find the perimeter $ P $ of a trapezoid if long base $a = 9$, short base $b = 13$ and height $h = 4$.	2
5424	Find the of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = \frac{ 243 }{ 10 }$.	2
5425	Find the angle $ \beta $ of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = \frac{ 243 }{ 10 }$.	2
5426	Find the height $ h $ of a trapezoid if long base $a = 48$, short base $b = 30$ and angle $\alpha = 75^o$.	2
5427	Find the height $ h $ of a trapezoid if long base $a = 48$, short base $b = 30$, angle $\alpha = 75^o$ and angle $\beta = 105^o$.	2
5428	Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 19$.	2
5429	Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 26$.	2
5430	Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and angle $\alpha = 75^o$.	2
5431	Find the area $ A $ of a trapezoid if long base $a = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$.	2
5432	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 5 }$, short base $b = 2$ and height $h = \frac{ 13 }{ 10 }$.	2
5433	Find the area $ A $ of a trapezoid if long base $a = 15$, short base $b = 3$ and height $h = 8$.	2
5434	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 3 }{ 2 }$, angle $\alpha = 14^o$ and angle $\beta = 90^o$.	2
5435	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 23 }{ 2 }$, short base $b = \frac{ 3 }{ 2 }$ and angle $\alpha = 90^o$.	2
5436	Find the long base $ a $ of a trapezoid if long base $a = 10$ and side $c = 1$.	2
5437	Find the short base $ b $ of a trapezoid if long base $a = 10$ and side $c = 1$.	2
5438	Find the long base $ a $ of a trapezoid if short base $b = 2$, height $h = \frac{ 1 }{ 4 }$ and angle $\alpha = 60^o$.	2
5439	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 339 }{ 2 }$, short base $b = 169$, side $c = \frac{ 553 }{ 4 }$ and diagonal $d = \frac{ 437 }{ 2 }$.	2
5440	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 413 }{ 16 }$, side $c = \frac{ 33 }{ 16 }$ and diagonal $d = \frac{ 33 }{ 16 }$.	2
5441	Find the side $ c $ of a trapezoid if long base $a = 30$, short base $b = 20$ and height $h = 10$.	2
5442	Find the long base $ a $ of a trapezoid if long base $a = 28$, short base $b = 14$ and side $c = 80$.	2
5443	Find the long base $ a $ of a trapezoid if long base $a = 80$, short base $b = 28$ and side $c = 14$.	2
5444	Find the long base $ a $ of a trapezoid if short base $b = 48$, side $c = 96$ and height $h = 78$.	2
5445	Find the short base $ b $ of a trapezoid if long base $a = 25$, side $c = \frac{ 25 }{ 2 }$ and height $h = \frac{ 433 }{ 40 }$.	2
5446	Find the long base $ a $ of a trapezoid if height $h = 10$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	2
5447	Find the long base $ a $ of a trapezoid if short base $b = 5$, side $c = 3 \sqrt{ 3 }$ and angle $\alpha = 30^o$.	2
5448	Find the height $ h $ of a trapezoid if long base $a = 21$ and side $c = 13$.	2
5449	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 81 }{ 2 }$, side $c = 14$ and angle $\alpha = 55^o$.	2
5450	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 4 }$, angle $\alpha = 60^o$ and angle $\beta = 120^o$.	2