Trapezoid – Solved Problems Database

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

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ID	Problem	Count
1	Find the long base $ a $ of a trapezoid if ???.	139
2	Find the long base $ a $ of a trapezoid if short base $b = 50$ and side $c = 30$.	76
3	Find the long base $ a $ of a trapezoid if short base $b = 8$ and side $c = 5$.	72
4	Find the long base $ a $ of a trapezoid if short base $b = 59$, side $c = 27$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	48
5	Find the long base $ a $ of a trapezoid if short base $b = 59$, side $c = 27$ and angle $\beta = 45^o$.	41
6	Find the long base $ a $ of a trapezoid if long base $a = 6$, height $h = 1$, angle $\alpha = 30^o$ and angle $\beta = 150^o$.	41
7	Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$.	36
8	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 201 }{ 10 }$, side $c = 6$ and angle $\alpha = 60^o$.	32
9	Find the long base $ a $ of a trapezoid if short base $b = 48$, side $c = 32$ and height $h = 32$.	28
10	Find the long base $ a $ of a trapezoid if ???.	25
11	Find the long base $ a $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$.	22
12	Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$.	21
13	Find the area $ A $ of a trapezoid if long base $a = 1100$, short base $b = 1000$ and height $h = 900$.	18
14	Find the short base $ b $ of a trapezoid if long base $a = 31$, side $c = 9$ and angle $\alpha = 45^o$.	18
15	Find the short base $ b $ of a trapezoid if long base $a = 5$, side $c = 2$ and height $h = 2$.	17
16	Find the height $ h $ of a trapezoid if area $A = 64$.	17
17	Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$, side $c = 5$ and height $h = 3$.	15
18	Find the long base $ a $ of a trapezoid if height $h = \frac{ 11 }{ 2 }$, angle $\alpha = 68^o$ and angle $\beta = 112^o$.	14
19	Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 8$, side $c = 4 \sqrt{ 3 }$ and angle $\alpha = 60^o$.	13
20	Find the long base $ a $ of a trapezoid if long base $a = 1000$, short base $b = 740$ and height $h = 740$.	13
21	Find the angle $ \beta $ of a trapezoid if long base $a = 300$, short base $b = \frac{ 1 }{ 20 }$ and height $h = 8333$.	13
22	Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 4$ and side $c = 3$.	13
23	Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$.	13
24	Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = \frac{ 899 }{ 2 }$.	13
25	Find the diagonal $ d $ of a trapezoid if long base $a = 5$, short base $b = 2$ and angle $\alpha = 50^o$.	12
26	Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\beta = 120^o$.	12
27	Find the short base $ b $ of a trapezoid if long base $a = 335$, height $h = \frac{ 19 }{ 25 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	11
28	Find the short base $ b $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, side $c = 24$, height $h = \frac{ 191 }{ 8 }$ and angle $\alpha = 84^o$.	11
29	Find the height $ h $ of a trapezoid if long base $a = 22$ and short base $b = 8$.	11
30	Find the long base $ a $ of a trapezoid if short base $b = 59$ and side $c = 27$.	11
31	Find the long base $ a $ of a trapezoid if long base $a = 19$, short base $b = 15$, side $c = 5$, height $h = 5$, area $A = 90$ and angle $\beta = 90^o$.	11
32	Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 18$ and height $h = 10$.	11
33	Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$.	11
34	Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$ and side $c = 4 \sqrt{ 3 }$.	11
35	Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	11
36	Find the long base $ a $ of a trapezoid if long base $a = 185$ and side $c = 67$.	10
37	Find the height $ h $ of a trapezoid if long base $a = 26$, short base $b = 19$ and side $c = 22$.	10
38	Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 18$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	10
39	Find the side $ c $ of a trapezoid if long base $a = 28$, short base $b = 18$ and height $h = 10$.	10
40	Find the area $ A $ of a trapezoid if long base $a = 961$, short base $b = 483$ and angle $\alpha = 54.8538^o$.	10
41	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$.	10
42	Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$.	9
43	Find the short base $ b $ of a trapezoid if long base $a = 11$, side $c = 6$ and height $h = 4$.	9
44	Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = 12$ and angle $\alpha = 60^o$.	9
45	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 18 }{ 5 }$ and angle $\alpha = 60^o$.	9
46	Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 24$ and angle $\alpha = 18^o$.	9
47	Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$, side $c = 13$ and height $h = 12$.	9
48	Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 4$ and angle $\beta = \frac{ 226051 }{ 2000 }^o$.	9
49	Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 22$.	8
50	Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$.	8