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
1	Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	233
2	Find the long base $ a $ of a trapezoid if short base $b = 50\, \text{cm}$ and side $c = 30\, \text{cm}$.	137
3	Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{cm}$ and side $c = 5\, \text{cm}$.	117
4	Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$ and angle $\beta = 45^o$.	97
5	Find the long base $ a $ of a trapezoid if short base $b = 50$ and side $c = 30$.	76
6	Find the long base $ a $ of a trapezoid if short base $b = 8$ and side $c = 5$.	72
7	Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$, side $c = 18\, \text{cm}$, median $m = 9\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	69
8	Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, height $h = 1\, \text{cm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$.	65
9	Find the long base $ a $ of a trapezoid if ???.	64
10	Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{cm}$, side $c = 32\, \text{cm}$ and height $h = 32\, \text{cm}$.	61
11	Find the long base $ a $ of a trapezoid if angle $\alpha = 72^o$.	54
12	Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{cm}$, height $h = 8\, \text{cm}$ and area $A = 136\, \text{cm}$.	52
13	Find the long base $ a $ of a trapezoid if long base $a = 185\, \text{mm}$ and side $c = 67\, \text{cm}$.	48
14	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
15	Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, height $h = 6\, \text{cm}$ and area $A = 42\, \text{cm}$.	45
16	Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{cm}$, height $h = 5\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$.	44
17	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
18	Find the long base $ a $ of a trapezoid if short base $b = 59$, side $c = 27$ and angle $\beta = 45^o$.	41
19	Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$.	36
20	Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{km}$, short base $b = 4\, \text{cm}$ and side $c = 3\, \text{cm}$.	36
21	Find the long base $ a $ of a trapezoid if long base $a = 27.75\, \text{mi}$ and short base $b = 23.25\, \text{cm}$.	33
22	Find the long base $ a $ of a trapezoid if short base $b = 11.9\, \text{cm}$, height $h = 3.8\, \text{cm}$ and angle $\alpha = 60^o$.	32
23	Find the long base $ a $ of a trapezoid if long base $a = \frac{ 201 }{ 10 }$, side $c = 6$ and angle $\alpha = 60^o$.	32
24	Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3.6\, \text{cm}$ and height $h = 6\, \text{cm}$.	31
25	Find the long base $ a $ of a trapezoid if short base $b = 48$, side $c = 32$ and height $h = 32$.	28
26	Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{cm}$, height $h = 1.5\, \text{cm}$ and angle $\beta = 166^o$.	26
27	Find the long base $ a $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$.	22
28	Find the long base $ a $ of a trapezoid if long base $a = 106\, \text{ft}$, side $c = 25\, \text{cm}$ and angle $\alpha = 90^o$.	21
29	Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$.	21
30	Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mm}$, short base $b = 4.75\, \text{cm}$ and height $h = 23.875\, \text{cm}$.	20
31	Find the short base $ b $ of a trapezoid if long base $a = 31$, side $c = 9$ and angle $\alpha = 45^o$.	18
32	Find the area $ A $ of a trapezoid if long base $a = 1100$, short base $b = 1000$ and height $h = 900$.	18
33	Find the short base $ b $ of a trapezoid if long base $a = 5$, side $c = 2$ and height $h = 2$.	17
34	Find the height $ h $ of a trapezoid if area $A = 64$.	17
35	Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$, side $c = 5$ and height $h = 3$.	15
36	Find the long base $ a $ of a trapezoid if height $h = \frac{ 11 }{ 2 }$, angle $\alpha = 68^o$ and angle $\beta = 112^o$.	14
37	Find the long base $ a $ of a trapezoid if ???.	14
38	Find the long base $ a $ of a trapezoid if long base $a = 1000$, short base $b = 740$ and height $h = 740$.	13
39	Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = \frac{ 899 }{ 2 }$.	13
40	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
41	Find the angle $ \beta $ of a trapezoid if long base $a = 300$, short base $b = \frac{ 1 }{ 20 }$ and height $h = 8333$.	13
42	Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 4$ and side $c = 3$.	13
43	Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$.	13
44	Find the long base $ a $ of a trapezoid if ???.	13
45	Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\beta = 120^o$.	12
46	Find the diagonal $ d $ of a trapezoid if long base $a = 5$, short base $b = 2$ and angle $\alpha = 50^o$.	12
47	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
48	Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$ and side $c = 4 \sqrt{ 3 }$.	11
49	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
50	Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$.	11