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 $b = 50$ and side $c = 30$ .	76
2	Find the long base $a$ of a trapezoid if short base $b = 8$ and side $c = 5$ .	72
3	Find the long base $a$ of a trapezoid if short base $b = 59$ , side $c = 27$ , angle $α = 4 5^{o}$ and angle $β = 13 5^{o}$ .	48
4	Find the long base $a$ of a trapezoid if long base $a = 6$ , height $h = 1$ , angle $α = 3 0^{o}$ and angle $β = 15 0^{o}$ .	41
5	Find the long base $a$ of a trapezoid if short base $b = 59$ , side $c = 27$ and angle $β = 4 5^{o}$ .	41
6	Find the area $A$ of a trapezoid if long base $a = 12$ , short base $b = \frac{18}{5}$ and height $h = 6$ .	36
7	Find the long base $a$ of a trapezoid if long base $a = \frac{201}{10}$ , side $c = 6$ and angle $α = 6 0^{o}$ .	32
8	Find the long base $a$ of a trapezoid if short base $b = 48$ , side $c = 32$ and height $h = 32$ .	28
9	Find the long base $a$ of a trapezoid if long base $a = 20$ , angle $α = 4 5^{o}$ and angle $β = 4 5^{o}$ .	22
10	Find the short base $b$ of a trapezoid if long base $a = 22$ , side $c = 7$ and angle $α = 7 0^{o}$ .	21
11	Find the area $A$ of a trapezoid if long base $a = 1100$ , short base $b = 1000$ and height $h = 900$ .	18
12	Find the short base $b$ of a trapezoid if long base $a = 31$ , side $c = 9$ and angle $α = 4 5^{o}$ .	18
13	Find the short base $b$ of a trapezoid if long base $a = 5$ , side $c = 2$ and height $h = 2$ .	17
14	Find the height $h$ of a trapezoid if area $A = 64$ .	17
15	Find the perimeter $P$ of a trapezoid if long base $a = 18$ , short base $b = 10$ , side $c = 5$ and height $h = 3$ .	15
16	Find the long base $a$ of a trapezoid if height $h = \frac{11}{2}$ , angle $α = 6 8^{o}$ and angle $β = 11 2^{o}$ .	14
17	Find the long base $a$ of a trapezoid if long base $a = 18$ , short base $b = 8$ , side $c = 43$ and angle $α = 6 0^{o}$ .	13
18	Find the angle $β$ of a trapezoid if long base $a = 300$ , short base $b = \frac{1}{20}$ and height $h = 8333$ .	13
19	Find the height $h$ of a trapezoid if long base $a = 5$ , short base $b = 4$ and side $c = 3$ .	13
20	Find the perimeter $P$ of a trapezoid if long base $a = 18$ , short base $b = 10$ and height $h = 3$ .	13
21	Find the area $A$ of a trapezoid if long base $a = 910$ , short base $b = 500$ and side $c = \frac{899}{2}$ .	13
22	Find the long base $a$ of a trapezoid if long base $a = 1000$ , short base $b = 740$ and height $h = 740$ .	13
23	Find the diagonal $d$ of a trapezoid if long base $a = 5$ , short base $b = 2$ and angle $α = 5 0^{o}$ .	12
24	Find the short base $b$ of a trapezoid if long base $a = 20$ , side $c = 6$ and angle $β = 12 0^{o}$ .	12
25	Find the long base $a$ of a trapezoid if short base $b = 59$ and side $c = 27$ .	11
26	Find the short base $b$ of a trapezoid if long base $a = 335$ , height $h = \frac{19}{25}$ , angle $α = 9 0^{o}$ and angle $β = 9 0^{o}$ .	11
27	Find the of a trapezoid if long base $a = \frac{51}{2}$ , short base $b = 22$ and side $c = 24$ .	11
28	Find the angle $β$ of a trapezoid if long base $a = 25$ , short base $b = 18$ and height $h = 10$ .	11
29	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 $β = 9 0^{o}$ .	11
30	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 $α = 8 4^{o}$ .	11
31	Find the height $h$ of a trapezoid if long base $a = 22$ and short base $b = 8$ .	11
32	Find the area $A$ of a trapezoid if long base $a = 20$ , angle $α = 4 5^{o}$ and angle $β = 13 5^{o}$ .	11
33	Find the area $A$ of a trapezoid if long base $a = 18$ , short base $b = 8$ and side $c = 43$ .	11
34	Find the long base $a$ of a trapezoid if long base $a = 36$ , side $c = 18$ , median $m = 9$ , angle $α = 4 5^{o}$ and angle $β = 13 5^{o}$ .	10
35	Find the angle $β$ of a trapezoid if long base $a = \frac{51}{2}$ , short base $b = 22$ and side $c = 24$ .	10
36	Find the side $c$ of a trapezoid if long base $a = 28$ , short base $b = 18$ and height $h = 10$ .	10
37	Find the long base $a$ of a trapezoid if long base $a = 185$ and side $c = 67$ .	10
38	Find the area $A$ of a trapezoid if long base $a = 961$ , short base $b = 483$ and angle $α = 54.853 8^{o}$ .	10
39	Find the height $h$ of a trapezoid if long base $a = 26$ , short base $b = 19$ and side $c = 22$ .	10
40	Find the short base $b$ of a trapezoid if long base $a = 11$ , side $c = 6$ and height $h = 4$ .	9
41	Find the long base $a$ of a trapezoid if long base $a = 71.75 in$ , short base $b = 66.25 in$ and height $h = 81.25 in$ .	9
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 $a = 11$ , height $h = 4$ and angle $β = \frac{226051}{2000}^{o}$ .	9
44	Find the long base $a$ of a trapezoid if short base $b = \frac{119}{10}$ , height $h = \frac{18}{5}$ and angle $α = 6 0^{o}$ .	9
45	Find the short base $b$ of a trapezoid if long base $a = 72$ , height $h = 24$ and angle $α = 1 8^{o}$ .	9
46	Find the long base $a$ of a trapezoid if short base $b = 16$ , height $h = 12$ and angle $α = 6 0^{o}$ .	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 of a trapezoid if long base $a = \frac{51}{2}$ , short base $b = 22$ and side $c = 22$ .	8
49	Find the long base $a$ of a trapezoid if long base $a = 30$ , short base $b = 21$ , side $c = 40$ and diagonal $d = 39$ .	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