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
51	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
52	Find the of a trapezoid if long base $a = \frac{111}{4}$ and short base $b = \frac{93}{4}$ .	8
53	Find the long base $a$ of a trapezoid if long base $a = 12$ , short base $b = \frac{18}{5}$ and height $h = 6$ .	8
54	Find the angle $α$ of a trapezoid if long base $a = 46 in$ , short base $b = 22 in$ and height $h = 10 in$ .	8
55	Find the height $h$ of a trapezoid if long base $a = 24$ , short base $b = 18$ and side $c = 15$ .	8
56	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
57	Find the long base $a$ of a trapezoid if long base $a = 6 mm$ , height $h = 1 cm$ , angle $α = 3 0^{o}$ and angle $β = 15 0^{o}$ .	8
58	Find the of a trapezoid if long base $a = 1895$ , short base $b = 1126$ and height $h = 698$ .	8
59	Find the area $A$ of a trapezoid if long base $a = \frac{5}{2}$ , short base $b = \frac{241}{100}$ and height $h = \frac{193}{100}$ .	8
60	Find the side $c$ of a trapezoid if short base $b = 3$ , side $c = 8$ and angle $α = 9 0^{o}$ .	8
61	Find the long base $a$ of a trapezoid if long base $a = 22$ and median $m = 19$ .	8
62	Find the height $h$ of a trapezoid if long base $a = 22$ , side $c = 7$ and angle $α = 7 0^{o}$ .	8
63	Find the of a trapezoid if long base $a = \frac{51}{2}$ , short base $b = 22$ and side $c = 22$ .	8
64	Find the area $A$ of a trapezoid if long base $a = 910$ , short base $b = 500$ and side $c = 477.0327$ .	8
65	Find the height $h$ of a trapezoid if long base $a = 35 mm$ , short base $b = 21 mm$ and side $c = 15.25 mm$ .	8
66	Find the long base $a$ of a trapezoid if long base $a = 36 mm$ , side $c = 18 cm$ , median $m = 9 cm$ , angle $α = 4 5^{o}$ and angle $β = 13 5^{o}$ .	8
67	Find the side $c$ of a trapezoid if long base $a = 25$ , short base $b = 18$ and height $h = 10$ .	8
68	Find the area $A$ of a trapezoid if long base $a = \frac{69}{20}$ , short base $b = \frac{9}{5}$ and side $c = \frac{42}{5}$ .	8
69	Find the short base $b$ of a trapezoid if long base $a = 10$ , height $h = 6$ and area $A = 42$ .	7
70	Find the long base $a$ of a trapezoid if long base $a = 42$ , short base $b = 10$ , angle $α = 6 0^{o}$ and angle $β = 10 6^{o}$ .	7
71	Find the long base $a$ of a trapezoid if long base $a = 8$ , short base $b = 6$ and side $c = 4$ .	7
72	Find the long base $a$ of a trapezoid if short base $b = 18$ , height $h = 10$ and angle $β = 4 5^{o}$ .	7
73	Find the height $h$ of a trapezoid if long base $a = 5$ and short base $b = 3$ .	7
74	Find the long base $a$ of a trapezoid if long base $a = 8$ , short base $b = 3$ , side $c = 8$ and angle $α = 9 0^{o}$ .	7
75	Find the diagonal $d$ of a trapezoid if long base $a = 30$ , short base $b = 20$ and height $h = 20$ .	7
76	Find the short base $b$ of a trapezoid if long base $a = 10$ , side $c = 1$ and angle $α = \frac{1843}{50}^{o}$ .	7
77	Find the area $A$ of a trapezoid if long base $a = 18$ , short base $b = 8$ , side $c = 43$ and angle $α = 6 0^{o}$ .	7
78	Find the diagonal $d$ of a trapezoid if long base $a = 15$ , side $c = 7$ and angle $α = 6 0^{o}$ .	7
79	Find the area $A$ of a trapezoid if long base $a = 20$ , short base $b = 10$ and side $c = 6$ .	7
80	Find the area $A$ of a trapezoid if long base $a = 24$ , short base $b = 14$ and side $c = 9$ .	7
81	Find the short base $b$ of a trapezoid if side $c = \frac{303}{5}$ , angle $α = 3 3^{o}$ and angle $β = 16 7^{o}$ .	7
82	Find the long base $a$ of a trapezoid if long base $a = 18$ , short base $b = 10$ and height $h = 3$ .	7
83	Find the angle $β$ of a trapezoid if long base $a = \frac{61}{4}$ , short base $b = 11$ and height $h = 5$ .	7
84	Find the short base $b$ of a trapezoid if long base $a = \frac{29}{4}$ , height $h = 8$ and angle $α = 7 8^{o}$ .	7
85	Find the short base $b$ of a trapezoid if long base $a = 22$ , side $c = 7$ and diagonal $d = 21$ .	7
86	Find the short base $b$ of a trapezoid if long base $a = 35$ , side $c = \frac{63}{2}$ and height $h = \frac{123}{4}$ .	7
87	Find the short base $b$ of a trapezoid if long base $a = 185$ and side $c = 67$ .	7
88	Find the of a trapezoid if long base $a = 1892$ , short base $b = 1180$ and height $h = 655$ .	7
89	Find the of a trapezoid if long base $a = 2540$ , short base $b = 2330$ and height $h = 173$ .	7
90	Find the long base $a$ of a trapezoid if long base $a = 910$ , short base $b = 500$ and side $c = 543.2579$ .	7
91	Find the long base $a$ of a trapezoid if long base $a = 24$ , angle $α = 9 0^{o}$ and angle $β = 5 7^{o}$ .	6
92	Find the short base $b$ of a trapezoid if long base $a = 20$ , height $h = 1$ and angle $α = 4 5^{o}$ .	6
93	Find the of a trapezoid if long base $a = \frac{1}{25}$ , short base $b = \frac{27}{1000}$ and height $h = \frac{247}{1000}$ .	6
94	Find the long base $a$ of a trapezoid if long base $a = \frac{65}{4}$ , short base $b = 19$ and height $h = \frac{35}{2}$ .	6
95	Find the side $c$ of a trapezoid if long base $a = \frac{37}{2}$ , short base $b = \frac{29}{2}$ , height $h = 22$ , angle $α = 8 5^{o}$ and angle $β = 9 5^{o}$ .	6
96	Find the long base $a$ of a trapezoid if long base $a = 117$ , short base $b = 116$ and side $c = 72$ .	6
97	Find the short base $b$ of a trapezoid if long base $a = \frac{5701}{100}$ , height $h = \frac{4873}{20}$ and angle $α = \frac{2227}{25}^{o}$ .	6
98	Find the long base $a$ of a trapezoid if short base $b = \frac{75}{2}$ , side $c = 36$ , height $h = 36$ , angle $α = 9 0^{o}$ and angle $β = \frac{4989}{40}^{o}$ .	6
99	Find the area $A$ of a trapezoid if long base $a = 415$ , short base $b = 75$ and side $c = 525.1505$ .	6
100	Find the long base $a$ of a trapezoid if long base $a = 9$ , short base $b = \frac{11}{2}$ and side $c = \frac{47}{10}$ .	6