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
101	Find the short base $b$ of a trapezoid if long base $a = 22$ , side $c = 7$ and diagonal $d = \frac{206799}{10000}$ .	6
102	Find the long base $a$ of a trapezoid if long base $a = 117$ , short base $b = 116$ and side $c = 72$ .	6
103	Find the height $h$ of a trapezoid if long base $a = 22$ , short base $b = 8$ and area $A = 135$ .	6
104	Find the long base $a$ of a trapezoid if short base $b = 8$ , height $h = \frac{3}{2}$ and angle $β = 10 4^{o}$ .	6
105	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
106	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
107	Find the area $A$ of a trapezoid if long base $a = 20$ , angle $α = 4 5^{o}$ and angle $β = 9 0^{o}$ .	6
108	Find the area $A$ of a trapezoid if long base $a = 415$ , short base $b = 75$ and side $c = 525.1505$ .	6
109	Find the long base $a$ of a trapezoid if short base $b = \frac{119}{10}$ , height $h = \frac{19}{5}$ and angle $α = 6 0^{o}$ .	6
110	Find the short base $b$ of a trapezoid if long base $a = 20$ , side $c = 6$ and angle $α = 6 0^{o}$ .	6
111	Find the long base $a$ of a trapezoid if short base $b = \frac{119}{10}$ , height $h = \frac{18}{5}$ and angle $α = 6 0^{o}$ .	6
112	Find the side $c$ of a trapezoid if long base $a = 20$ and short base $b = 16$ .	6
113	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 $β = 15 0^{o}$ .	6
114	Find the of a trapezoid if long base $a = \frac{53}{8}$ , short base $b = 2$ and side $c = 24$ .	6
115	Find the long base $a$ of a trapezoid if short base $b = 18$ , side $c = 11$ and height $h = 10$ .	6
116	Find the height $h$ of a trapezoid if long base $a = 48$ , short base $b = 22$ and area $A = 218$ .	5
117	Find the side $c$ of a trapezoid if long base $a = 26$ , short base $b = 8$ and height $h = 9$ .	5
118	Find the long base $a$ of a trapezoid if short base $b = \frac{31}{8}$ , angle $α = 7 0^{o}$ and angle $β = 11 0^{o}$ .	5
119	Find the height $h$ of a trapezoid if long base $a = \frac{9243}{100}$ , short base $b = \frac{859}{10}$ and side $c = 18$ .	5
120	Find the angle $β$ of a trapezoid if long base $a = \frac{23019}{1000}$ , height $h = \frac{143}{10}$ and angle $α = 6 7^{o}$ .	5
121	Find the long base $a$ of a trapezoid if long base $a = \frac{1}{25}$ , short base $b = \frac{27}{1000}$ and height $h = \frac{247}{1000}$ .	5
122	Find the side $c$ of a trapezoid if long base $a = 490$ , short base $b = 100$ and angle $α = 7 5^{o}$ .	5
123	Find the long base $a$ of a trapezoid if long base $a = \frac{19}{16}$ , short base $b = \frac{7}{8}$ and height $h = \frac{9}{2}$ .	5
124	Find the of a trapezoid if long base $a = \frac{1199}{20}$ , short base $b = \frac{597}{10}$ and side $c = \frac{9}{20}$ .	5
125	Find the long base $a$ of a trapezoid if short base $b = \frac{2067}{250}$ , height $h = \frac{127}{10}$ and angle $α = 6 7^{o}$ .	5
126	Find the long base $a$ of a trapezoid if long base $a = 29$ , height $h = 9$ and area $A = \frac{387}{2}$ .	5
127	Find the short base $b$ of a trapezoid if long base $a = 4$ , height $h = \frac{143}{10}$ and area $A = \frac{3289}{25}$ .	5
128	Find the long base $a$ of a trapezoid if short base $b = 11$ , height $h = 8$ and area $A = 136$ .	5
129	Find the long base $a$ of a trapezoid if long base $a = 30$ , side $c = 10$ , angle $α = 6 0^{o}$ and angle $β = 12 0^{o}$ .	5
130	Find the area $A$ of a trapezoid if long base $a = 23$ , short base $b = 15$ and side $c = \frac{1131}{100}$ .	5
131	Find the area $A$ of a trapezoid if long base $a = 32$ , short base $b = 6$ and side $c = 15$ .	5
132	Find the long base $a$ of a trapezoid if long base $a = 12$ , short base $b = 6$ and height $h = 4$ .	5
133	Find the of a trapezoid if long base $a = \frac{29}{4}$ , short base $b = 3$ and height $h = 10$ .	5
134	Find the side $c$ of a trapezoid if long base $a = 18$ and short base $b = 6$ .	5
135	Find the area $A$ of a trapezoid if long base $a = \frac{39}{5}$ , short base $b = \frac{16}{5}$ and side $c = \frac{29}{5}$ .	5
136	Find the short base $b$ of a trapezoid if long base $a = 21$ , side $c = \frac{23}{2}$ and angle $α = 3 0^{o}$ .	5
137	Find the angle $β$ of a trapezoid if long base $a = 3$ , short base $b = 1$ and height $h = 2$ .	5
138	Find the of a trapezoid if long base $a = 19$ , short base $b = \frac{65}{4}$ , side $c = \frac{439}{25}$ and height $h = \frac{35}{2}$ .	5
139	Find the of a trapezoid if angle $β = 12 2^{o}$ .	5
140	Find the area $A$ of a trapezoid if long base $a = 8$ , short base $b = 5$ and height $h = 9$ .	5
141	Find the area $A$ of a trapezoid if long base $a = 8$ , short base $b = 5$ and height $h = \frac{24}{5}$ .	5
142	Find the height $h$ of a trapezoid if long base $a = 14$ , short base $b = 4$ and side $c = 13$ .	5
143	Find the long base $a$ of a trapezoid if side $c = 30$ , angle $α = 6 5^{o}$ and angle $β = 9 0^{o}$ .	5
144	Find the area $A$ of a trapezoid if long base $a = 20$ , angle $α = 4 5^{o}$ and angle $β = 4 5^{o}$ .	5
145	Find the short base $b$ of a trapezoid if long base $a = 20$ , short base $b = 15$ and height $h = \frac{7}{2}$ .	5
146	Find the short base $b$ of a trapezoid if long base $a = \frac{21}{4}$ , height $h = \frac{11}{2}$ and angle $α = 7 5^{o}$ .	5
147	Find the long base $a$ of a trapezoid if long base $a = \frac{1491}{16}$ , short base $b = \frac{323}{4}$ and angle $α = 3 0^{o}$ .	5
148	Find the long base $a$ of a trapezoid if short base $b = 50$ , side $c = 6$ , height $h = \frac{59}{10}$ and angle $α = 8 0^{o}$ .	5
149	Find the height $h$ of a trapezoid if short base $b = 18$ , side $c = 11$ and angle $β = 4 5^{o}$ .	5
150	Find the short base $b$ of a trapezoid if long base $a = 31$ , side $c = 8$ and angle $α = 4 5^{o}$ .	5