Trapezoid – Solved Problems Database
All the problems and solutions shown below were generated using the Trapezoid Calculator.
ID |
Problem |
Count |
101 | Find the of a trapezoid if long base $a = 1892$, short base $b = 1180$ and height $h = 655$. | 4 |
102 | Find the long base $ a $ of a trapezoid if short base $b = 32$, side $c = 41$ and height $h = 40$. | 4 |
103 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 622 }{ 5 }$, short base $b = \frac{ 2423 }{ 25 }$, side $c = \frac{ 2624 }{ 25 }$, angle $\alpha = 85^o$ and angle $\beta = 96^o$. | 4 |
104 | Find the of a trapezoid if long base $a = \frac{ 1199 }{ 20 }$, short base $b = \frac{ 597 }{ 10 }$ and side $c = \frac{ 9 }{ 20 }$. | 4 |
105 | Find the of a trapezoid if long base $a = 12$, short base $b = \frac{ 83 }{ 10 }$ and height $h = 7$. | 4 |
106 | Find the height $ h $ of a trapezoid if long base $a = 22$, short base $b = 8$ and area $A = 135$. | 4 |
107 | Find the long base $ a $ of a trapezoid if long base $a = 9$, short base $b = \frac{ 11 }{ 2 }$ and side $c = \frac{ 47 }{ 10 }$. | 4 |
108 | Find the long base $ a $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 4 |
109 | Find the of a trapezoid if long base $a = \frac{ 2 }{ 5 }$, short base $b = \frac{ 7 }{ 25 }$ and height $h = \frac{ 6 }{ 5 }$. | 4 |
110 | Find the area $ A $ of a trapezoid if long base $a = 14$, short base $b = 8$ and side $c = 5$. | 4 |
111 | Find the area $ A $ of a trapezoid if long base $a = 961$, short base $b = 483$, side $c = 493.7467$ and angle $\alpha = 54.8538^o$. | 4 |
112 | Find the long base $ a $ of a trapezoid if long base $a = 78$, short base $b = 56$ and height $h = 39$. | 4 |
113 | Find the height $ h $ of a trapezoid if long base $a = 2900$, short base $b = 1300$ and side $c = 1060$. | 4 |
114 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 69 }{ 20 }$, short base $b = \frac{ 9 }{ 5 }$ and side $c = \frac{ 42 }{ 5 }$. | 4 |
115 | Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 18$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
116 | Find the diagonal $ d $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 4 |
117 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 4 |
118 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\beta = 110^o$. | 4 |
119 | Find the long base $ a $ of a trapezoid if long base $a = 4$, short base $b = 8$, side $c = 3$ and height $h = 5$. | 3 |
120 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 8$ and side $c = 4 \sqrt{ 3 }$. | 3 |
121 | Find the median $ m $ of a trapezoid if long base $a = 19$, short base $b = 13$ and height $h = 10$. | 3 |
122 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 16356 }{ 3125 }$, area $A = 30$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 3 |
123 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 5$, side $c = 9$ and height $h = 8$. | 3 |
124 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 2962 }{ 5 }$, height $h = 225$, angle $\alpha = 25^o$ and angle $\beta = 130^o$. | 3 |
125 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$. | 3 |
126 | Find the long base $ a $ of a trapezoid if long base $a = 42$, short base $b = 36$ and height $h = \frac{ 57 }{ 2 }$. | 3 |
127 | Find the angle $ \beta $ of a trapezoid if long base $a = 42$, short base $b = 2$ and side $c = 96$. | 3 |
128 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = \frac{ 43 }{ 8 }$ and height $h = \frac{ 3 }{ 2 }$. | 3 |
129 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 3 |
130 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$ and side $c = 4$. | 3 |
131 | Find the side $ c $ of a trapezoid if long base $a = 2000$, short base $b = 500$ and height $h = 2000$. | 3 |
132 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 9$, side $c = 5$, diagonal $d = 5$, height $h = 4$ and angle $\alpha = 5^o$. | 3 |
133 | Find the diagonal $ d $ of a trapezoid if long base $a = 10$, height $h = 6$ and area $A = 52$. | 3 |
134 | Find the long base $ a $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = \frac{ 1517 }{ 25 }$. | 3 |
135 | Find the diagonal $ d $ of a trapezoid if long base $a = 24$, short base $b = 10$, median $m = 17$ and angle $\alpha = 45^o$. | 3 |
136 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$ and area $A = \frac{ 2121 }{ 40 }$. | 3 |
137 | Find the long base $ a $ of a trapezoid if long base $a = 130$. | 3 |
138 | Find the side $ c $ of a trapezoid if long base $a = 16$, short base $b = 10$ and height $h = 14$. | 3 |
139 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 39 }{ 250 }$, short base $b = \frac{ 7 }{ 100 }$ and height $h = \frac{ 99 }{ 500 }$. | 3 |
140 | Find the height $ h $ of a trapezoid if short base $b = 24$, height $h = 37$ and area $A = 145$. | 3 |
141 | Find the side $ c $ of a trapezoid if long base $a = 490$, short base $b = 100$ and height $h = 524$. | 3 |
142 | Find the short base $ b $ of a trapezoid if long base $a = 14$, height $h = 20$ and area $A = 182$. | 3 |
143 | Find the short base $ b $ of a trapezoid if long base $a = 70$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
144 | Find the long base $ a $ of a trapezoid if long base $a = 16$, short base $b = \frac{ 47 }{ 5 }$ and area $A = \frac{ 1651 }{ 10 }$. | 3 |
145 | Find the short base $ b $ of a trapezoid if height $h = 30$, median $m = 45$ and angle $\alpha = 45^o$. | 3 |
146 | Find the area $ A $ of a trapezoid if long base $a = 68$, short base $b = \frac{ 133 }{ 2 }$ and height $h = \frac{ 79 }{ 2 }$. | 3 |
147 | Find the of a trapezoid if long base $a = 24$, short base $b = 12$ and side $c = 52$. | 3 |
148 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 3 |
149 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 201 }{ 10 }$, side $c = 6$ and angle $\alpha = 60^o$. | 3 |
150 | Find the long base $ a $ of a trapezoid if short base $b = 170$ and side $c = 190$. | 3 |