Trapezoid – Solved Problems Database
All the problems and solutions shown below were generated using the Trapezoid Calculator.
ID |
Problem |
Count |
1 | Find the long base $ a $ of a trapezoid if ???. | 67 |
2 | Find the long base $ a $ of a trapezoid if short base $b = 50$ and side $c = 30$. | 23 |
3 | Find the long base $ a $ of a trapezoid if short base $b = 59$, side $c = 27$ and angle $\beta = 45^o$. | 18 |
4 | Find the long base $ a $ of a trapezoid if short base $b = 48$, side $c = 32$ and height $h = 32$. | 15 |
5 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 201 }{ 10 }$, side $c = 6$ and angle $\alpha = 60^o$. | 13 |
6 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$. | 10 |
7 | Find the long base $ a $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 10 |
8 | Find the area $ A $ of a trapezoid if long base $a = 1100$, short base $b = 1000$ and height $h = 900$. | 10 |
9 | Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = 12$ and angle $\alpha = 60^o$. | 9 |
10 | Find the long base $ a $ of a trapezoid if long base $a = 6$, height $h = 1$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 9 |
11 | Find the long base $ a $ of a trapezoid if short base $b = 8$ and side $c = 5$. | 8 |
12 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 11 }{ 2 }$, angle $\alpha = 68^o$ and angle $\beta = 112^o$. | 8 |
13 | Find the long base $ a $ of a trapezoid if ???. | 8 |
14 | Find the long base $ a $ of a trapezoid if long base $a = 1000$, short base $b = 740$ and height $h = 740$. | 7 |
15 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$ and side $c = 4 \sqrt{ 3 }$. | 7 |
16 | Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$, side $c = 5$ and height $h = 3$. | 7 |
17 | Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$. | 7 |
18 | Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 4$ and angle $\beta = \frac{ 226051 }{ 2000 }^o$. | 7 |
19 | Find the angle $ \beta $ of a trapezoid if long base $a = 300$, short base $b = \frac{ 1 }{ 20 }$ and height $h = 8333$. | 7 |
20 | Find the diagonal $ d $ of a trapezoid if long base $a = 5$, short base $b = 2$ and angle $\alpha = 50^o$. | 7 |
21 | Find the long base $ a $ of a trapezoid if short base $b = 59$, side $c = 27$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 7 |
22 | Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 18$ and height $h = 10$. | 7 |
23 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$, side $c = 4 \sqrt{ 3 }$ and angle $\alpha = 60^o$. | 6 |
24 | Find the height $ h $ of a trapezoid if area $A = 64$. | 6 |
25 | Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$. | 6 |
26 | Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$. | 6 |
27 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 4$ and side $c = 3$. | 6 |
28 | 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 |
29 | Find the long base $ a $ of a trapezoid if long base $a = 42$, short base $b = 10$, angle $\alpha = 60^o$ and angle $\beta = 106^o$. | 6 |
30 | Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\beta = 120^o$. | 6 |
31 | Find the long base $ a $ of a trapezoid if long base $a = 117$, short base $b = 116$ and side $c = 72$. | 6 |
32 | Find the height $ h $ of a trapezoid if long base $a = 22$ and short base $b = 8$. | 6 |
33 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 6 |
34 | Find the height $ h $ of a trapezoid if long base $a = 26$, short base $b = 19$ and side $c = 22$. | 6 |
35 | Find the short base $ b $ of a trapezoid if long base $a = 5$, side $c = 2$ and height $h = 2$. | 6 |
36 | Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = \frac{ 899 }{ 2 }$. | 5 |
37 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$. | 5 |
38 | Find the side $ c $ of a trapezoid if short base $b = 3$, side $c = 8$ and angle $\alpha = 90^o$. | 5 |
39 | Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\alpha = 60^o$. | 5 |
40 | 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 |
41 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$. | 5 |
42 | Find the area $ A $ of a trapezoid if long base $a = 24$, short base $b = 14$ and side $c = 9$. | 5 |
43 | Find the long base $ a $ of a trapezoid if side $c = 41$, height $h = 40$ and median $m = 45$. | 5 |
44 | Find the side $ c $ of a trapezoid if long base $a = 490$, short base $b = 100$ and angle $\alpha = 75^o$. | 5 |
45 | Find the side $ c $ of a trapezoid if long base $a = 26$, short base $b = 8$ and height $h = 9$. | 5 |
46 | Find the long base $ a $ of a trapezoid if long base $a = 15$, side $c = 7$ and angle $\alpha = 60^o$. | 5 |
47 | Find the of a trapezoid if angle $\beta = 122^o$. | 5 |
48 | Find the long base $ a $ of a trapezoid if short base $b = 18$, height $h = 10$ and angle $\beta = 45^o$. | 5 |
49 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = 6$, height $h = \frac{ 59 }{ 10 }$ and angle $\alpha = 80^o$. | 5 |
50 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 21$, side $c = 40$ and diagonal $d = 39$. | 5 |