Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3001 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 9 }{ 2 }$ and side $c = \frac{ 9 }{ 2 }$. | 2 |
| 3002 | Find the long base $ a $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\beta = \frac{ 57 }{ 4 }^o$. | 2 |
| 3003 | Find the short base $ b $ of a trapezoid if long base $a = 43$, side $c = \frac{ 53 }{ 16 }$ and height $h = \frac{ 53 }{ 4 }$. | 2 |
| 3004 | Find the of a trapezoid if long base $a = 60$, side $c = 23$ and height $h = \frac{ 43 }{ 2 }$. | 2 |
| 3005 | Find the angle $ \beta $ of a trapezoid if long base $a = 60$, side $c = 23$ and height $h = \frac{ 43 }{ 2 }$. | 2 |
| 3006 | Find the long base $ a $ of a trapezoid if long base $a = 96$, side $c = 60$ and angle $\alpha = 90^o$. | 2 |
| 3007 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 16$ and height $h = 14$. | 2 |
| 3008 | Find the long base $ a $ of a trapezoid if long base $a = 200$, short base $b = 250$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 2 |
| 3009 | Find the short base $ b $ of a trapezoid if long base $a = 36$, height $h = 15$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3010 | Find the long base $ a $ of a trapezoid if short base $b = 12$, side $c = 12$, diagonal $d = 12$ and height $h = 4$. | 2 |
| 3011 | Find the long base $ a $ of a trapezoid if short base $b = 12$, side $c = 12$ and height $h = 4$. | 2 |
| 3012 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 33 }{ 5 }$, side $c = \frac{ 253 }{ 4 }$ and angle $\alpha = 88^o$. | 2 |
| 3013 | Find the short base $ b $ of a trapezoid if long base $a = 110$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3014 | Find the short base $ b $ of a trapezoid if long base $a = 110$, short base $b = 43$ and angle $\alpha = 45^o$. | 2 |
| 3015 | Find the height $ h $ of a trapezoid if long base $a = 110$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3016 | Find the height $ h $ of a trapezoid if long base $a = 110$, short base $b = 43$ and angle $\alpha = 45^o$. | 2 |
| 3017 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 21 }{ 2 }$, side $c = 6$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3018 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 349 }{ 4 }$, short base $b = \frac{ 349 }{ 4 }$, side $c = 83$ and diagonal $d = \frac{ 96921 }{ 1000 }$. | 2 |
| 3019 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 349 }{ 4 }$, short base $b = \frac{ 349 }{ 4 }$, side $c = 83$, diagonal $d = \frac{ 96921 }{ 1000 }$ and height $h = \frac{ 45 }{ 2 }$. | 2 |
| 3020 | Find the short base $ b $ of a trapezoid if long base $a = 80$, height $h = 73$ and angle $\alpha = 75^o$. | 2 |
| 3021 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3022 | Find the long base $ a $ of a trapezoid if long base $a = 40$. | 2 |
| 3023 | Find the short base $ b $ of a trapezoid if long base $a = 40$. | 2 |
| 3024 | Find the of a trapezoid if long base $a = 62$, short base $b = 57$ and height $h = 4$. | 2 |
| 3025 | Find the long base $ a $ of a trapezoid if long base $a = 8$, side $c = 8$ and angle $\alpha = 60^o$. | 2 |
| 3026 | Find the side $ c $ of a trapezoid if long base $a = 32$, short base $b = 18$ and height $h = 12$. | 2 |
| 3027 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 20$, side $c = 20$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3028 | Find the long base $ a $ of a trapezoid if diagonal $d = 8$, height $h = 8$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3029 | Find the long base $ a $ of a trapezoid if short base $b = 8$, diagonal $d = 8$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3030 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 82589 }{ 50 }$, height $h = 125$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 2 |
| 3031 | Find the long base $ a $ of a trapezoid if median $m = 1600$, angle $\alpha = \frac{ 135 }{ 2 }^o$ and angle $\beta = \frac{ 225 }{ 2 }^o$. | 2 |
| 3032 | Find the long base $ a $ of a trapezoid if short base $b = 12$, side $c = 26$ and height $h = 24$. | 2 |
| 3033 | Find the long base $ a $ of a trapezoid if long base $a = 18$ and height $h = 8$. | 2 |
| 3034 | Find the long base $ a $ of a trapezoid if long base $a = 1$, side $c = \frac{ 1 }{ 40 }$, height $h = \frac{ 1 }{ 40 }$, angle $\alpha = 90^o$ and angle $\beta = 1^o$. | 2 |
| 3035 | Find the long base $ a $ of a trapezoid if long base $a = 200$, short base $b = 200$ and height $h = 200$. | 2 |
| 3036 | Find the side $ c $ of a trapezoid if long base $a = 119$, height $h = 18$ and perimeter $P = 297$. | 2 |
| 3037 | Find the side $ c $ of a trapezoid if long base $a = 119$, height $h = 1$ and perimeter $P = 297$. | 2 |
| 3038 | Find the short base $ b $ of a trapezoid if long base $a = 400$ and short base $b = 300$. | 2 |
| 3039 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = \frac{ 3 }{ 2 }$ and angle $\alpha = 68^o$. | 2 |
| 3040 | Find the long base $ a $ of a trapezoid if long base $a = 69$, short base $b = 38$ and height $h = 37$. | 2 |
| 3041 | Find the long base $ a $ of a trapezoid if short base $b = 12$, side $c = 24$ and height $h = 21$. | 2 |
| 3042 | Find the long base $ a $ of a trapezoid if long base $a = 22$, short base $b = 12$ and side $c = 10$. | 2 |
| 3043 | Find the of a trapezoid if short base $b = 12$, side $c = 24$ and height $h = 21$. | 2 |
| 3044 | Find the angle $ \beta $ of a trapezoid if short base $b = 12$, side $c = 24$ and height $h = 21$. | 2 |
| 3045 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 481 }{ 16 }$, side $c = \frac{ 143 }{ 8 }$ and height $h = \frac{ 277 }{ 16 }$. | 2 |
| 3046 | Find the of a trapezoid if long base $a = 182$, short base $b = 160$ and side $c = 230$. | 2 |
| 3047 | Find the area $ A $ of a trapezoid if long base $a = 8$, side $c = \frac{ 1 }{ 8 }$ and angle $\alpha = 90^o$. | 2 |
| 3048 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 8$ and angle $\alpha = 70^o$. | 2 |
| 3049 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 8$ and angle $\alpha = 70^o$. | 2 |
| 3050 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 8$, side $c = \frac{ 279 }{ 50 }$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
