Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7651 | Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 10$ and angle $\alpha = 90^o$. | 1 |
| 7652 | Find the long base $ a $ of a trapezoid if short base $b = 7$, height $h = 10$ and area $A = 100$. | 1 |
| 7653 | Find the area $ A $ of a trapezoid if side $c = 30$, height $h = \frac{ 136 }{ 5 }$ and angle $\alpha = 65^o$. | 1 |
| 7654 | Find the short base $ b $ of a trapezoid if side $c = 30$, height $h = \frac{ 136 }{ 5 }$ and angle $\alpha = 65^o$. | 1 |
| 7655 | Find the of a trapezoid if long base $a = 1600$, short base $b = 1500$ and height $h = 125$. | 1 |
| 7656 | Find the of a trapezoid if long base $a = 1600$, short base $b = 1500$ and height $h = 145$. | 1 |
| 7657 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = 55$ and height $h = 50$. | 1 |
| 7658 | Find the long base $ a $ of a trapezoid if long base $a = 6$, side $c = \frac{ 141 }{ 100 }$, height $h = 1$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7659 | Find the long base $ a $ of a trapezoid if long base $a = 6$, side $c = \frac{ 141 }{ 100 }$, diagonal $d = \frac{ 123269 }{ 20000 }$, height $h = 1$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7660 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 853 }{ 8 }$, angle $\alpha = 90^o$ and angle $\beta = 144^o$. | 1 |
| 7661 | Find the short base $ b $ of a trapezoid if long base $a = 6$, side $c = \frac{ 141 }{ 100 }$, height $h = 1$ and angle $\alpha = 45^o$. | 1 |
| 7662 | Find the short base $ b $ of a trapezoid if long base $a = 6$, side $c = \frac{ 141 }{ 100 }$ and angle $\alpha = 45^o$. | 1 |
| 7663 | Find the short base $ b $ of a trapezoid if long base $a = 6$, height $h = 1$ and angle $\alpha = 45^o$. | 1 |
| 7664 | Find the short base $ b $ of a trapezoid if long base $a = 6$, diagonal $d = \frac{ 123269 }{ 20000 }$ and angle $\alpha = 45^o$. | 1 |
| 7665 | Find the of a trapezoid if long base $a = 24$, short base $b = 11$ and height $h = 9$. | 1 |
| 7666 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 11$ and height $h = 9$. | 1 |
| 7667 | Find the angle $ \beta $ of a trapezoid if long base $a = 24$, short base $b = 11$ and height $h = 9$. | 1 |
| 7668 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 21 }{ 2 }$, side $c = 7$ and angle $\beta = 135^o$. | 1 |
| 7669 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 21 }{ 2 }$, side $c = 6$ and angle $\beta = 135^o$. | 1 |
| 7670 | Find the long base $ a $ of a trapezoid if long base $a = 6$ and height $h = 4$. | 1 |
| 7671 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 101 }{ 4 }$, short base $b = \frac{ 21 }{ 2 }$ and angle $\beta = 135^o$. | 1 |
| 7672 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 541 }{ 20 }$, short base $b = 17$ and side $c = \frac{ 709 }{ 100 }$. | 1 |
| 7673 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, height $h = \frac{ 13 }{ 10 }$ and angle $\beta = 120^o$. | 1 |
| 7674 | Find the of a trapezoid if long base $a = \frac{ 145 }{ 16 }$, short base $b = \frac{ 113 }{ 16 }$ and height $h = \frac{ 147 }{ 16 }$. | 1 |
| 7675 | Find the short base $ b $ of a trapezoid if long base $a = 4$ and side $c = 4$. | 1 |
| 7676 | Find the long base $ a $ of a trapezoid if short base $b = 4 \sqrt{ 3 }$, side $c = 4$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7677 | Find the short base $ b $ of a trapezoid if side $c = 4$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7678 | Find the long base $ a $ of a trapezoid if long base $a = 38$, side $c = 20$ and angle $\alpha = 90^o$. | 1 |
| 7679 | Find the short base $ b $ of a trapezoid if long base $a = 38$, side $c = 20$ and angle $\alpha = 90^o$. | 1 |
| 7680 | Find the long base $ a $ of a trapezoid if long base $a = 8$, side $c = 4$ and height $h = 2$. | 1 |
| 7681 | Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = 36$. | 1 |
| 7682 | Find the long base $ a $ of a trapezoid if short base $b = 8$, side $c = 4$ and angle $\beta = 45^o$. | 1 |
| 7683 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1 }{ 2 }$, height $h = 9$ and angle $\alpha = 45^o$. | 1 |
| 7684 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 994159 }{ 10000 }$, short base $b = \frac{ 981051 }{ 10000 }$, side $c = \frac{ 149903 }{ 2500 }$ and diagonal $d = \frac{ 1191623 }{ 10000 }$. | 1 |
| 7685 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 994159 }{ 10000 }$, short base $b = \frac{ 981051 }{ 10000 }$, side $c = \frac{ 600663 }{ 10000 }$ and diagonal $d = \frac{ 1191623 }{ 10000 }$. | 1 |
| 7686 | Find the long base $ a $ of a trapezoid if short base $b = 75$, height $h = 48$ and angle $\beta = 23^o$. | 1 |
| 7687 | Find the long base $ a $ of a trapezoid if short base $b = 75$, height $h = 48$ and angle $\beta = 113^o$. | 1 |
| 7688 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 573 }{ 16 }$, short base $b = \frac{ 571 }{ 16 }$, side $c = \frac{ 7 }{ 4 }$, height $h = \frac{ 7 }{ 4 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7689 | Find the angle $ \beta $ of a trapezoid if long base $a = 20$, short base $b = 5$ and side $c = 325$. | 1 |
| 7690 | Find the angle $ \beta $ of a trapezoid if long base $a = 40$, short base $b = 5$ and side $c = 325$. | 1 |
| 7691 | Find the area $ A $ of a trapezoid if long base $a = 36$, side $c = 18$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 7692 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 183 }{ 10 }$, short base $b = \frac{ 13 }{ 2 }$ and height $h = 5$. | 1 |
| 7693 | Find the short base $ b $ of a trapezoid if long base $a = 1892$, height $h = 655$ and median $m = 1536$. | 1 |
| 7694 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 2 }$, angle $\alpha = 25^o$ and angle $\beta = 155^o$. | 1 |
| 7695 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 11 }{ 2 }$, angle $\alpha = 25^o$ and angle $\beta = 155^o$. | 1 |
| 7696 | Find the of a trapezoid if long base $a = \frac{ 509 }{ 50 }$, short base $b = \frac{ 849 }{ 100 }$ and height $h = \frac{ 5 }{ 2 }$. | 1 |
| 7697 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 11 }{ 2 }$, height $h = \frac{ 7 }{ 2 }$, angle $\alpha = 25^o$ and angle $\beta = 115^o$. | 1 |
| 7698 | Find the long base $ a $ of a trapezoid if long base $a = 100$, side $c = 80$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7699 | Find the long base $ a $ of a trapezoid if long base $a = 61$, short base $b = 21$ and height $h = 185$. | 1 |
| 7700 | Find the of a trapezoid if long base $a = 61$, short base $b = 21$ and height $h = 185$. | 1 |
