Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2701 | Find the side $ c $ of a trapezoid if long base $a = 30\, \text{mm}$, short base $b = 25\, \text{mm}$, side $c = 50\, \text{mm}$ and height $h = 50\, \text{mm}$. | 2 |
| 2702 | Find the side $ c $ of a trapezoid if long base $a = 7\, \text{yd}$, short base $b = 5\, \text{yd}$ and side $c = 6\, \text{yd}$. | 2 |
| 2703 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 35\, \text{in}$ and height $h = 54\, \text{in}$. | 2 |
| 2704 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 4\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2705 | Find the long base $ a $ of a trapezoid if diagonal $d = 7\, \text{mm}$, perimeter $P = 63\, \text{mm}$ and angle $\alpha = 31^o$. | 2 |
| 2706 | Find the median $ m $ of a trapezoid if long base $a = 25\, \text{mm}$, angle $\alpha = 117^o$ and angle $\beta = 53^o$. | 2 |
| 2707 | Find the long base $ a $ of a trapezoid if area $A = 59\, \text{mm}^2$, perimeter $P = 37.3\, \text{mm}$ and angle $\alpha = 110^o$. | 2 |
| 2708 | Find the long base $ a $ of a trapezoid if height $h = 54\, \text{mm}$, median $m = 38\, \text{mm}$ and angle $\beta = 99^o$. | 2 |
| 2709 | Find the area $ A $ of a trapezoid if height $h = 54\, \text{mm}$, median $m = 38\, \text{mm}$ and angle $\beta = 99^o$. | 2 |
| 2710 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{m}$, short base $b = 6\, \text{m}$ and side $c = 1.58\, \text{m}$. | 2 |
| 2711 | Find the long base $ a $ of a trapezoid if long base $a = 37\, \text{ft}$, short base $b = 32\, \text{ft}$, side $c = 19\, \text{ft}$, diagonal $d = 22\, \text{ft}$, height $h = 22\, \text{ft}$ and median $m = 22\, \text{ft}$. | 2 |
| 2712 | Find the long base $ a $ of a trapezoid if long base $a = 160\, \text{m}$, short base $b = 86\, \text{m}$ and height $h = 91\, \text{m}$. | 2 |
| 2713 | Find the long base $ a $ of a trapezoid if long base $a = 59\, \text{in}$, side $c = 69\, \text{in}$ and diagonal $d = 77\, \text{in}$. | 2 |
| 2714 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{m}$ and height $h = 0.5\, \text{m}$. | 2 |
| 2715 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{m}$, height $h = 0.5\, \text{m}$ and angle $\alpha = 26.57^o$. | 2 |
| 2716 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{m}$, height $h = 0.5\, \text{m}$ and angle $\beta = 26.57^o$. | 2 |
| 2717 | Find the long base $ a $ of a trapezoid if long base $a = 57.51\, \text{in}$, short base $b = 36.5\, \text{in}$, side $c = 15.115\, \text{in}$, diagonal $d = 14.597\, \text{mm}$ and height $h = 10.5\, \text{in}$. | 2 |
| 2718 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{mm}$, short base $b = 22\, \text{mm}$ and height $h = 11\, \text{mm}$. | 2 |
| 2719 | Find the area $ A $ of a trapezoid if long base $a = 298.32\, \text{ft}$, short base $b = 100\, \text{ft}$, side $c = 447.42\, \text{ft}$ and height $h = 436.29\, \text{ft}$. | 2 |
| 2720 | Find the height $ h $ of a trapezoid if short base $b = 10\, \text{mm}$, side $c = 12\, \text{mm}$ and angle $\beta = 119^o$. | 2 |
| 2721 | Find the height $ h $ of a trapezoid if short base $b = 10\, \text{in}$, side $c = 12\, \text{in}$ and angle $\beta = 119^o$. | 2 |
| 2722 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, side $c = 12\, \text{in}$ and height $h = 10.5\, \text{in}$. | 2 |
| 2723 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1.312\, \text{in}$, short base $b = 0.703\, \text{in}$ and height $h = 0.656\, \text{in}$. | 2 |
| 2724 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1.375\, \text{in}$, short base $b = 0.703\, \text{in}$ and height $h = 0.656\, \text{in}$. | 2 |
| 2725 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 2726 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$ and short base $b = 10\, \text{mm}$. | 2 |
| 2727 | Find the height $ h $ of a trapezoid if long base $a = 2.3\, \text{mm}$, short base $b = 1.7\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 2728 | Find the short base $ b $ of a trapezoid if long base $a = 143\, \text{in}$, height $h = 9.6563\, \text{ft}$ and angle $\alpha = 65^o$. | 2 |
| 2729 | Find the short base $ b $ of a trapezoid if long base $a = 143\, \text{in}$, height $h = 9.6563\, \text{ft}$ and angle $\alpha = 25^o$. | 2 |
| 2730 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{ft}$, short base $b = 11\, \text{ft}$, side $c = 32\, \text{ft}$ and perimeter $P = 117\, \text{ft}$. | 2 |
| 2731 | Find the angle $ \beta $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 13\, \text{mm}$ and height $h = 28\, \text{mm}$. | 2 |
| 2732 | Find the angle $ \beta $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 13\, \text{mm}$ and side $c = 28\, \text{mm}$. | 2 |
| 2733 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 57.2^o$. | 2 |
| 2734 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 32.8^o$. | 2 |
| 2735 | Find the angle $ \beta $ of a trapezoid if long base $a = 3\, \text{ft}$, short base $b = 2\, \text{ft}$ and height $h = 18\, \text{in}$. | 2 |
| 2736 | Find the angle $ \alpha $ of a trapezoid if long base $a = 3\, \text{ft}$, short base $b = 2\, \text{ft}$ and height $h = 18\, \text{in}$. | 2 |
| 2737 | Find the angle $ \alpha $ of a trapezoid if long base $a = 16.5\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 9.625\, \text{in}$. | 2 |
| 2738 | Find the angle $ \beta $ of a trapezoid if long base $a = 12.5\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 5.75\, \text{in}$. | 2 |
| 2739 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12.5\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 5.75\, \text{in}$. | 2 |
| 2740 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2741 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2742 | Find the height $ h $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2743 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, side $c = 14\, \text{mm}$, height $h = 9.9\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2744 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 3\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 10\, \text{in}$, height $h = 9\, \text{in}$, median $m = 9\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 45^o$. | 2 |
| 2745 | Find the angle $ \beta $ of a trapezoid if long base $a = 54\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 35.75\, \text{in}$. | 2 |
| 2746 | Find the area $ A $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = \frac{ 1 }{ 2 }\, \text{mm}$ and height $h = 1\, \text{mm}$. | 2 |
| 2747 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, side $c = 4\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 2748 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$ and short base $b = 1\, \text{mm}$. | 2 |
| 2749 | Find the angle $ \beta $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 2750 | Find the height $ h $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
