Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4101 | Find the long base $ a $ of a trapezoid if short base $b = 62\, \text{cm}$, side $c = 62\, \text{cm}$ and angle $\beta = 61^o$. | 2 |
| 4102 | Find the side $ c $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = \frac{ 461 }{ 8 }\, \text{in}$, side $c = \frac{ 573 }{ 4 }\, \text{in}$ and height $h = \frac{ 225 }{ 8 }\, \text{in}$. | 2 |
| 4103 | Find the long base $ a $ of a trapezoid if angle $\beta = 50^o$. | 2 |
| 4104 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, height $h = 3\, \text{ft}$ and angle $\beta = 50^o$. | 2 |
| 4105 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{in}$, side $c = 36\, \text{in}$ and median $m = 72\, \text{in}$. | 2 |
| 4106 | Find the long base $ a $ of a trapezoid if long base $a = 1070\, \text{mm}$, short base $b = 1580\, \text{mm}$ and side $c = 2070\, \text{mm}$. | 2 |
| 4107 | Find the long base $ a $ of a trapezoid if long base $a = 1580\, \text{mm}$, short base $b = 1070\, \text{mm}$ and height $h = 2070\, \text{mm}$. | 2 |
| 4108 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 3.5\, \text{ft}$, side $c = 4.6\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4109 | Find the long base $ a $ of a trapezoid if long base $a = 0.04\, \text{mi}$, short base $b = 0.027\, \text{cm}$ and height $h = 0.247\, \text{cm}$. | 2 |
| 4110 | Find the short base $ b $ of a trapezoid if long base $a = 47\, \text{in}$, short base $b = 36\, \text{in}$, side $c = 36\, \text{mm}$, median $m = 9\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4111 | Find the long base $ a $ of a trapezoid if long base $a = 799\, \text{mm}$ and short base $b = 678\, \text{mm}$. | 2 |
| 4112 | Find the long base $ a $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 130\, \text{mm}$ and height $h = 85\, \text{mm}$. | 2 |
| 4113 | Find the long base $ a $ of a trapezoid if short base $b = 27.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 112.5^o$. | 2 |
| 4114 | Find the side $ c $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and height $h = 7.5\, \text{mm}$. | 2 |
| 4115 | Find the side $ c $ of a trapezoid if long base $a = 86.75\, \text{in}$, height $h = 50.6\, \text{in}$, angle $\alpha = 70.5^o$ and angle $\beta = 109.5^o$. | 2 |
| 4116 | Find the short base $ b $ of a trapezoid if long base $a = 53\, \text{in}$, height $h = 3\, \text{in}$ and angle $\alpha = 70.5^o$. | 2 |
| 4117 | Find the short base $ b $ of a trapezoid if long base $a = 54\, \text{in}$, side $c = 141.5\, \text{in}$ and height $h = 139.5\, \text{in}$. | 2 |
| 4118 | Find the long base $ a $ of a trapezoid if long base $a = 1872\, \text{mi}$, short base $b = 1704\, \text{cm}$, side $c = 470\, \text{cm}$ and height $h = 470\, \text{cm}$. | 2 |
| 4119 | Find the long base $ a $ of a trapezoid if long base $a = 6.6\, \text{ft}$, short base $b = 2.5\, \text{cm}$ and side $c = 5.3\, \text{cm}$. | 2 |
| 4120 | Find the long base $ a $ of a trapezoid if long base $a = 0.375\, \text{dm}$, short base $b = 0.048\, \text{cm}$ and angle $\beta = 50^o$. | 2 |
| 4121 | Find the long base $ a $ of a trapezoid if long base $a = 136.3\, \text{ft}$, short base $b = 126.3\, \text{ft}$, side $c = 64.9\, \text{ft}$, diagonal $d = 186.591\, \text{ft}$ and height $h = 29.108\, \text{ft}$. | 2 |
| 4122 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4123 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 8\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4124 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 8\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4125 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 7.5\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4126 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 7.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4127 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 7.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4128 | Find the short base $ b $ of a trapezoid if long base $a = 29\, \text{mm}$, side $c = 11\, \text{mm}$ and diagonal $d = 11\, \text{mm}$. | 2 |
| 4129 | Find the short base $ b $ of a trapezoid if long base $a = 29\, \text{in}$, side $c = 11\, \text{in}$ and height $h = 2.5\, \text{in}$. | 2 |
| 4130 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{ft}$, short base $b = 24\, \text{ft}$ and side $c = 24\, \text{ft}$. | 2 |
| 4131 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4132 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 138\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4133 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 138\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 4134 | Find the height $ h $ of a trapezoid if long base $a = 113.37\, \text{cm}$, short base $b = 91.4\, \text{mm}$ and area $A = 784.4943\, \text{cm}^2$. | 2 |
| 4135 | Find the diagonal $ d $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 17\, \text{in}$. | 2 |
| 4136 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30.6\, \text{mm}$, short base $b = 29.6\, \text{mm}$ and height $h = 22\, \text{mm}$. | 2 |
| 4137 | Find the long base $ a $ of a trapezoid if long base $a = 29\, \text{in}$, short base $b = 38\, \text{in}$, side $c = 53.875\, \text{in}$, height $h = 53.875\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4138 | Find the long base $ a $ of a trapezoid if long base $a = 3.5915\, \text{mm}$, short base $b = 0.1499\, \text{mm}$ and height $h = 0.505\, \text{mm}$. | 2 |
| 4139 | Find the long base $ a $ of a trapezoid if angle $\alpha = 20^o$ and angle $\beta = 150^o$. | 2 |
| 4140 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 14.7\, \text{m}$, side $c = 9.15\, \text{m}$ and height $h = 8.5\, \text{m}$. | 2 |
| 4141 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 14.7\, \text{m}$ and height $h = 8.5\, \text{m}$. | 2 |
| 4142 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 1\, \text{mm}$ and height $h = 3\, \text{ft}$. | 2 |
| 4143 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$ and short base $b = 5\, \text{cm}$. | 2 |
| 4144 | Find the long base $ a $ of a trapezoid if short base $b = 0.96\, \text{mm}$, angle $\alpha = 50.9^o$ and angle $\beta = 129.1^o$. | 2 |
| 4145 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 17\, \text{mm}$ and height $h = 100\, \text{ft}$. | 2 |
| 4146 | Find the side $ c $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 17\, \text{mm}$ and height $h = 100\, \text{ft}$. | 2 |
| 4147 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 32\, \text{in}$. | 2 |
| 4148 | Find the long base $ a $ of a trapezoid if long base $a = 54\, \text{in}$, short base $b = 30\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 4149 | Find the long base $ a $ of a trapezoid if height $h = 148500000\, \text{km}$, angle $\alpha = 89.737^o$ and angle $\beta = 90.263^o$. | 2 |
| 4150 | Find the long base $ a $ of a trapezoid if short base $b = 72\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
