Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3901 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 800\, \text{mm}$ and height $h = 750\, \text{mm}$. | 2 |
| 3902 | Find the angle $ \beta $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 800\, \text{mm}$ and height $h = 750\, \text{mm}$. | 2 |
| 3903 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{ft}$ and height $h = 5\, \text{ft}$. | 2 |
| 3904 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{ft}$, side $c = 2.2361\, \text{ft}$ and height $h = 5\, \text{ft}$. | 2 |
| 3905 | Find the long base $ a $ of a trapezoid if long base $a = 420\, \text{in}$, short base $b = 240\, \text{mm}$, side $c = 292\, \text{mm}$ and height $h = 292\, \text{mm}$. | 2 |
| 3906 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 150^o$. | 2 |
| 3907 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 3908 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 30^o$. | 2 |
| 3909 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 165^o$. | 2 |
| 3910 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 60^o$. | 2 |
| 3911 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 3912 | Find the long base $ a $ of a trapezoid if short base $b = 1905\, \text{cm}$ and side $c = 1880\, \text{mm}$. | 2 |
| 3913 | Find the side $ c $ of a trapezoid if long base $a = 1350\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 1079\, \text{mm}$. | 2 |
| 3914 | Find the long base $ a $ of a trapezoid if long base $a = 9.3\, \text{mm}$, short base $b = 6.8\, \text{mm}$ and perimeter $P = 40.1\, \text{mm}$. | 2 |
| 3915 | Find the side $ c $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 78\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3916 | Find the side $ c $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 78\, \text{in}$ and height $h = 30\, \text{in}$. | 2 |
| 3917 | Find the long base $ a $ of a trapezoid if long base $a = 68.875\, \text{in}$, short base $b = 68.8125\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
| 3918 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 10.125\, \text{in}$ and angle $\alpha = 89.9032^o$. | 2 |
| 3919 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 18.5\, \text{in}$ and angle $\alpha = 89.8232^o$. | 2 |
| 3920 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.125\, \text{in}$, short base $b = 69.0938\, \text{in}$ and height $h = 10.125\, \text{in}$. | 2 |
| 3921 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 3922 | Find the long base $ a $ of a trapezoid if short base $b = 58.39\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 3923 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.1875\, \text{in}$, short base $b = 69.125\, \text{in}$ and height $h = 20.25\, \text{in}$. | 2 |
| 3924 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{mm}$, height $h = 24\, \text{mm}$ and angle $\alpha = 67.5^o$. | 2 |
| 3925 | Find the side $ c $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 3926 | Find the angle $ \beta $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 3927 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 36^o$. | 2 |
| 3928 | Find the short base $ b $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 54^o$. | 2 |
| 3929 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{in}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 2 |
| 3930 | Find the long base $ a $ of a trapezoid if height $h = 22\, \text{in}$, angle $\alpha = 98^o$ and angle $\beta = 82^o$. | 2 |
| 3931 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 3\, \text{mm}$. | 2 |
| 3932 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 4\, \text{mm}$. | 2 |
| 3933 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 3934 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 3935 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 3936 | Find the angle $ \beta $ of a trapezoid if long base $a = 8819\, \text{mm}$, short base $b = 5500\, \text{mm}$ and height $h = 2400\, \text{mm}$. | 2 |
| 3937 | Find the angle $ \beta $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 3938 | Find the short base $ b $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 3939 | Find the short base $ b $ of a trapezoid if long base $a = 9150\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 3940 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8820\, \text{mm}$, short base $b = 5500\, \text{mm}$, height $h = 2400\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 3941 | Find the short base $ b $ of a trapezoid if long base $a = 24.5\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 3942 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 2 |
| 3943 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3944 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$, height $h = 1460\, \text{mm}$, area $A = 101.7\, \text{mm}^2$ and angle $\alpha = 78.3^o$. | 2 |
| 3945 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$ and angle $\alpha = 78.3^o$. | 2 |
| 3946 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2 \sqrt{ 6 }\, \text{mm}$. | 2 |
| 3947 | Find the long base $ a $ of a trapezoid if short base $b = 170\, \text{cm}$ and side $c = 190\, \text{cm}$. | 2 |
| 3948 | Find the area $ A $ of a trapezoid if long base $a = 3.14\, \text{m}$, short base $b = 0.6\, \text{m}$ and side $c = 6.517\, \text{m}$. | 2 |
| 3949 | Find the height $ h $ of a trapezoid if long base $a = 3.14\, \text{mm}$, short base $b = 0.6\, \text{mm}$ and side $c = 6.517\, \text{mm}$. | 2 |
| 3950 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$ and side $c = 37.9\, \text{mm}$. | 2 |
