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 $a = 51.4375\, \text{in}$, short base $b = 51.375\, \text{in}$ and side $c = 90.5625\, \text{in}$. | 2 |
| 3902 | Find the angle $ \alpha $ of a trapezoid if long base $a = 50.9375\, \text{in}$, short base $b = 50.8125\, \text{in}$ and side $c = 90.5625\, \text{in}$. | 2 |
| 3903 | Find the angle $ \beta $ of a trapezoid if long base $a = 50.9375\, \text{in}$, short base $b = 50.8125\, \text{in}$ and side $c = 90.5625\, \text{in}$. | 2 |
| 3904 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 13\, \text{mm}$. | 2 |
| 3905 | Find the angle $ \alpha $ of a trapezoid if long base $a = 67\, \text{mm}$, short base $b = 87\, \text{mm}$ and height $h = 155\, \text{mm}$. | 2 |
| 3906 | Find the angle $ \alpha $ of a trapezoid if long base $a = 87\, \text{mm}$, short base $b = 67\, \text{mm}$ and height $h = 155\, \text{mm}$. | 2 |
| 3907 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, area $A = 10\, \text{mm}^2$ and angle $\alpha = 90^o$. | 2 |
| 3908 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{mm}$, area $A = 10\, \text{mm}^2$ and angle $\beta = 90^o$. | 2 |
| 3909 | Find the long base $ a $ of a trapezoid if short base $b = 17\, \text{in}$, side $c = 23\, \text{in}$, diagonal $d = \sqrt{ 818 }\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3910 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 3911 | Find the angle $ \alpha $ of a trapezoid if long base $a = 91.25\, \text{in}$, short base $b = 63.625\, \text{in}$ and side $c = 110\, \text{in}$. | 2 |
| 3912 | Find the angle $ \beta $ of a trapezoid if long base $a = 91.25\, \text{in}$, short base $b = 63.625\, \text{in}$ and side $c = 110\, \text{in}$. | 2 |
| 3913 | Find the long base $ a $ of a trapezoid if short base $b = 27\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3914 | Find the short base $ b $ of a trapezoid if long base $a = 17\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3915 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 3916 | Find the long base $ a $ of a trapezoid if long base $a = 31.2\, \text{mm}$, short base $b = 13\, \text{mm}$ and side $c = 16\, \text{mm}$. | 2 |
| 3917 | Find the short base $ b $ of a trapezoid if long base $a = 173.5\, \text{in}$ and height $h = 18\, \text{in}$. | 2 |
| 3918 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 2.5\, \text{mm}$, side $c = 3\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 3919 | Find the long base $ a $ of a trapezoid if short base $b = 23.375\, \text{in}$, side $c = 5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 2 |
| 3920 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$, side $c = 13\, \text{mm}$, diagonal $d = 37\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 3921 | Find the long base $ a $ of a trapezoid if long base $a = 27\, \text{mm}$, short base $b = 11\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 3922 | Find the long base $ a $ of a trapezoid if long base $a = 728.4\, \text{ft}$, short base $b = 212.5\, \text{ft}$ and side $c = 653.4\, \text{ft}$. | 2 |
| 3923 | Find the angle $ \alpha $ of a trapezoid if long base $a = 78\, \text{in}$, short base $b = 36\, \text{in}$ and height $h = 36.5\, \text{in}$. | 2 |
| 3924 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.25\, \text{in}$, short base $b = 0.187\, \text{in}$ and height $h = 0.125\, \text{in}$. | 2 |
| 3925 | Find the long base $ a $ of a trapezoid if long base $a = 9.5\, \text{in}$, height $h = 14.1875\, \text{in}$ and angle $\beta = 10^o$. | 2 |
| 3926 | Find the long base $ a $ of a trapezoid if long base $a = 180\, \text{cm}$, height $h = 25\, \text{cm}$, angle $\alpha = 125^o$ and angle $\beta = 145^o$. | 2 |
| 3927 | Find the long base $ a $ of a trapezoid if height $h = 25\, \text{cm}$, angle $\alpha = 125^o$ and angle $\beta = 145^o$. | 2 |
| 3928 | Find the short base $ b $ of a trapezoid if long base $a = 180\, \text{cm}$, height $h = 25\, \text{cm}$, angle $\alpha = 125^o$ and angle $\beta = 145^o$. | 2 |
| 3929 | Find the side $ c $ of a trapezoid if long base $a = 38\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 42\, \text{in}$. | 2 |
| 3930 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 44.27\, \text{in}$. | 2 |
| 3931 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 32\, \text{mm}$ and angle $\alpha = 21^o$. | 2 |
| 3932 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, side $c = 32\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3933 | Find the angle $ \alpha $ of a trapezoid if short base $b = 32\, \text{mm}$, height $h = 24\, \text{mm}$ and angle $\beta = 90^o$. | 2 |
| 3934 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 5\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 6\, \text{mm}$. | 2 |
| 3935 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 3936 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 7\, \text{cm}$. | 2 |
| 3937 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{in}$, side $c = 70\, \text{in}$, height $h = 70\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 15^o$. | 2 |
| 3938 | Find the side $ c $ of a trapezoid if long base $a = 42\, \text{in}$, side $c = 70\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 15^o$. | 2 |
| 3939 | Find the long base $ a $ of a trapezoid if short base $b = 415\, \text{mm}$, height $h = 50\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 3940 | Find the angle $ \alpha $ of a trapezoid if long base $a = 485\, \text{mm}$, short base $b = 415\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\alpha = 5^o$. | 2 |
| 3941 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$ and side $c = 8\, \text{ft}$. | 2 |
| 3942 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{ft}$, side $c = 6\, \text{ft}$, angle $\alpha = 167^o$ and angle $\beta = 13^o$. | 2 |
| 3943 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 8\, \text{ft}$ and side $c = 6\, \text{ft}$. | 2 |
| 3944 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{ft}$, side $c = 6\, \text{ft}$, angle $\alpha = 77^o$ and angle $\beta = 103^o$. | 2 |
| 3945 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{ft}$, short base $b = 85\, \text{ft}$ and side $c = 179\, \text{ft}$. | 2 |
| 3946 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 3947 | Find the long base $ a $ of a trapezoid if short base $b = 1890\, \text{mm}$, side $c = 550\, \text{mm}$, angle $\alpha = 51^o$ and angle $\beta = 129^o$. | 2 |
| 3948 | Find the side $ c $ of a trapezoid if long base $a = 424\, \text{mm}$, short base $b = 124\, \text{mm}$, height $h = 150\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 3949 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{in}$ and height $h = 3\, \text{in}$. | 2 |
| 3950 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{ft}$ and side $c = 7\, \text{ft}$. | 2 |
