Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 901 | Find the long base $ a $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 4 |
| 902 | Find the angle $ \beta $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 4 |
| 903 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$ and side $c = 7\, \text{mm}$. | 4 |
| 904 | Find the short base $ b $ of a trapezoid if long base $a = 300\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 905 | Find the long base $ a $ of a trapezoid if height $h = 212.6457\, \text{mm}$, area $A = 144001\, \text{mm}^2$, angle $\alpha = 70.584^o$ and angle $\beta = 19.416^o$. | 4 |
| 906 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$ and height $h = 0.61\, \text{mm}$. | 4 |
| 907 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\beta = 60^o$. | 4 |
| 908 | Find the long base $ a $ of a trapezoid if long base $a = 63.75\, \text{in}$, short base $b = 43.75\, \text{in}$ and side $c = 19.25\, \text{in}$. | 4 |
| 909 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 910 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 4\, \text{in}$. | 4 |
| 911 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 17\, \text{in}$, height $h = 42\, \text{in}$ and angle $\beta = 75^o$. | 4 |
| 912 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 913 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 914 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 915 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 112^o$. | 4 |
| 916 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 5.5\, \text{in}$, side $c = 5.5\, \text{in}$ and height $h = 5.3\, \text{mm}$. | 4 |
| 917 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 5.5\, \text{in}$ and side $c = 5.5\, \text{in}$. | 4 |
| 918 | Find the long base $ a $ of a trapezoid if long base $a = 13.5\, \text{in}$, short base $b = 11\, \text{mm}$ and side $c = 12\, \text{mm}$. | 4 |
| 919 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$ and side $c = 5\, \text{mm}$. | 4 |
| 920 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 8\, \text{ft}$. | 4 |
| 921 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{in}$ and height $h = 12\, \text{in}$. | 4 |
| 922 | Find the height $ h $ of a trapezoid if long base $a = 95\, \text{in}$, short base $b = 72\, \text{in}$ and side $c = 24\, \text{in}$. | 4 |
| 923 | Find the diagonal $ d $ of a trapezoid if long base $a = 72.625\, \text{mm}$, short base $b = 38.5\, \text{mm}$ and height $h = 45\, \text{mm}$. | 4 |
| 924 | Find the long base $ a $ of a trapezoid if short base $b = 14.6875\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 4 |
| 925 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, height $h = 18\, \text{mm}$ and angle $\alpha = 22.5^o$. | 4 |
| 926 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$, side $c = 9\, \text{mm}$ and height $h = 8\, \text{mm}$. | 4 |
| 927 | Find the side $ c $ of a trapezoid if long base $a = 242\, \text{cm}$, short base $b = 148.5\, \text{cm}$ and height $h = 51.5\, \text{cm}$. | 4 |
| 928 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 18267 }{ 10000 }$, short base $b = \frac{ 9133 }{ 10000 }$ and side $c = \frac{ 9133 }{ 10000 }$. | 4 |
| 929 | Find the short base $ b $ of a trapezoid if long base $a = 480$, height $h = 110$ and angle $\alpha = 120^o$. | 4 |
| 930 | Find the long base $ a $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 4 |
| 931 | Find the short base $ b $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 4 |
| 932 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\beta = 45^o$. | 4 |
| 933 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = \frac{ 711 }{ 25 }$ and height $h = 28$. | 4 |
| 934 | Find the long base $ a $ of a trapezoid if long base $a = 21.8125\, \text{in}$, short base $b = 19.375\, \text{in}$ and height $h = 13\, \text{in}$. | 4 |
| 935 | Find the area $ A $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 72^o$. | 4 |
| 936 | Find the long base $ a $ of a trapezoid if long base $a = 29\, \text{mm}$, short base $b = 17\, \text{mm}$, side $c = 15.2\, \text{mm}$ and height $h = 14\, \text{mm}$. | 4 |
| 937 | Find the short base $ b $ of a trapezoid if long base $a = 29.3\, \text{mm}$, height $h = 39\, \text{mm}$ and angle $\alpha = 80^o$. | 4 |
| 938 | Find the height $ h $ of a trapezoid if long base $a = 162\, \text{mm}$, short base $b = 175.5\, \text{mm}$ and side $c = 218.7\, \text{mm}$. | 4 |
| 939 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 12\, \text{mm}$. | 4 |
| 940 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 3.5\, \text{mm}$. | 4 |
| 941 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 6\, \text{cm}$ and area $A = 121\, \text{cm}$. | 4 |
| 942 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 24\, \text{mm}$. | 4 |
| 943 | Find the angle $ \beta $ of a trapezoid if long base $a = 2464.6\, \text{mm}$, short base $b = 1275.3\, \text{mm}$ and side $c = 1030\, \text{mm}$. | 4 |
| 944 | Find the long base $ a $ of a trapezoid if short base $b = 43\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 945 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 22.5\, \text{ft}$. | 4 |
| 946 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 7\, \text{mm}$ and angle $\alpha = 35^o$. | 4 |
| 947 | Find the area $ A $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 7\, \text{mm}$ and angle $\alpha = 35^o$. | 4 |
| 948 | Find the side $ c $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 30\, \text{in}$. | 4 |
| 949 | Find the angle $ \beta $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 30\, \text{in}$. | 4 |
| 950 | Find the median $ m $ of a trapezoid if long base $a = 25\, \text{cm}$ and short base $b = 17\, \text{cm}$. | 4 |
