Oblique Triangle
(the database of solved problems)
All the problems and solutions shown below were generated using the Oblique Triangle Calculator.
| ID |
Problem |
Count |
| 1 | Find the side $ a $ of a triangle if side $a = 3$, side $b = 5$ and angle $\alpha = 52^o$. | 59 |
| 2 | Find the side $ a $ of a triangle if side $b = 6$, angle $\alpha = 20^o$ and angle $\gamma = 110^o$. | 54 |
| 3 | Find the angle $ \alpha $ of a triangle if side $a = 15$, side $b = 10 \sqrt{ 5 }$ and side $c = 15$. | 50 |
| 4 | Find the angle $ \gamma $ of a triangle if side $a = 104$, angle $\alpha = 42^o$ and angle $\beta = 36^o$. | 40 |
| 5 | Find the angle $ \alpha $ of a triangle if side $a = 15$, side $b = 10 \sqrt{ 5 }$ and side $c = 15$. | 40 |
| 6 | Find the side $ a $ of a triangle if side $b = 7$, side $c = 5$ and angle $\alpha = 65^o$. | 31 |
| 7 | Find the side $ a $ of a triangle if side $b = \frac{ 93 }{ 10 }$, side $c = 5$ and angle $\alpha = 112^o$. | 31 |
| 8 | Find the side $ a $ of a triangle if side $b = 50$, side $c = 100$ and angle $\gamma = 28^o$. | 30 |
| 9 | Find the side $ b $ of a triangle if side $a = 490$, side $c = 524$ and angle $\beta = 75^o$. | 30 |
| 10 | Find the side $ c $ of a triangle if side $a = 9$, side $b = 15$ and angle $\gamma = 66^o$. | 27 |
| 11 | Find the side $ a $ of a triangle if side $b = 6$, angle $\alpha = 30^o$, angle $\beta = 90^o$ and angle $\gamma = 60^o$. | 25 |
| 12 | Find the side $ a $ of a triangle if side $a = 48$, side $b = 49$ and angle $\beta = 38^o$. | 25 |
| 13 | Find the side $ b $ of a triangle if side $a = 24$, side $c = 18$ and angle $\alpha = 127^o$. | 25 |
| 14 | Find the angle $ \gamma $ of a triangle if side $b = 6$, side $c = 4$ and angle $\alpha = 85^o$. | 24 |
| 15 | Find the angle $ \beta $ of a triangle if side $b = 15$, side $c = 120$ and angle $\alpha = 58^o$. | 23 |
| 16 | Find the side $ c $ of a triangle if side $a = 8$, side $b = 11$ and angle $\alpha = 35^o$. | 23 |
| 17 | Find the side $ a $ of a triangle if side $b = 15$, angle $\alpha = 81^o$ and angle $\gamma = 40^o$. | 22 |
| 18 | Find the angle $ \alpha $ of a triangle if side $a = \frac{ 9 }{ 2 }$, side $b = 8$ and angle $\gamma = 130^o$. | 22 |
| 19 | Find the side $ c $ of a triangle if side $a = 563$, side $b = 490$ and angle $\gamma = 73^o$. | 21 |
| 20 | Find the side $ a $ of a triangle if side $a = 13$, side $b = 14$ and side $c = 17$. | 21 |
| 21 | Find the angle $ \gamma $ of a triangle if side $a = 52$, side $b = 28$ and side $c = 25$. | 21 |
| 22 | Find the angle $ \beta $ of a triangle if side $a = 5$, side $b = 7$ and side $c = 3$. | 20 |
| 23 | Find the side $ a $ of a triangle if side $c = 7$, angle $\alpha = 81^o$ and angle $\gamma = 40^o$. | 20 |
| 24 | Find the side $ b $ of a triangle if side $a = 14$, angle $\beta = 30^o$ and angle $\gamma = 120^o$. | 19 |
| 25 | Find the angle $ \alpha $ of a triangle if side $a = 15$, side $b = 11$ and side $c = 7$. | 18 |
| 26 | Find the angle $ \beta $ of a triangle if side $a = 16$, side $b = 20$ and side $c = 32$. | 18 |
| 27 | Find the side $ c $ of a triangle if side $b = 3$, angle $\beta = 58^o$ and angle $\gamma = 62^o$. | 18 |
| 28 | Find the angle $ \alpha $ of a triangle if side $a = 25$, side $c = 15$ and angle $\gamma = 30^o$. | 18 |
| 29 | Find the angle $ \beta $ of a triangle if side $a = 11$, side $b = 16$ and side $c = 12$. | 17 |
| 30 | Find the side $ c $ of a triangle if side $a = 10$, side $b = \frac{ 661 }{ 50 }$ and angle $\gamma = \frac{ 419 }{ 20 }^o$. | 17 |
| 31 | Find the side $ a $ of a triangle if side $b = 10$, side $c = 12$ and angle $\alpha = 50^o$. | 17 |
| 32 | Find the angle $ \alpha $ of a triangle if side $b = 14$, side $c = 16$ and angle $\beta = 154^o$. | 17 |
| 33 | Find the side $ a $ of a triangle if side $a = 8$, side $b = 11$ and side $c = 5$. | 17 |
| 34 | Find the side $ a $ of a triangle if side $a = \frac{ 709 }{ 10 }$, side $c = \frac{ 174 }{ 5 }$ and angle $\alpha = \frac{ 69 }{ 2 }^o$. | 16 |
| 35 | Find the side $ a $ of a triangle if side $b = 31$, side $c = 32$ and angle $\gamma = 48^o$. | 16 |
| 36 | Find the side $ a $ of a triangle if side $a = \frac{ 9 }{ 2 }$, side $b = \frac{ 7 }{ 2 }$ and side $c = \frac{ 41 }{ 10 }$. | 16 |
| 37 | Find the side $ a $ of a triangle if angle $\alpha = 10^o$, angle $\beta = 8^o$ and angle $\gamma = 5^o$. | 15 |
| 38 | Find the side $ c $ of a triangle if side $a = 56$, side $b = 100$ and angle $\alpha = 8^o$. | 15 |
| 39 | Find the side $ c $ of a triangle if side $a = 6$, side $b = 4$ and angle $\alpha = 45^o$. | 15 |
| 40 | Find the side $ c $ of a triangle if side $b = 8$, angle $\alpha = 109^o$ and angle $\gamma = 25^o$. | 15 |
| 41 | Find the area $ A $ of a triangle if side $a = 225$, side $b = 130$, side $c = 106$, angle $\beta = 20^o$ and angle $\gamma = 16^o$. | 15 |
| 42 | Find the side $ a $ of a triangle if side $a = 40$, side $b = 52$ and angle $\alpha = 38^o$. | 14 |
| 43 | Find the side $ c $ of a triangle if side $a = 2$, angle $\alpha = 60^o$, angle $\beta = 90^o$ and angle $\gamma = 30^o$. | 14 |
| 44 | Find the side $ a $ of a triangle if side $a = 1$, side $b = 2$ and side $c = 3$. | 14 |
| 45 | Find the side $ b $ of a triangle if side $a = \frac{ 23 }{ 5 }$, side $c = \frac{ 63 }{ 10 }$ and angle $\beta = 82^o$. | 14 |
| 46 | Find the side $ b $ of a triangle if side $a = 12$, angle $\alpha = 85^o$ and angle $\beta = 45^o$. | 14 |
| 47 | Find the angle $ \beta $ of a triangle if side $a = 21$, side $b = 18$ and angle $\gamma = 93^o$. | 14 |
| 48 | Find the angle $ \alpha $ of a triangle if side $a = 43$, side $b = \frac{ 231 }{ 5 }$ and side $c = \frac{ 563 }{ 10 }$. | 14 |
| 49 | Find the angle $ \alpha $ of a triangle if side $a = 535$, side $b = 340$ and angle $\gamma = 71^o$. | 14 |
| 50 | Find the side $ a $ of a triangle if side $a = 11$, side $b = 14$ and side $c = 15$. | 13 |