Right Triangle
(the database of solved problems)
All the problems and solutions shown below were generated using the Right Triangle Calculator.
| ID |
Problem |
Count |
| 1 | Find the leg $ a $ of a right triangle if ???. | 27 |
| 2 | Find the leg $ b $ of a right triangle if leg $a = 500\, \text{cm}$ and angle $\alpha = 3^o$. | 25 |
| 3 | Find the angle $ \alpha $ of a right triangle if leg $a = \frac{ 3 }{ 8 }\, \text{cm}$ and leg $b = \frac{ 1 }{ 8 }\, \text{cm}$. | 23 |
| 4 | Find the hypotenuse $ c $ of a right triangle if leg $a = 18$ and leg $b = \frac{ 13 }{ 2 }$. | 23 |
| 5 | Find the angle $ \alpha $ of a right triangle if leg $a = 1$ and leg $b = 2$. | 23 |
| 6 | Find the angle $ \alpha $ of a right triangle if leg $a = 4$ and leg $b = 8$. | 20 |
| 7 | Find the angle $ \alpha $ of a right triangle if leg $a = 3$ and leg $b = 4$. | 19 |
| 8 | Find the leg $ a $ of a right triangle if leg $b = 9000\, \text{cm}$ and angle $\alpha = 10^o$. | 18 |
| 9 | Find the leg $ b $ of a right triangle if hypotenuse $c = 2 \sqrt{ 17 }$ and angle $\alpha = 30^o$. | 18 |
| 10 | Find the leg $ a $ of a right triangle if leg $a = 3$ and leg $b = 4$. | 17 |
| 11 | Find the leg $ a $ of a right triangle if leg $b = 8$ and hypotenuse $c = 17$. | 15 |
| 12 | Find the angle $ \alpha $ of a right triangle if leg $a = 8$ and hypotenuse $c = 14$. | 14 |
| 13 | Find the hypotenuse $ c $ of a right triangle if leg $b = 8$ and angle $\alpha = 60^o$. | 13 |
| 14 | Find the leg $ b $ of a right triangle if leg $a = 6$ and angle $\beta = 30^o$. | 13 |
| 15 | Find the hypotenuse $ c $ of a right triangle if leg $a = 51$ and leg $b = 140$. | 13 |
| 16 | Find the hypotenuse $ c $ of a right triangle if leg $a = 5$ and leg $b = 5$. | 12 |
| 17 | Find the angle $ \alpha $ of a right triangle if leg $a = 4$ and leg $b = 8$. | 12 |
| 18 | Find the hypotenuse $ c $ of a right triangle if leg $a = 3$ and leg $b = 4$. | 12 |
| 19 | Find the angle $ \alpha $ of a right triangle if angle $\beta = 30^o$. | 11 |
| 20 | Find the leg $ a $ of a right triangle if leg $a = 4$ and angle $\beta = 50^o$. | 11 |
| 21 | Find the leg $ a $ of a right triangle if hypotenuse $c = 40$ and angle $\alpha = 58^o$. | 11 |
| 22 | Find the hypotenuse $ c $ of a right triangle if leg $a = 8$ and angle $\alpha = 50^o$. | 10 |
| 23 | Find the leg $ b $ of a right triangle if leg $a = 4$ and angle $\beta = 50^o$. | 10 |
| 24 | Find the angle $ \beta $ of a right triangle if leg $b = 4$ and area $A = 90$. | 10 |
| 25 | Find the leg $ a $ of a right triangle if leg $b = 5$ and angle $\alpha = 30^o$. | 10 |
| 26 | Find the leg $ a $ of a right triangle if hypotenuse $c = \frac{ 1 }{ 2 }$ and angle $\beta = 20^o$. | 10 |
| 27 | Find the leg $ a $ of a right triangle if leg $b = 518\, \text{cm}$ and hypotenuse $c = 818\, \text{cm}$. | 10 |
| 28 | Find the angle $ \beta $ of a right triangle if leg $a = 3$ and area $A = 90$. | 10 |
| 29 | Find the leg $ a $ of a right triangle if leg $b = 10\, \text{cm}$ and angle $\alpha = 3^o$. | 10 |
| 30 | Find the hypotenuse $ c $ of a right triangle if leg $b = 15$ and angle $\alpha = 60^o$. | 10 |
| 31 | Find the leg $ a $ of a right triangle if leg $b = 4$ and hypotenuse $c = 5$. | 9 |
| 32 | Find the leg $ b $ of a right triangle if leg $a = 10$ and angle $\alpha = \frac{ 71 }{ 2 }^o$. | 9 |
| 33 | Find the leg $ a $ of a right triangle if leg $b = 24\, \text{cm}$ and angle $\alpha = \frac{ 188 }{ 5 }^o$. | 9 |
| 34 | Find the hypotenuse $ c $ of a right triangle if leg $a = 4$ and angle $\beta = 50^o$. | 9 |
| 35 | Find the angle $ \beta $ of a right triangle if leg $b = 4\, \text{cm}$ and angle $\alpha = 27^o$. | 9 |
| 36 | Find the angle $ \alpha $ of a right triangle if ???. | 9 |
| 37 | Find the leg $ b $ of a right triangle if leg $a = 7$ and hypotenuse $c = 16$. | 9 |
| 38 | Find the angle $ \beta $ of a right triangle if leg $a = 61$ and leg $b = 41$. | 9 |
| 39 | Find the leg $ a $ of a right triangle if leg $a = 12$ and hypotenuse $c = 15$. | 9 |
| 40 | Find the hypotenuse $ c $ of a right triangle if leg $a = 13$ and angle $\beta = 16^o$. | 9 |
| 41 | Find the angle $ \alpha $ of a right triangle if leg $b = 40$ and hypotenuse $c = 76$. | 9 |
| 42 | Find the hypotenuse $ c $ of a right triangle if leg $a = 84\, \text{cm}$ and leg $b = 320\, \text{cm}$. | 9 |
| 43 | Find the angle $ \beta $ of a right triangle if leg $a = \frac{ 37 }{ 2 }$ and hypotenuse $c = \frac{ 229 }{ 10 }$. | 9 |
| 44 | Find the angle $ \beta $ of a right triangle if leg $a = 2$ and leg $b = 1$. | 9 |
| 45 | Find the angle $ \alpha $ of a right triangle if leg $a = 21$ and leg $b = 25$. | 9 |
| 46 | Find the leg $ a $ of a right triangle if leg $b = 10$ and hypotenuse $c = 20$. | 9 |
| 47 | Find the leg $ b $ of a right triangle if hypotenuse $c = \sqrt{ 6 }$ and angle $\beta = 45^o$. | 9 |
| 48 | Find the leg $ a $ of a right triangle if hypotenuse $c = 37$ and angle $\alpha = 15^o$. | 9 |
| 49 | Find the hypotenuse $ c $ of a right triangle if leg $a = 12$ and leg $b = 12$. | 9 |
| 50 | Find the hypotenuse $ c $ of a right triangle if leg $b = 39$ and angle $\beta = 60^o$. | 9 |