If in any triangle, the angles are in the ratio of 1 : 2 : 1, then what will be the ratio of its sides?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 1 : √(2) : 3
| Understanding | Application |
| The sum of angles of the given triangle is 180°. |
The ratio of the given angles of triangles is 1 : 2 : 1 which can be written as x, 2x & x ⇒ x + 2x + x = 180° ⇒ 4x = 180° ⇒ x = 45° The given triangle is a right-angled triangle so it has to satisfy the Pythagoras theorem. Which is satisfied is Option 3 only. |