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प्रश्न
If the angles of a triangle are in the ratio 2: 4: 6; show that the triangle is a right-angled triangle.
उत्तर
Let the angles of a triangle be 2x, 4x and 6x.
Then, we have
2x + 4x + 6x = 180°
⇒ 12x = 180°
⇒ x = 15°
⇒ 2x = 2 x 15° = 30°
4x = 4 x 15° = 60°
6x = 6 x 15° = 90°
Since one angle is 90°, the triangle is a right-angled triangle.
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