Question
Download Solution PDFThe angles of a triangle are in the ratio 1 : 2 : 3, then find the ratio of the corresponding sides.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The angles of a triangle are in the ratio 1 : 2 : 3.
Concept:
The sum of the angles in any triangle is 180°.
Calculation:
Let the angles be x, 2x, and 3x.
⇒ x + 2x + 3x = 180°
⇒ 6x = 180°
⇒ x = 30°
So, the angles are 30°, 60°, and 90°.
In a triangle with angles 30°, 60°, and 90°, the sides are in the ratio 1 : √3 : 2.
∴ The ratio of the corresponding sides is 1 : √3 : 2.
Last updated on Jun 17, 2025
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