Question
Download Solution PDFIf the angles of a triangle are in the ratio of 1 ∶ 2 ∶ 3, what is the type of such triangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of the angles = 1 : 2 : 3
Concept used:
The sum of all angles of the triangle is 180°
Calculations:
Let 1st angle be x
⇒ 2nd angle = 2x
⇒ 3rd angle = 3x
Now,
⇒Sum of angles = 180
⇒ x + 2x + 3x = 180
⇒ 6x = 180
⇒ x = 30°
Angles will be
⇒ 1st angle = x = 30°
⇒ 2nd angle = 2x = 2 \(\times\) 30 = 60°
⇒ 3rd angle = 3x = 3 \(\times\) 30 = 90°
Here, One angle is 90, so the triangle is right angled triangle
⇒ Hence, The triangle is right angle triangle
Last updated on Jul 8, 2025
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