Question
Download Solution PDFIf the angles of a triangle are in the ratio of 9 ∶ 11 ∶ 16, then the difference between the greatest angle and the smallest angle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The angles of a triangle are in the ratio of 9 ∶ 11 ∶ 16.
Formula used:
Sum of angles in a triangle = 180º
Calculation:
Let the angles be 9x, 11x, and 16x.
Sum of angles = 9x + 11x + 16x = 180º
⇒ 36x = 180º
⇒ x = 5º
The greatest angle = 16x = 16 × 5º = 80º
The smallest angle = 9x = 9 × 5º = 45º
Difference between the greatest angle and the smallest angle = 80º - 45º = 35º
∴ The correct answer is option 4.
Last updated on Jun 3, 2025
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