Question 65

If the angles of a triangle are in the ratio of 2:3:5, then find the ratio of the greatest angle to the smallest angle.

Solution

Let the angles be 2x ,3x, 5x

2x+3x+5x=180.(sum of angles of triangle.is 180°)
12x=180

x=15

so ,largest angle is 75°

Smallest angle 30°

Ratio=75:30

=5:2

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