The angles of triangle are such that one is average of other two, then the angles are:
1. π/6, π/3, π/2
2. π/3, π/3, π/2
3. π/6, π/3, π/4
4. π/2, π/2, π/3
Concept Used:
Sum of angles of triangle = 180 degrees
Solution:
As we know,
Checking all the options, we get
1. π/6, π/3, π/2 = 30, 60, and 90 = 180 degrees
2. π/3, π/3, π/2 = 60, 60, and 90 = 210 degrees
3. π/6, π/3, π/4 = 30, 60, and 45 = 135 degrees
4. π/2, π/2, π/3 = 90, 90, and 60 = 240 degrees
So, only Statement 1. is possible for this triangle which gives 180 degrees.
Thus, option(d) is correct.
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The angles of triangle are such that one is average of other two, then the angles are:
1. π/6, π/3, π/2
2. π/3, π/3, π/2
3. π/6, π/3, π/4
4. π/2, π/2, π/3
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