Sum of three altitudes of a triangle is ____ the sum of its three sides.

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Detailed Solution

Sum of three altitudes of a triangle is less than the sum of its three sides.
It is given that the sum of

3

altitudes.
Question Image

We know that, the side opposite to greater angle is longer.
And , we also know that, the angle covered by the altitude is less than the angle covered by sides and hence, the sum of

3

altitudes of a triangle is less than the sum of its

3

sides.
Hence, the required answer is “less than.”

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