Question

derive and determine the centroid of triangle of base b and height h​

Answer 1

Answer:

I don't understand the last part of the question, so I’ll describe how to find the centroid of any triangle.

Bisect any side. Draw a line through the midpoint and the corner opposite the side. Repeat with any other side. Your lines intersect at the centroid.

For any line that divides a shape into equal areas, the centroid must lie on that line. If you bisect the base [math]b[/math], then the two areas are each given by [math]\frac{1}{2}\frac{b}{2}h,[/math] so the areas are equal.

hope will be helpful ☺️

Answer 2

Answer:

The moment of inertia of a triangle with respect to an axis passing through its base, is given by the following expression: This can be proved by application of the Parallel Axes Theorem (see below) considering that triangle centroid is located at a distance equal to h/3 from base.