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## What are 3 properties of an isosceles triangle?

An isosceles triangle is a triangle that: Has two congruent sides. Has congruent base angles. Has an altitude which: (1) meets the base at a right angle, (2) bisects the apex angle, and (3) splits the original isosceles triangle into two congruent halves.

## What is the function of isosceles triangle?

Isosceles triangles have been used as decoration from even earlier times, and appear frequently in architecture and design, for instance in the pediments and gables of buildings. The two equal sides are called the legs and the third side is called the base of the triangle.

Triangle

## What is centroid and how it is calculated?

The centre point of the object is what we refer to as the centroid. The point at which a triangle’s three medians intersect is called the centroid of the triangle. We can calculate the centroid by taking the average of the x-coordinates and the y-coordinates of the vertices of the triangle.

## How do you find the centroid of a region?

1. Find the area between the two curves in your given domain with. A=∫ba[f(x)−g(x)]dx. In your case, that is. A=∫20[2x−x2]dx.
2. Find ˉx, the x-coordinate of the centroid, with. ˉx=1A∫bax[f(x)−g(x)]dx. In your case, that is. ˉx=1A∫20x[2x−x2]dx.
3. Find ˉy, the y-coordinate of the centroid, with.

## What is the centroid of a region?

The center of mass or centroid of a region is the point in which the region will be perfectly balanced horizontally if suspended from that point.

## How do you find the integral of a centroid?

We divide the complex shape into rectangles and find x (the x-coordinate of the centroid) and y (the y-coordinate of the centroid) by taking moments about the y- and x-coordinates respectively. Because they are thin plates with a uniform density, we can just calculate moments using the area.

2021-06-13