What divides the triangle into three equal areas?

centroid
Another way to divide a triangle into three triangles of equal area is to find the centroid (the point where the medians intersect). After determining the centroid (point G below), construct the segments connecting the vertices to the centroid. The three triangle created are of equal area.

What divides a triangle into two equal triangles?

Hence the median of a triangle divides it into two triangles of equal areas.

What the point of intersection of the medians of a triangle called?

The centroid is the point of intersection of the medians in a triangle.

Does a median divides triangle into two equal areas?

Each median divides the area of the triangle in half; hence the name, and hence a triangular object of uniform density would balance on any median. (Any other lines which divide the area of the triangle into two equal parts do not pass through the centroid.)

What does AP inside a triangle mean?

1 Answer. 1. 0. Here it means arithmetic progression, so if the sides are a,b,c we have a+d=b,b+d=c for some d.

Does a median of a triangle divides it into two congruent triangles?

Explanation: The median of a triangle divides it into triangle of equal area. Hence, option (A) is the correct answer.

How do you find the point of intersection of a triangle?

When working in the coordinate plane, the coordinates of the centroid of a triangle can be found by taking the average of the x coordinates of the three vertices, and the average of the y coordinates of the three vertices. Add the x-coordinates and divide by 3. Add the y-coordinates and divide by 3.

Are medians of a triangle equal?

Medians of an Equilateral Triangle are Equal The length of medians in an equilateral triangle is always equal. Since the lengths of all sides in an equilateral triangle are the same, the length of medians bisecting these sides are equal.

How do you find the coordinates of a triangle with three corners?

Given three corner points of a triangle, and one more point P. Write a function to check whether P lies within the triangle or not. Let the coordinates of three corners be (x1, y1), (x2, y2) and (x3, y3). And coordinates of the given point P be (x, y)

How to check whether a point lies inside a triangle or not?

Check whether a given point lies inside a triangle or not. Given three corner points of a triangle, and one more point P. Write a function to check whether P lies within the triangle or not. Solution: Let the coordinates of three corners be (x1, y1), (x2, y2) and (x3, y3).

What do you call the three perpendicular bisectors of a triangle?

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency.

How do you find the area of a triangle?

1) Calculate area of the given triangle, i.e., area of the triangle ABC in the above diagram. Area A = [ x1 (y2 – y3) + x2 (y3 – y1) + x3 (y1-y2)]/2 2) Calculate area of the triangle PAB. We can use the same formula for this. Let this area be A1. 3) Calculate area of the triangle PBC. Let this area be A2. 4) Calculate area of the triangle PAC.