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Sure. That's true of a median in every isosceles triangle,

and every median in an equilateral triangle.

In fact it is true for any median of any triangle. The two parts may not be the same shapes but they will have the same area. That is why the point where the three medians meet (centroid) is the centre of mass of a triangular lamina of uniform thickness.

Q: Can a median divide a triangle in equal area?

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Each median divides the area of a triangle into halves.

If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.

yes

you do it because the triangle is half the size of the parallelogram

in a triangle double area and divide by base in a rectangle divide area by base

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Each median divides the area of a triangle into halves.

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We know that diagonals of parallelogram bisect each other. Therefore, O is the mid-point of AC and BD. BO is the median in ΔABC. Therefore, it will divide it into two triangles of equal areas. Area (ΔAOB) = Area (ΔBOC) ... (1) In ΔBCD, CO is the median. Area (ΔBOC) = Area (ΔCOD) ... (2) Similarly, Area (ΔCOD) = Area (ΔAOD) ... (3) From equations (1), (2), and (3), we obtain Area (ΔAOB) = Area (ΔBOC) = Area (ΔCOD) = Area (ΔAOD) Therefore, it is evident that the diagonals of a parallelogram divide it into four triangles of equal area.

Divide the base of the triangle into five equal lengths. Draw lines from the opposite vertex to each of these dividing points. The triangle will be divided into five parts, each with the same area. The base is 1/5 of the original base, and they all have the same height - the same as in the original triangle.

To get the area of a triangle you multiply length by width and divide by two.

If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.

yes

To find the area of a triangle, you have to multiply the base of the triangle and the height of the triangle, then divide the product of those numbers by two.

you do it because the triangle is half the size of the parallelogram

Draw a diagonal to divide it into two triangles; find the area of each triangle and add the answers.

in a triangle double area and divide by base in a rectangle divide area by base

No, you divide it by two.