The Median Of A Triangle Divides It Into Two Dash. The two triangles ABD and ADC have the same area with equal heights and same base lengthsBDDC as D is the midpoint of BC since AD is the median of the triangle. Therefore the area of in the above figure.
To show that this is always true we can write a short proof. Area AC D. Jul 03 2019 Ex 73 5 You have studied in Class IX Chapter 9 Example 3 that a median of a triangle divides it into two triangles of equal areas.
Ive drawn an arbitrary triangle right over here and Ive also drawn its three medians median EB median FC and median ad and we know that where the three medians intersect at Point G right over here we call that the centroid what I want to do in this video is prove to you that the centroid is exactly 23 along the way of each median or another way to think about it we can pick any one of.
Draw line AN BC Proof. Hence option A is the correct answer. Hence BD DC. In the triangles.