Question

Find the length of median of triangle ABC drawn from A, where A(4,-8),

B(3,6) and C(5,-4) are vertices of triangle .
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Answer 1

Given: D is the midpoint of BC. So, BD = DC Then the coordinates of D are ⇒ x = 4 and y = 1 So, coordinates of D are (4, 1) Now, we have to find the coordinates of P. Given: AP/PD = 2/1 ⇒ m1 = 2 and m2 = 1 and (x1, y1) = (4, -8) ; (x2, y2) = (4, 1) Using the section formula for the internal division, i.e. Hence, the coordinates of P are P(x,y) = P(4, -2)Read more on Sarthaks.com - https://www.sarthaks.com/960975/if-a-and-are-the-vertices-of-abc-is-the-mid-point-of-bc-and-is-point-on-ad-joined-such-that-ap-pd?show=960982#a960982