Question

If A (3, 4), B (- 2, 3) and C (5, 6) are the vertices of a triangle ABC, find the
length of the median AD from A to BC. Also verify that area of △ABD is equal to
area of △ACD. PLS ANSWER IT PROPERLY...

Answer 1

AD is the median of ∆ABC.

So, D is the mid-point of BC.

D =

Length of the median AD =

Let A (3, 4), B (-2, 3), and D (1.5, 4.5) be the vertices of the triangle ABD.

By using the formula,Area of triangle, we obtain

Area of ΔABD

But area cannot be negative.

Area of ΔABD = 2

Let A (3, 4), C (5, 6), and D (1.5, 4.5) be the vertices of the triangle ABD.

By using the formula,Area of triangle, we obtain

Area of ΔACD

Area of ΔACD = 2