Question

Find the length of median ad if vertices are a 1, - 1 b - 46 and c - 3, - 5

Answer 1

Answer:

√17/2 units

Step-by-step explanation:

median AD divides BC into two equal lengths

BD= DC

D(x,y)

D is the midpoint of BC

by midpoint formula:

x= x1+x2/2 = -4 -3 /2

x= -7/2

y= y1+y2/2 = 6-5/2

y= 1/2

D(-7/2 , 1/2)

length of AD=

√(x2-x1)² + (y2-y1)²

= √(-7/2 -1)² + (1/2 +1)²

= √(-7-2/2)² + (1+2/2)²

= √ (-5/2)² + (3/2)²

=√ (25/4) + (9/4)

=√  (25+9/4)

=√ (34/4)

= √ 17/2 units