Question

117. If A(2, -3), B(3, 4) and C(-1, 5) are vertices of a
triangle, then the length of median through Ais
​

Answer 1

Answer:

given A (2 , -3) , B (3 , 4) and c = (-1 , 5)

Step-by-step explanation:

firstly calculate the mid point of BC (D)

= (x1 + y1) / 2 , ( x2 + y2 ) / 2

= (3 + (-1)) / 2 , ( 4 + 5) / 2

= ( 1 , 9/2)

D = (1 , 4.5)

length of the median passing through A is

= distance between A and D

=

√ ( (y2 - y1) ^ 2 + (x2 - x1) ^ 2)

here x1 = 2 y1 = -3 , x2 = 1 y2 = 4.5

= √ ( 56.25 + 1)

= √ 57.25

= 7.566372