Question

Find the verticesof the triangle formed by joining the midpoints of the sides of the triangle with vertices (3,3),(3,5) ,(2,4)

Answer 1

Answer:

Let A(3, 3) , B(3, 5) , C(2, 4).

Step-by-step explanation:

Let P, Q and R be vertices of the new ∆.

By using midpoint formula (section formula),

P(x, y) = (3+3/2 , 3+5/2 )

= (6/2 , 8/2)

P(x, y) = (3,4)

Q(x, y) = (3+2/2 , 5+4/2)

= ( 5/2 , 9/2 )

Q (x, y) = (2.5,4.5)

R(x, y) = (2+3/2 , 4+3/2)

= (5/2 , 7/2)

R(x, y) =(2.5,3.5)

The vertices of the new ∆ are P(3,4) ,Q(2.5 , 4.5) and R(2.5 , 3.5).