Question

Find the length of the median drawn through A on BC of a triangle ABC whose vertices are A(7,-3), B(5 3), C(3, -1).
Class 10_CBSE_Co-ordinate Geometry

Answer 1

Answer:

• 5 units
• 5 units
• √10 units

Step-by-step explanation:

Given

• Vertices :

1. A (7 , -3)
2. B (5 , 3)
3. C (3 , -1)

To find

• Length of the medians of a triangle.

Solution

⇛ Let D, E, F be the mid points of BC, CA and AB respectively.

⇛ Then, the co-ordinates of these points are :

• D = (5 + 3/2) , (3 + (-1)/2)
• E = (3 + 7/2) , (-1 -3/2)
• F = (7 + 5/2) , (-3 + 3/2)

ie,, D(4 , 1) , E( 5 , -2) and F( 6 , 0)

Using distance formula :

↪ AD = √(7-4)² + (3-1)² = 5 units

↪ BE = √(5-5)² + (3-(-2)² = 5 units

↪ CF = √(6-3)² + (0-(-1)² = √10 units