Question

The points B(3,3) and C(7,3) are connected to form the side BC of triangle ABC. If the vertex A of the triangle lies 4 units above the mid-point of the side BC, find the coordinates of A.

• A. B(5,5)
• B. A(5,7)
• C. C(6,5)
• D. D(5,6)

Answer 1

The correct option is B A(5,7)

Plotting the points B and C and connecting them, we get:


The mid-point of BC lies on the side BC and is at the same distance from both the vertices B and C. So, plotting the midpoint as M, we get:


Now, the vertex A of the triangle is 4 units above the mid-point M. So, plotting A, we get:


Now, connecting A, B and C, we get the triangle ABC as:


Hence, the correct coordinates of vertex A of the triangle are (5,7).