Question

Triangle abc is isosceles. Solve for the length of the line segment connecting the midpoints of the two sides of equal length. A. 5 B. 5.5 C. 6 D. 5 square root of 2

Answer 1

From the given triangle, midpoint of AB = ((-2 + 3)/2, (0 + 6)/2) = (1/2, 3) and the midpoint of BC = ((3 + 8)/2, (6 + 0)/2) = (11/2, 3)
Length of the line segment joining points (1/2, 3) and (11/2, 3) is given by
l = sqrt[(11/2 - 1/2)^2 + (3 - 3)^2] = sqrt(5^2) = 5.

Therefore, option A is the correct answer.