X AABC is a right triangle with vertices at A(0,0), B(0,2b) and C(2,0). Point D(a, b) is the midpoint of
BC. Which of the following statements could be used to show that the midpoint of the hypotenuse of
any right triangle is equidistant from the vertices of the triangle?
(0,25)
D
.(a, b)
(0,0)
(200)
2a = 2b = 2c
(2a)? + (25)2 = (20)
10 - a)? + (26 – b)?
(2a - a)? + (0 - b)?
1
(a – 0)² + (6 - 0)²
(20 – 0)2 + (0 - 0)2 = V(0 - 0)2 + (26 – 0)2 = V(a – 0)2 + (6 - 0)2