Question

ABC
is
sight angled triangle and O is
the midpoint of the side opposite to the right
angle. Explain why 0 is equidistant from A,
B ande. [The dotted lines are douwn
additionally to help you
D
G​

Answer 1

Solution:

Step-by-step explanation:

Draw lines AD and DC such that

AD || BC, AB || DC

AD = BC, AB=DC

ABCD is a rectangular as opposite sides are equal and parallel to each other and all the interior angles are 90\degree90°

In a rectangle diagonals are of equal length and also these bisect each other.

Hence,

AO=OC=BO=OD

Thus O is equidistant from A, B, and C.