Question

Using the diagram below, calculate the length of GB if AB = 7 cm.

Answer 1

http://roads.advancedacademics.com/contentserver/content/roadssection/292242/questions/assessments/c-circles-exam/geometry_7_exam_12q.gif

Answer 2

picture above

Answer 3

GB = 3.5cm

ASSUMPTION:
AB is a straight line.

PROOF:
Line segments KA and KB are radii of the circle, and therefore the same length.
Triangles GKA and GKB are congruent by the HL (hypotenuse-leg) theorem of geometry.
Corresponding sides of congruent triangles are the same length,
therefore GA = GB,
so AB = GA + GB = GB + GB = 2 GB,
and GB = AB / 2 = 7 cm / 2 = 3.5 cm.

Answer 4

thanx