Question

ZD, ZE, and ZF are the perpendicular bisectors of △ABC. Use that information to find the length of each segment. Note that the figure is not drawn to scale. adbecfz Given: ZF = 40, ZA = 83, AB = 158 Find: AD and ZB The line segment AD has length . The line segment ZB has length .

Answer 1

AD = 79

ZB = 86

Explanation:

If Z is at the intersection point of the perpendicular bisectors of the sides of the triangle, it is the "circumcenter", so is equidistant from the vertices.

ZB = ZA = 83

If D is the midpoint of AB, then ...

AD = AB/2 = 158/2 = 79