Question

Given:AB=BC
The longest segment shown is...

A. AB
B. AD
C. DC

Answer 1

The answer should be: C. DC

Answer 2

C. DC

Step-by-step explanation

AB = BC.

From the diagram, <DAB = <DBC = 60°

<ADB = 180 - (60 + 60)

= 180 - 120

= 60°

But we have been given angle BDC = 37.5°.

Since the angle BDC is smaller than ADN, the line AD is smaller than DC. AB = AD since triangle ABD is an equilateral triangle.

∴ The longest segment shown is DC.