The value of BD, obtained using the segment addition postulate is 6.6 units
The steps used to find the value of BD are as follows;
The dimensions in the diagram are;
EB = 7.4, CD = 3.3, and ED = 7.4
The triangles ΔEBC and ΔEDC are right triangles by the definition of right triangles, we get;
EC ≅ EC (Reflexive property of congruence)
ΔEBC ≅ ΔEDC (Hypotenuse Leg, LH congruence rule)
CD ≅ BC (Corresponding Parts pf Congruent Triangles are congruent)
CD = BC
BC = 3.3
BD = CD + BD (Segment addition postulate)
BD = 3.3 + 3.3
BD = 6.6
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