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If BD=3, then CD= [blank] −−−−−−.Enter your answer as the number that correctly fills in the blank.

If BD=3, then CD= [blank] −−−−−−.Enter your answer as the number that correctly fills-example-1

1 Answer

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From the information given,

BA is congruent to AC

AD is common to triangle ABD and ACD

Since the two sides of triangle ABC are congruent, it means that the triangle is an isosceles triangle. Thus,

angle ABD = angle ACD

Triangle ABD and ACD are congruent. Thus, the corresponding sides are congruent

If BD = 3, then

CD = 3

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