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What is BC ?

Enter your answer in the box.
units

What is BC ? Enter your answer in the box. units-example-1
User Pokus
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2 Answers

4 votes
BC = 2(DF)
BC = 2(4)
BC = 8

answer
BC = 8
User Timbadu
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5 votes

Answer-


\boxed{\boxed{AC=8}}

Solution-

Triangle Midpoint Theorem-

The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

As given in the question,

AD = DB, so D is the mid point of AB,

FA = FC, so F is the mid point of AC.

Hence, DF is the line joining the midpoints of AB and AC.

Applying Triangle Midpoint Theorem,


\Rightarrow DF=(1)/(2)BC


\Rightarrow BC=2DF


\Rightarrow BC=2* 4


\Rightarrow BC=8

Therefore, the side length of BC is 8 units.

User Prajnaranjan Das
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8.1k points

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