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In triangle IJK , O is the intersection of the three medians . If IN = 12 find IK. please help

In triangle IJK , O is the intersection of the three medians . If IN = 12 find IK-example-1
User Jahaad
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1 Answer

2 votes

Answer:

IK = 24

Explanation:

Since is says that O is the point of intersection of the three medians (also known as centroid) the segment JN which passes through a vertex of the triangle, would have to be a median to segment IK.

Medians divide a segment into two congruent parts, so IN = NK = 12 as we are given IN = 12.

IK is the sum of the measure of IN and NK, so in other words:

IK = IN + NK = 12 + 12 = 24

User Sabera
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