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Chapter 10: Q3. (page 388)

Refer to the diagram in which the medians of a triangle are shown.

If AB=6,then BP=?,AP=? .

Short Answer

Expert verified

BP=2,AP=4

Step by step solution

01

Step 1. Given information:

Medians of the triangles are shown in the given figure:

02

Step 2. Concept used.

Centroid and median relation of a triangle.

03

Step 3. applying the concept.

Medians divide the midpoint in the ratio 2:1

Here,APBP=21

Thus,AP=2BP.

Also,

AB=AP+BP=3BPBP=AB3=2

Hence,AP=2BP=4

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