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Chapter 10: Q12. (page 374)

AU,炉BV炉and CW炉are the medians of螖ABC

If AP=x2and PU=2x, then x=?

Short Answer

Expert verified

The value of x is 4.

Step by step solution

01

Step 1. Given information.

AU炉,BV炉and CW炉are the medians of 螖ABC; AP=x2and PU=2x.

02

Step 2. Concept  Used.

Medians divide the midpoint in the ratio 2:1 from the vertex to the side.

03

Step 3. Let’s calculate the area & height of the rectangle.

Medians divide the midpoint in the ratio 2:1from the vertex to the side.

From this,

Here,

APPU=21AP=2PUx2=4xx=0orx=4

Therefore, x=0 is not possible (length can鈥檛 be zero), x=4 is the desired value.

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