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Chapter 10: Q2. (page 388)

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

Find the values of xand y .

Short Answer

Expert verified

x=6,y=2.5

Step by step solution

01

Step 1. Given information:

The given figure is:

02

Step 2. Concept used.

Centroid and median relation of a triangle.

03

Step 3. applying the concept.

As we know, the intersection of all the three medians of a triangle is called centroid of the triangle. Also, the centroid of a triangle divides the median in the ration 2 : 1.

From the given figure,

P is the centroid of the triangle since medians are given for the triangle.

Thus, from the centroid and median relation,

x:3=2:1x3=21x=6

Similarly,

5:y=2:15y=21y=52y=2.5

Therefore , the final answer is:

x=6,鈥嬧赌�y=2.5

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