Chapter 10: Q2. (page 388)

Refer to the diagram in which the medians of a triangle are shown.
Find the values of $x$ and $y$ .

Short Answer

Expert verified

$x = 6, y = 2.5$

Step by step solution

Step 1. Given information:

The given figure is:

Step 2. Concept used.

Centroid and median relation of a triangle.

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,

$\begin{matrix} x : 3 = 2 : 1 \\ \frac{x}{3} = \frac{2}{1} \\ x = 6 \end{matrix}$

Similarly,

$\begin{matrix} 5 : y = 2 : 1 \\ \frac{5}{y} = \frac{2}{1} \\ y = \frac{5}{2} \\ y = 2.5 \end{matrix}$

Therefore , the final answer is:

$x = 6, y = 2.5$

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Refer to the diagram in which the medians of a triangle are shown.
Find the values of $x$ and $y$ .

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used.

Step 3. applying the concept.

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Refer to the diagram in which the medians of a triangle are shown.Find the values of xand y .

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used.

Step 3. applying the concept.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Refer to the diagram in which the medians of a triangle are shown.
Find the values of $x$ and $y$ .