Chapter 10: Q5. (page 388)

Refer to the diagram in which the medians of a triangle are shown.
If $P B = 1.9,$ then $A B = ?, A P = ?$ .

Short Answer

Expert verified

$A P = 3.8, A B = 5.7$

Step by step solution

Step 1. Given information:

Medians of the triangles are shown in the given figure:

$P B = 1.9$

Step 2. Concept used.

Centroid and median relation of a triangle.

Step 3. applying the concept.

Medians divide the midpoint in the ratio $2 : 1$ .

Here, $\frac{A P}{B P} = \frac{2}{1} .$

Here,

role="math" localid="1649119919240" $\frac{A P}{P B} = \frac{2}{1}$

$\begin{matrix} ∴ A P = \frac{2}{1} \times 1.9 \\ = 3.8 \\ A B = A P + P B \\ = 3.8 + 1.9 \\ = 5.7 \end{matrix}$

Therefore the final answer is $5.7$

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Refer to the diagram in which the medians of a triangle are shown.
If $P B = 1.9,$ then $A B = ?, A P = ?$ .

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.If PB=1.9,then AB=?,AP=? .

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

Discrete Mathematics

Pure Maths

Applied Mathematics

Logic and Functions

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Refer to the diagram in which the medians of a triangle are shown.
If $P B = 1.9,$ then $A B = ?, A P = ?$ .