Chapter 10: Q27. (page 385)

Draw three noncollinear points $R, S,$ and $T .$ Construct a triangle whose sides have $R, S,$ and $T$ as midpoints.

Short Answer

Expert verified

The figure is,

Step by step solution

Step 1. Given information.

Three noncollinear points $R, S,$ and $T$ are given.

Step 2. Follow the ways.

Consider the following ways-

Draw a line joining $R$ and $T$ , since $R$ and $T$ are the mid points of two sides, $\bar{R T}$ is parallel to the third side for which $S$ is the midpoint.

Construct a line parallel to $\bar{R T}$ on point $S$ ,

by constructing $∠ 1 = ∠ T R S$ .

Since $\bar{R T}$ is half of the third side, open the compass and measures the line $\bar{R T}$ .

Put the compass needle on $S$ and cut both sides at points $B$ and $C$ .

Join the points $B$ and $C$ .

Join the points $B$ and $R$ , and extend the line such that $R$ is the midpoint of $\bar{A B}$ .

Similarly join the points $C$ and $T$ , and extend the line such that $T$ is the midpoint of $\bar{A C}$ .

Step 3. Construct the figure.

Therefore, the required figure drawn above.

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Draw three noncollinear points $R, S,$ and $T .$ Construct a triangle whose sides have $R, S,$ and $T$ as midpoints.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Follow the ways.

Step 3. Construct the figure.

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Draw three noncollinear points R,S,and T. Construct a triangle whose sides have R,S,and T as midpoints.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Follow the ways.

Step 3. Construct the figure.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Statistics

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Draw three noncollinear points $R, S,$ and $T .$ Construct a triangle whose sides have $R, S,$ and $T$ as midpoints.