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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

01

Step 1. Given information.

Three noncollinear pointsR,S,and Tare given.

02

Step 2. Follow the ways.

Consider the following ways-

Draw a line joining RandT, since Rand Tare the mid points of two sides, RT炉is parallel to the third side for which Sis the midpoint.

Construct a line parallel to RT炉on point S,

by constructing 鈭�1=鈭�TRS.

Since RT炉is half of the third side, open the compass and measures the line RT炉.

Put the compass needle on Sand cut both sides at points Band C.

Join the points Band C.

Join the points Band R, and extend the line such that Ris the midpoint of AB炉.

Similarly join the points Cand T, and extend the line such that Tis the midpoint of AC炉.

03

Step 3. Construct the figure.

Therefore, the required figure drawn above.

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Draw any AB炉.

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