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Chapter 10: Q21. (page 378)

Draw any ΔABC. Construct ΔDEF so that ΔDEF~ΔABC and DE=2AB.

Short Answer

Expert verified

The required figure is,

Step by step solution

01

Step 1. Given information.

Consider that ΔABC be the triangle as shown in below figure,

02

Step 2. Follow the ways.

Now, to construct ΔDEF follow the following ways,

Draw a line segment DEof 4cm.

With Das center and radius more than half draw arc on side of DE.

With Eas center and same radius as in line 2.

Draw arc cutting the previous arc at F.

Join point Fso that DF is 2cm and EF is 2cm.

03

Step 3. Construct the figure.

Consider the fact that DE=2AB=4cm

Therefore, by Side angle side property one can say that two triangles are similar.

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Most popular questions from this chapter

Draw any large ΔABC and construct equilateral triangles on each of the sides as shown.

  1. In each of the three equilateral triangles, construct any two medians and find their point of intersection.
  2. Draw the three segments connecting these three points of intersection.
  3. What appears tobe true about the triangle you drew in part (b)?

On your paper, draw two angles roughly like those shown. Then for Exercise 11-14 construct an angle having the indicated measure. 34x

The construction of the following triangle whose sides are in the ratio 1:2:5.

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

The parallel to ED↔through F.
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