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Chapter 10: Q21. (page 378)

Draw any 螖ABC. Construct 螖DEF so that 螖DEF~螖ABC and DE=2AB.

Short Answer

Expert verified

The required figure is,

Step by step solution

01

Step 1. Given information.

Consider that 螖ABC be the triangle as shown in below figure,

02

Step 2. Follow the ways.

Now, to construct 螖DEF 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

On your paper, draw two segments roughly like those shown. Use these segments in Exercise 1-4 to construct a segment having the indicated length. a+b

Exercise 3 suggests that you could construct other angles with certain measures. Name some.

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The perpendicular to l at P.

These exploratory exercises can be done using a computer with a program that draws and measures geometric figures.

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