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Chapter 10: Q5. (page 378)

Using any convenient length for a side, construct an equilateral triangle.

Short Answer

Expert verified

ΔABC is the equilateral triangle.

Step by step solution

01

Step 1. Given information.

In a triangle, convenient length for a side is given.

02

Step 2. Concept used.

Take a convenient measure on AB¯.

Take Aas center draw an arc with same measure of AB¯.

Point at which both the arcs interest, mark it as C.

Draw a segment from Ato Cand Bto C.

03

Step 3. Identify the triangle.

Here in ΔABCwhere all sides are equal.

So, it is equilateral triangle.

04

Step 4. Construct the triangle.

This is how one can constrict an equilateral triangle as shown in the figure below,

Therefore, ΔABC is a equilateral triangle.

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Most popular questions from this chapter

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

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

Draw a segment and let its length be 1.

a. Construct a segment of length 5.

b. Construct a segment of length 12+52, or 1+52.

c. Construct a golden rectangle whose sides are in the ratio 1:1+52.

a

Draw a diagram roughly like the one shown. Without laying your straightedge across any part of the lake, construct more of RS→.

Draw any AB¯.

a. Construct XY¯ so that XY=AB.

b. Using X and Y as centers, and a radius equal to AB, draw arcs that intersect. Label the point of intersection Z.

c. Draw XZ¯ and YZ¯.

d. What kind of triangle is ΔXYZ?
See all solutions

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