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Chapter 10: Q5. (page 378)

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

Short Answer

Expert verified

螖ABC 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炉.

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

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 螖ABCwhere 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, 螖ABC is a equilateral triangle.

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Most popular questions from this chapter

A parallelogram with perpendicular diagonals is a ____.

Suppose you are given the three lengths shown and are asked to construct a triangle whose sides have lengths r,s,and t. Can you do so ? State the theorem from Chapter 6 that applies.

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

2. a. Draw any acute 鈻�ABC.Draw the perpendicular bisector of each side of the triangle. They should intersect in one point. Measure the distance from this point of intersection to each of the vertices of the triangle. What do you notice?

b. repeat using an obtuse triangle and a right triangle. Is the same result true for these triangles as well?

c. In a right triangle, the perpendicular bisectors of the sides intersect in what point?

Explain how you could construct a 30掳angle.

Given: RJ炉and SK炉are medians of 鈻�RST;

Xand Yare the midpoints of RG炉 and role="math" localid="1649117030551" SG.炉

  1. How are XY炉 and RS炉 related? Why?
  2. How are KJ炉 and RS炉 related? Why?
  3. How are KJ炉 and XY炉 related? Why?
  4. What special kind of quadrilateral is XYJK? why?
  5. Why does XG=GJ?
  6. Explain why RG=23RJ.
See all solutions

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