Question

Draw an equilateral triangle of height 3.6 cm. Draw another triangle similar to it such that its side is of the side of the first.

Answer 1

Answer:

ANSWER

First observe that the altitudes from any vertex to the opposite sides of an equilateral triangle are all of equal length. Hence we can define the height of an equilateral triangle as this common value of three altitudes.

Steps of construction

1. Draw any line segment XY.

2. Take any point M on XY. Draw ZM⊥XY.

3. With M as center and radius 3.2cm, draw an arc, cutting MZ at A.

4. Construct ∠MAB=30

∘

and ∠MAC=30

∘

, with B and C on XY.

Then ABC is the required triangle.

Answer 2

Answer:

draw an equilateral triangle of height 3.6 cm draw another triangle similar to it such that its sides is 2/3 of the side of the first