Question

Katie wants to construct an equilateral triangle inscribed in Circle O with diameter AB. Which method should Katie use to construct an equilateral triangle inscribed in Circle O?construct a line perpendicular to an through point ab, construct exactly 6 congruent arcs on circle 0 with length of 0a construct exactlt 1 arc on circle o from a with lenght oa, construct a perpendicular bisecter of ab

Answer 1

In an equilateral triangle, are sides and all angles are equal.

All of the angles inside the triangle are equal to 60° each.

What we have to do is construct arcs in the circle with a length of 60° from 0, to ensure that the triangle we construct will have angles of 60°.

That is represented in the option

"construct exactly 6 congruent arcs on circle 0 with length of 0a "

Because if we construct 6 congruent arcs each one will measure:

`(360)/(6)=60`

60°, which is what we need for the equilateral triangle

Since each angle has a measure of 60°, we can take the triangle with length OA and draw an equilateral triangle

Answer: construct exactly 6 congruent arcs on circle 0 with length of 0a