Question

Which of the following constructions are crucial to draw inscribed circles on a given equilateral triangle

Answer 1

To draw a circle inscribed on a given triangle we usually follow the procedure given by:
construct a perpendicular line
construct another perpendicular line
where they cross is the center of the inscribed triangle. 
Place a compass at the center point and adjust it's length to one of the angles and and draw the circle.
Thus from the above we say the answer is:
Construct perpendicular

Answer 2

The following constructions are crucial in drawing inscribed circles:

• Construct an angle bisector
• Construct perpendicular lines

What is the procedure to follow in drawing inscribed circles on an equilateral triangle?

An inscribed circle is a circle drawn in a triangle. An equilateral triangle is a triangle with three equal sides and angles.

The procedure to follow in drawing inscribed circles in such an equilateral triangle is as follows:

• You need to construct an angle bisector at each angle of the triangle
• Where they meet at the center, is the center of the inscribed circle.
• Construct a straight perpendicular line, from the center to one side of the triangles
• Set the compass just on the center point, you can change the length to where the perpendicular intersects the triangle to fit in, and construct your inscribed circle.

Learn more about drawing inscribed circles in an equilateral triangle here:

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