How do you find the midpoint of an equilateral triangle?

Step 1: Find the midpoint of all the three sides of the triangle. Step 2: Draw a perpendicular from midpoint to the opposite vertex. This perpendicular line is called the median. Step 3: These three medians meet at a point.

What is midpoint theorem of a triangle?

What does the midpoint theorem state? The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

How do you find the center of a triangle?

If you draw lines from each corner (or vertex) of a triangle to the midpoint of the opposite sides, then those three lines meet at a center, or centroid, of the triangle. The centroid is the triangle’s center of gravity, where the triangle balances evenly.

What is the formula of equilateral?

The formula for the area of an equilateral triangle is given as: Area of Equilateral Triangle (A) = (√3/4)a2. Where a = length of sides. Learn more about isosceles triangles, equilateral triangles and scalene triangles here.

What is the perimeter of an equilateral?

The perimeter of any polygon is the sum of its side lengths. In an equilateral triangle, all of the sides are congruent (they are the same length). Thus, if an equilateral triangle has a side length of 2 , the perimeter is 2+2+2 because all of its sides are 2 .

How do you find the area of a equilateral triangle with height?

The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60o angle. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.

What is the distance of a side of a triangle from the Centre of the circle of an equilateral triangle of side 20cm inscribed in a circle?

Here, side is 20 cm. And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle. alternatively 2rcos(30)=a and r=5.77 cm.

What is the length of an equilateral triangle inscribed in the circle?

Total length BC= BD+DC. BC=2×3√3=6√3cm. Note: If the question was given for isosceles triangle instead of equilateral triangle, the OA≠OB≠OC ≠radius.