# Coordinates of a centroind

Let’s A = [3, 2, 0], B = [1, -2, 4] and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians).

Correct result:

x =  1.6667
y =  0.3333
z =  1.6667

#### Solution:

$y=\frac{{y}_{0}+{y}_{1}+{y}_{2}}{3}=\frac{2+\left(-2\right)+1}{3}=\frac{1}{3}=0.3333$
$z=\frac{{z}_{0}+{z}_{1}+{z}_{2}}{3}=\frac{0+4+1}{3}=\frac{5}{3}=1.6667$

Try calculation via our triangle calculator.

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
Looking for help with calculating arithmetic mean?
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Looking for a statistical calculator?
Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• Company logo
The company logo consists of a blue circle with a radius of 4 cm, which is an inscribed white square. What is the area of the blue part of the logo?
• Waste
How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?
• Flakes
A circle was described on the square, and a semicircle above each side of the square was described. This created 4 "flakes". Which is bigger: the content of the central square or the content of four chips?
• The trapezium
The trapezium is formed by cutting the top of the right-angled isosceles triangle. The base of the trapezium is 10 cm and the top is 5 cm. Find the area of trapezium.
• Circular ring
Square with area 16 centimeters square are inscribed circle k1 and described circle k2. Calculate the area of circular ring, which circles k1, k2 form.
• Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
• Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
• Area of a rectangle
Calculate the area of a rectangle with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.
• Ratio of sides
Calculate the area of a circle that has the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7.
• Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?