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Equilateral Triangle side = 10

Enter Side (a)

Equilateral Triangle
  
Given an equilateral triangle with side (a) equal to 10, calculate the other relevant items in this triangle

Calculate Perimeter:

P = 3a
P = 3 x 10
P = 30

Calculate Semiperimeter s:

s  =  P
  2

s  =  30
  2

s = 15

Calculate Area (A):

A  =  a2√3
  4

A  =  102√3
  4

A  =  100√3
  4

A  =  173.20508075689
  4

A = 43.301270189222

Calculate Bisector

ha-ma-ta  =  a√3
  2

ha-ma-ta  =  17.320508075689
  2

ha-ma-ta = 8.6602540378444

Calc. Circumscribed Circle Radius

R  =  a√3
  3

R  =  17.320508075689
  3

R = 5.7735026918963

Calculate Inscribed Circle Radius

r  =  a√3
  6

r  =  17.320508075689
  6

r = 2.8867513459481

P = 30
s = 15
A = 10




What is the Answer?

P = 30
s = 15
A = 10

How does the Equilateral Triangle Calculator work?

Given a side (a), this calculates the following items of the equilateral triangle:
* Perimeter (P)
* Semi-Perimeter (s)
* Area (A)
* altitudes (ha,hb,hc)
* medians (ma,mb,mc)
* angle bisectors (ta,tb,tc)
* Circumscribed Circle Radius (R)
* Inscribed Circle Radius (r)
This calculator has 1 input.

What 3 formulas are used for the Equilateral Triangle Calculator?

  1. P = 3a
  2. s = ½P
  3. A = a22√3/4

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Equilateral Triangle Calculator?

altitude
segment from the vertex of a triangle ot the other side of the triangle
area
Number of square units covering the shape
equilateral triangle
A triangle with 3 equal sides
perimeter
The distance around a shape or object
radius
Distance from the center of a circle to the edge
C/2π
triangle
a flat geometric figure that has three sides and three angles

Example calculations for the Equilateral Triangle Calculator

  1. equilateral triangle side = 1
  2. equilateral triangle side = 2
  3. equilateral triangle side = 3
  4. equilateral triangle side = 4
  5. equilateral triangle side = 5
  6. equilateral triangle side = 6
  7. equilateral triangle side = 7
  8. equilateral triangle side = 8
  9. equilateral triangle side = 9
  10. equilateral triangle side = 10
  11. equilateral triangle side = 11
  12. equilateral triangle side = 12
  13. equilateral triangle side = 13
  14. equilateral triangle side = 14
  15. equilateral triangle side = 15
  16. equilateral triangle side = 16
  17. equilateral triangle side = 17
  18. equilateral triangle side = 18
  19. equilateral triangle side = 19
  20. equilateral triangle side = 20

Equilateral Triangle Calculator Video


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