What is the formula for calculating the length of the median of an equilateral triangle?

Asked by Himanshi Jain | 8th Mar, 2011, 01:20: AM

Expert Answer:

Dear Student,
 
1. Length of the median of a triangle;
 

Step 1: Take all the given vertices of a triangle.

Step 2:  Calculate the midpoint of each edge of a triangle using the midpoint formula. The formula to calculate the midpoint between two points (x1, y1) and (x2, y2) is

Step 3: Now calculate the distance between one of the vertex and its opposite edge’s midpoint using    the distance formula. The formula to calculate the distance between two given points (x1, y1) and (x2, y2) is  

Step 4: Since all the length of the median of a triangle is same, calculate only one of the length of the median is enough.

 

 

2. Area of an equilateral triangle = Ö3 / 4 × Side2

 

Hope this helps!

 
Regards
Team Topperlearning.

 

Answered by  | 8th Mar, 2011, 09:02: AM

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