Question

12. The length of median of an Equilateral triangle is x cm, then it's area is




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Answer 1

Step-by-step explanation:

If the length of median of an equilateral triangle is xcm then its area is a. x2,b. (√32)x2,c.

Answer 2

If x is the length of a med...

MATHS

If x is the length of a median of an equilateral triangle, then its area in terms of x = ?

A

x2

B

2x23

C

3x23

D

2x2

MEDIUM

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ANSWER

Consider an equilateral triangle ABC having sides a and a median AD of length x unit'.

In an equilateral triangle, the median is always the perpendicular bisector of the triangle. 

So, BD=a/2

In triangle ABD, by pythagoras theorem, we have

AB2=AD2+BD2⟹a2=x2+(2a)2⟹a2=x2+4a2⟹43a2=x2or,