Question

show that a median of a triangle divides it into two triangles of equal area ​

Answer 1

Answer:

Step-by-step explanation:

Simple मीडियन बिसेक्ट अपोजिट साइड टू 2 equal halves

And Height is same.

Hence, Area = 1/2 x Base x height.

Now, area if both ∆ = 1/2 x base x same height.

Answer 2

AnswEr:

GIVEN :

A ∆ABC in which AD is the median

TO PROVE :

ar(∆ABD) = ar(∆ADC)

CONSTRUCTION :

Draw AL $\perp$ BC .

PROOF :

Since AD is the median of ∆ABC. Therefore, D is the mid-point of point BC.

→ BD = DC

→ BD × AL = DC × AL BD = DC

→ 1/2 ( BD × AL ) = 1/2 ( DC × AL )

→ ar ( ∆ABD ) = ar ( ∆ADC )