Question

If triangle ABC and DEF are similar , AM and DN are Median of triangle ABC and DEF respectively , Prove that AB/DE= AM/DN​

Answer 1

Answer:

hope this will help ypu

Answer 2

Answer:

AB/DE = AM/DN

Given:

ABC and DEF are similar , AM and DN are Median of triangle ABC and DEF respectively.

To find:

Prove that AB/DE= AM/DN

Solution:

Given that ∆ABC and ∆ DEF are similar

AB/DF = BC/EF = AC/DF (1)

<A = <D

<B = <F (2)

<C = <F

BC = 2BM

EF = 2EN

2BM/2EN = AB/DE

BM/EN = AB/DF (3)

<ABM = <DEN

Then from equation 3 and 4

∆ABM is similar to ∆DEN

AB/DE = BM/EN = AM/DN

AB/DE = AM/DN

Conclusion:

Proved that AB/DE = AM/DN

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