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For ΔJNM, the following facts are given:

KL || MN

KL = 8 ft

MN = 10 ft

JL = 3.2 ft

MK = 1.5 ft

Answer the following:

Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem.

Find the length of JN. Show all your work.

Find the length of JK. Show all your work.

What is the area ratio of ΔJNM to ΔJLK? Show all your work.

 Feb 28, 2021
 #1
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Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem.

    Yes    S-A - S

 

Find the length of JN. Show all your work.

  kl is to mn      as     jl is to jn

kl / mn   =  jl/jn

8/10 =  3.2 / jn           use this to find   jn      then   ln =   jn - jl   =     jn - 3.2

 

Find the length of JK. Show all your work.

kl / mn   =   jk/ (jk+ mk)     

8/10      = jk/ (jk+1.5)                    solve for jk

 

Are these right triangles?      use what you have found and are given to see if pythagorean theorem is true

   if they ARE right triangles   then are of a right triangle  =  1/2  leg* leg2     

 Feb 28, 2021

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