WORTH 20 POINTS PLEASE HELP
1 answer:
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The length of the KN is 4.4
Step-by-step explanation:
We know from Pythagoras theorem
In a right angle ΔLMN
Base² + perpendicular² = hypotenuse ²
From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.
Hence ∠LKM = ∠NKM = 90 °
Given values-
LM=12
LK=10
Let KN be “s”
⇒LN= LK + KN
⇒LN= 10+x eq 1
Coming to the Δ LKM
⇒LK²+MK²= LM²
⇒MK²= 12²-10²
⇒MK²= 44 eq 2
Now in Δ MKN
⇒MK²+ KN²= MN²
⇒44+s²= MN² eq 3
In Δ LMN
⇒LM²+MN²= LN²
Using the values of MN² and LN² from the previous equations
⇒12² + 44+s²= (10+s) ²
⇒144+44+s²= 100+s²+20s
⇒188+s²= 100+s²+20s cancelling the common term “s²”
⇒20s= 188-100
∴ s= 4.4
Hence the value of KN is 4.4
To solve this first we need to get are chunk which is already solved for here as
Y=(4x) so one the chunk side of this we dont have to solve for it, so now we can just skip right to solving this equation like so. First input the numbers x+(4x)=5,
Distribute/Combine like terms in this case
5x=5
Divide by 5
x=1
So now that we have x we can plug it into are chunk and then we have are answer
Y=(4x)
Y=(4*1)
Y=4
So are end answers are
Enjoy!=)
Y=(4x) so one the chunk side of this we dont have to solve for it, so now we can just skip right to solving this equation like so. First input the numbers x+(4x)=5,
Distribute/Combine like terms in this case
5x=5
Divide by 5
x=1
So now that we have x we can plug it into are chunk and then we have are answer
Y=(4x)
Y=(4*1)
Y=4
So are end answers are
Enjoy!=)