If KL = 4x, LM = 5x − 11, and KM = 8x + 5, what is KM?
4x
K
5x − 11
L
M
8x + 5
Simplify your answer and write it as a proper fraction, mixed number, or integer.
Thanks!
Answers
Answered by
1
Answer:
KM = 133 unit
Step-by-step explanation:
let LMN is right angled triangle and
km is hypotenuse.
by Pythagoras theorem
KM^ = KL^ + LM^
(8x+5)^ = (4x)^ + (5x-11)^
taking squares on both sides
(8x+5) = (4x) + (5x-11)
8x+5 = 4x + 5x -11
8x - 4x - 5x = -11-5
-x = -16
x = 16
KM = 8x+5
= 8*16+5
=133
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