Question

Find the error in the solution. Identify the solution, and then solve the problem correctly.

In ΔKLM, m Use the Law of Cosines to find the length of LM to the nearest tenth.
LM² = 23² - 20² - 2 (23) (20) cos 119°
LM² = 529 - 400 - 920 cos 119°
LM²≈575.02
LM²≈24.0

Answer 1

Answer:

Eroor: LM² = 23² - 20² - 2(23)(20) cos 119°

Should be LM² = 23² + 20² - 2(23)(20) cos 119°

Lm² = 575.02 is incorrect

LM² = 1375.016 is correct

LM = 24.0 is incorrect

LM = 37 - 1 is correct

Answer: LM = 37 - 1

Step-by-Step Explanation:

$In\ \bigtriangleup KLM$

$By\ using\ cosine\ gule:$

$LM^2=LK^2+Km^2-2LK\times Km$

                                      $\times cos(119\textdegree$

$LM^2=23^2+20^2-2\times 23\times 20\times -0.4848$

$LM^2=529+400+920\times 0.4848$

$LM^2=929+446+016=1375.016$

$LM=\sqrt{1375.016}=37.0812=37.1$

$Error:LM^2=23^2-20^2-2(23)(20)cos\ 119\textdegree$

$Sholeld\ be\ 2M^2=23^2+20^2-2(23)(20)\ cos\ 119\textdegree$

$Lm^2=575.02\ is\ incosrect$

$LM^2=1375.016\ is\ correct$

$LM=24.0\ is\ correct$

$Lm=37-1\ is\ correct$

$Answer:LM=37-1$

I hope this helps you

:)