pls help.
2. Use the following figure to answer the questions.
Anthony claims that Triangle KLM is an isosceles triangle.
(a) Find the slopes of the two lines.
LK =
LM =
(b) Find the length of the two sides.
LK =
LM =
(c) Based on your findings, is Anthony correct? Justify your answer.
Answers
Answer:
(a) Find the slopes of the two lines.
LK = 4/3
LM = 3/5
(b) Find the length of the two sides.
LK = 5
LM = \sqrt(34)
Based on your findings, is Anthony correct? Justify your answer.
Based on my findings Anthony is incorrect
Step-by-step explanation:
Given : Anthony claims that Triangle KLM is an isosceles triangle.
To Find : slopes of the two lines. LK and LM
length of the two sides. LK and LM
is Anthony correct
Solution:
From the figure
K = ( -4 , 8)
L = (- 7 , 4)
M = (-2 , 1)
Slope of LK = ( 8 - 4)/(-4 -(-7)) = 4/3
Slope of LM = ( 1 - 4)/(-2 - (-7)) = -3/5
Slope of KM = ( 1 - 8)/(-2 - (-4)) = -7/2
LK = √(-4 -(-7))² + (8 - 4)² = √3² + 4² = 5
LM = √(-2 -(-7))² + (1 - 4)² = √5² + 3² = √34 = 5.831
KM = √(-2 -(- 4))² + (1 -8)² = √2² + 7² = √53 = 7.28
None of the two sides are equal
Hence Triangle is not isosceles
Triangle is scalene
Anthony is not correct as triangle is scalene not isosceles
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