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loganfreeman04
15.12.2019 •
Mathematics
4. determine the length across the river x to the nearest hundredth.
5. the coordinates of the vertices of a triangle are m(-4,1) , a(3,3) , and n (2,-3)
part a : determine the coordinates of j, the midpoint of ma.
part b: determine the coordinates of l, the midpoint of an.
part c: prove that jl=1/2mn
how do i solve this?
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Ответ:
Part 4)![x=\frac{62}{3}\ ft](/tpl/images/0419/8757/229f6.png)
Part 5a)![J(-0.5,2)](/tpl/images/0419/8757/cac2b.png)
Part 5b)![L(2.5,0)](/tpl/images/0419/8757/b4947.png)
Part 5c) see the explanation
Step-by-step explanation:
Part 4) we know that
The Midpoint Theorem says that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side
so in this problem
Applying the midpoint theorem
Part 5) we have
Part a) Determine the coordinates of J, the midpoint of MA
we know that
The formula to calculate the midpoint between two points is equal to
we have
substitute
Part b) Determine the coordinates of L, the midpoint of AN
we know that
The formula to calculate the midpoint between two points is equal to
we have
substitute
Part c) Prove that JL=1/2MN
we know that
the formula to calculate the distance between two points is equal to
Find the distance JL
we have
substitute the values in the formula
Find the distance MN
we have
substitute the values in the formula
simplify
Prove that
substitute the values
therefore
Is verified
Ответ:
7.8
Step-by-step explanation:
Use Pythogoras Theorem
a²+b²=c²
a²=36
b²=25
a²+b²=61
√61=7.8
hope it helps
Have a nice Day , I would appreciate it if you could mark my answer brainliest