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?

Part 4)

Part 5a)  

Part 5b)  

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

---> is true

therefore

Is verified