SOLUTION: The three vertices of a triangle are as follows: (-4,5),(-4,-3), and (2,-3). Give the length of the longest of the longest side. Give your answer as a simplified radical.

Question 934596: The three vertices of a triangle are as follows:
(-4,5),(-4,-3), and (2,-3).
Give the length of the longest of the longest side.
Give your answer as a simplified radical.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
first find the distance between given points:
(,) and (,)

Solved by pluggable solver: Distance Formula

The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (-4, 5), we can say (x1, y1) = (-4, 5)
So ,

Since the second point is (-4, -3), we can also say (x2, y2) = (-4, -3)
So ,

Put this all together to get: , , , and

--------------------------------------------------------------------------------------------

Now use the distance formula to find the distance between the two points (-4, 5) and (-4, -3)

Plug in , , , and

==========================================================

Answer:

The distance between the two points (-4, 5) and (-4, -3) is exactly 8 units

(,) and (,)

Solved by pluggable solver: Distance Formula

The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (-4, 5), we can say (x1, y1) = (-4, 5)
So ,

Since the second point is (2, -3), we can also say (x2, y2) = (2, -3)
So ,

Put this all together to get: , , , and

--------------------------------------------------------------------------------------------

Now use the distance formula to find the distance between the two points (-4, 5) and (2, -3)

Plug in , , , and

==========================================================

Answer:

The distance between the two points (-4, 5) and (2, -3) is exactly 10 units

(,)and (,)

Solved by pluggable solver: Distance Formula

The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (-4, -3), we can say (x1, y1) = (-4, -3)
So ,

Since the second point is (2, -3), we can also say (x2, y2) = (2, -3)
So ,

Put this all together to get: , , , and

--------------------------------------------------------------------------------------------

Now use the distance formula to find the distance between the two points (-4, -3) and (2, -3)

Plug in , , , and

==========================================================

Answer:

The distance between the two points (-4, -3) and (2, -3) is exactly 6 units

as you can see,
the distance between the two points (, ) and (, ) is exactly units
the distance between the two points (, ) and (,) is exactly units
the distance between the two points (,) and (,) is exactly units

so, the length of the longest of the longest side is

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