What is the perimeter of a triangle with corners at #(7 ,3 )#, #(9 ,5 )#, and #(3 ,3 )#?

Answer 1

#4 + 2sqrt10 + 2sqrt2 ~= 13.15#

Well, perimeter is simply the sum of the sides for any 2D shape.

We have three sides in our triangle: from #(3,3)# to #(7,3)#; from #(3,3)# to #(9,5)#; and from #(7,3)# to #(9,5)#.
The lengths of each are found by Pythagoras' theorem, using the difference between the #x# and the #y# coordinates for a pair of points. .

For the first:

#l_1 = sqrt((7-3)^2+(3-3)^2) = 4#

For the second:

#l_2 = sqrt((9-3)^2+(5-3)^2) = sqrt40 = 2sqrt10~= 6.32#

And for the final one:

#l_3 = sqrt((9-7)^2+(5-3)^2) = sqrt8 = 2sqrt2 ~= 2.83#

so the perimeter is going to be

#P = l_1 + l_2 + l_3 = 4 + 6.32 + 2.83 = 13.15#

or in surd form,

#4 + 2sqrt10 + 2sqrt2#
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Answer 2

To find the perimeter of the triangle with corners at (7, 3), (9, 5), and (3, 3), we use the distance formula to calculate the length of each side of the triangle. Then, we sum up the lengths of all three sides to obtain the perimeter.

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Answer 3

To find the perimeter of the triangle with corners at (7, 3), (9, 5), and (3, 3), you need to calculate the sum of the lengths of its three sides.

Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is given by:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

So, for each side of the triangle:

  1. Side 1: Between (7, 3) and (9, 5) Distance = √((9 - 7)^2 + (5 - 3)^2)

  2. Side 2: Between (9, 5) and (3, 3) Distance = √((3 - 9)^2 + (3 - 5)^2)

  3. Side 3: Between (3, 3) and (7, 3) Distance = √((7 - 3)^2 + (3 - 3)^2)

Calculate each of these distances, then sum them up to find the perimeter of the triangle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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