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Yuki888 [10]
4 years ago
7

The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. Find t

he length of the segment determined by the points of intersection between the line and the other two sides of the triangle
Mathematics
1 answer:
pantera1 [17]4 years ago
6 0

Answer:

  18√2

Step-by-step explanation:

The area of the smaller triangle is 1/2 that of the larger one. Since the triangles are similar, the dimensions of the smaller triangle are √(1/2) those of the larger one.

  36 · √(1/2) = 36 · (√2)/2 = 18√2 . . . . length of line dividing the triangle

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2. Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 1
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The area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The dimensions of the garden = 10 ft by 12 ft

Area = 10×12 = 120 square feet

The width of the walkway = 3 feet

If we create a walkway around the garden, it will be a rectangle around the garden.

So the dimensions for the bigger rectangle = (3+10+3) ft by (3+12+3) ft

Area of the bigger rectangle = 16×18 = 288 square feet

So the area of the walkway = 288 - 120 = 168 square feet

Thus, the area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

Learn more about the rectangle here:

brainly.com/question/15019502

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4 0
2 years ago
A surveyor starts at the southeast corner of a lot and
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Total displacement = √250,000

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3 years ago
A right Triangle XYZ has Vertices X(−2, −1) and Y(1, 1) and a right angle at Vertex Z.
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Answer:

x(1,4)  Y(2,3)  and Z(5,y)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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