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ira [324]
3 years ago
13

On the packaging for a triangular sail, the edge measurements for the sail are listed as

Mathematics
2 answers:
White raven [17]3 years ago
7 0

Answer:

The sail forms an obtuse angle.

Step-by-step explanation:

We will use Pythagorean theorem to classify triangle, which states:

  • If the sum of squares of two shorter sides is smaller than the square of longest side than triangle is an obtuse triangle.
  • If the sum of squares of two shorter sides is greater than the square of longest side than triangle is an acute triangle.
  • If the sum of squares of two shorter sides is equal to the square of longest side than triangle is a right triangle.

Let us check our given sides using Pythagorean theorem.

17^2?7^2+15^2

289?49+225

289>274

We can see that the square of longest side is 289, which is greater than 274, therefore, the sail forms an obtuse angle.

Gelneren [198K]3 years ago
6 0

Answer: Obtuse triangle.


Step-by-step explanation:

1. By definition, you have:

- If the square of the length of the longest side is greater than the sum of the squares of the lengths of the other two sides, then the triangle is classified as "obtuse".

-  If the square of the length of the longest side is less than the sum of the squares of the lengths of the other two sides, then the triangle is classified as "acute".

-  If the square of the length of the longest side and the lenght of the other two sides are equal, then it is a right triangle.

2. Based on this information, you have:

(17ft)^{2}=289ft^{2}\\(15ft)^{2}+(7ft)^{2}=274ft^{2}

289ft^{2}>274ft^{2}

3. The longest side is greater than the other two sides. therefore, it is an obtuse triangle.

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Answer:

\text{Lateral surface area of container}=270\text{ cm}^2    

Step-by-step explanation:

Please find the attachment.

We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.

To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.

\text{Lateral surface area of triangular prism}=(a+b+c)*h, where, a, b and c represent base sides of prism and h represents height of the prism.

Upon substituting our given values in above formula we will get,

\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}

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William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budge
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An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.

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Let the number of people invited to the party be represented by x,

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