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docker41 [41]
2 years ago
10

Write yes if the given set of lengths are side lengths of a right triangle. Otherwise write No

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
7 0

Answer:

a) Yes

b) No

c) Yes

d) No

e) No

Step-by-step explanation:

Right triangle:

The square of the larger side is equals to the sum of the squares of the smaller sides.

a. 6, 8, 10

6^2 + 8^2 = 36 + 64 = 100 = 10^2

The answer is yes.

b. 8, 15, 16

8^2 + 15^2 = 64 + 225 = 289 \neq 16^2 = 256

So no.

c. 10, 24, 26

10^2 + 24^2 = 100 + 576 = 676 = 26^2

So yes

d. 20, 21, 28

20^2 + 21^2 = 400 + 441 = 841 \neq 28^2 = 784

So no.

e. 9, 35, 41​

9^2 + 35^2 = 81 + 1225 = 1306 \neq 41^2 = 1681

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Please answer the problem and show your work.Thank you.
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Answer:

8. m=6

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The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

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

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

A=\dfrac{(a+b)h}{2}

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2

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C=812×$8.30

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Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

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