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s344n2d4d5 [400]
2 years ago
10

Do the following side lengths form a triangle? 6, 18, 14

Mathematics
1 answer:
iren2701 [21]2 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Conditions for the sides to form a triangle is that sum of any two sides should be greater than the third side.

6 + 18 = 24

24 > 14

18 + 14 = 32

32 > 6

6 + 14 = 20

20 > 18

Therefore,

sides 6, 18 and 14 forms a triangle.

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Your parents decide they would like to install a rectangular swimming pool in the backyard. There is a 15-foot by 20-foot rectan
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Answer:

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  • area: 126 ft²

Step-by-step explanation:

Since the 3 ft edge is on both sides of the pool, each dimension of the pool is 6 ft shorter than the corresponding dimension of the space. The pool will be 15 ft -6 ft = 9 ft in one direction and 20 ft -6 ft = 14 ft in the other direction.

The perimeter of the pool is the sum of its side lengths:

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5 0
3 years ago
What are the missing angle measures in triangle ABC?
Finger [1]

we know that

In the right triangle ABC

∠A+∠B=90 ------> by complementary angles

so

Step 1

Find the measure of angle B

we know that

tan\  B=\frac{opposite\  side\  angle\  B}{adjacent\  side\  angle\  B}

in this problem

opposite\  side\  angle\  B=7in\\ adjacent\  side\  angle\  B=5in

so

tan\  B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees

Step 2

Find the measure of angle A

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therefore

the answer is the option

35.5° and 54.5°




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