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Ainat [17]
3 years ago
10

Which of these sets could represent the side lengths of a right triangle?

Mathematics
1 answer:
Jlenok [28]3 years ago
4 0

Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

(Base)^{2}  + (Perpendicular)^{2}   = (Hypotenuse)^{2}

Now, in the given triplets:

(a) {4, 8, 12}

Here, (4)^{2}  + (8)^{2}   = 16 + 64  = 80\\\implies H = \sqrt{80}  =  8.94

So, third side of the triangle   8.94 ≠ 12

Hence,  {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10

Hence,  {6, 8, 10} is  a triplet.

(c) {6, 8, 15}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10  ≠ 15

Hence,  {6, 8, 15} is  NOT a triplet.

(d) {5, 7, 13}

Here, (5)^{2}  + (7)^{2}   = 25 + 49  = 74\\\implies H = \sqrt{74}  =  8.60

So, third side of the triangle  8.60  ≠ 13

Hence, {5, 7, 13} is  NOT a triplet.

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KIM [24]

Answer:

x=-1 is the answers for the question

Step-by-step explanation:

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3 0
2 years ago
Find c. Round to the nearest tenth
sergeinik [125]

Answer:

c = <u>0.5 cm</u>

Step-by-step explanation:

Using the Sine rule in the triangle, then

=  ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c =  ≈ 0.5 cm ( to the nearest tenth )

8 0
2 years ago
14
uranmaximum [27]

Answer:

x = 2515

Step-by-step explanation:

5000 = 2x - 30

2800 = x

<h2>have a great day! I hope this helps! </h2>
4 0
2 years ago
In 2003, the population of an African country was about 22.5 million people, which is 1 million more than
Zepler [3.9K]

Answer:

Population of Africa in 2003 is 22.5 million

population of Africa in 1950 is 1 million - 22.5 million /5

21.5million / 5

21500000/5

4300000

4.3 million people

8 0
3 years ago
Which is the best approximation to a solution of the equation e^x = 2x + 3?
TiliK225 [7]
The correct question is 
Which is the best approximation to a solution of the equation
e^(2x) = 2e^{x) + 3?

we have that

e^(2x) = 2e^{x) + 3-----------> e^(2x)- 2e^{x) - 3=0
the term 
e^(2x)- 2e^{x)----------> (e^x)²-2e^(x)*(1)+1²-1²------> (e^x-1)²-1

then
e^(2x)- 2e^{x) - 3=0--------> (e^x-1)²-1-3=0------> (e^x-1)²=4
(e^x-1)=2--------> e^x=3
x*ln(e)=ln(3)---------> x=ln(3)
ln(3)=1.10
hence
x=1.10

the answer is x=1.10



3 0
3 years ago
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