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arsen [322]
3 years ago
7

Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t

he length of the third side be). Write the inequalities for each case.
13.2 and 6.7
Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

The length of the third side of given triangle lies between 6.5 and 19.9.

Step-by-step explanation:

The law of cosine is as follows

 c^{2} =a^{2}+b^{2}+2abcos\alpha---------------1

⇒ a and b are the given sides of the triangle and c is the third side, and \alpha is the angle between a and b .

In equation 1 , the maximum and minimum values of cos\alpha are 1 and -1.

 so the value of c  lies in between

⇒ \sqrt{a^{2}+b^{2}-2ab   } and  \sqrt{a^{2}+b^{2}+2ab  }   = |a-b| and |a+b|

Given a=13.2 and b=6.7 so the the side lies in between  |13.2-6.7| and |13.2+6.7|

  so the third side lies between 6.5 and 19.9

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2 years ago
FRACTIONS
Vladimir79 [104]

The complete fraction is 24/30=4/5

<h3>How to create an equivalent fraction?</h3>

The expression is given as:

blank over 30=4/5

Represent the blank with x.

So, we have:

x/30=4/5

Multiply both sides by 30

x = 30 * 4/5

Evaluate

x = 24

Substitute x = 24 in x/30=4/5

24/30=4/5

Hence, the complete fraction is 24/30=4/5

Read more about fractions at:

brainly.com/question/10354322

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2 years ago
What's the mean of 8, 17, 9, 3, 13
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8 + 17 + 9 + 3 + 13 = 50

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3 years ago
Here’s the other one :)
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I believe the answer is 2(15t).

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Read 2 more answers
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