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2 years ago

an isosceles triangle has integer side lengths and perimeter 25. what is the sum of all possible lengths of the leg

Mathematics

1 answer:

scZoUnD [109]2 years ago

7 0

All the possible integer values for the equal sides and third length of the isosceles triangle are;

2, 2, 21

3, 3, 19

5, 5, 15

7, 7, 11

11, 11, 3

<h3>What is the dimension of the Isosceles Triangle?</h3>

An isosceles triangle has two equal sides only.

The possible prime numbers here are 2, 3, 5, 7, 11.

Now, we don’t whether the prime number sides are equal, but let’s assume that they are. Thus, this means that we could have the dimesions as;

2, 2, 21

3, 3, 19

5, 5, 15

7, 7, 11

11, 11, 3

All the above are all possible integer values for the equal sides and third length of the isosceles triangle

Read more about isosceles triangle at; brainly.com/question/1475130

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Answer:

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Step-by-step explanation:

a) The volume is given by ...

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c) The derivative of the area with respect to x is ...

$S'=2x-\dfrac{492}{x^2}$

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$0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583$

d) The second derivative is ...

$S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6$

This is positive, so the value of x found represents a minimum of the area function.

e) The minimum area is ...

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The minimum area of metal used is about 117.78 m².

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3 years ago

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Step-by-step explanation:

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trapecia [35]

C.) x = -4 is the correct answer

Step-by-step explanation:

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