A. How many non-degenerate scalene triangles with integer sides have a

Mathematics

2 answers:

nekit [7.7K]3 years ago

6 0

This all equal 136 I had it

Ierofanga [76]3 years ago

5 0

Answer:

Hello,

a)18

Step-by-step explanation:

$p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}$

number of triangle=18

Side of the equilateral triangle =2

Height=√3 (using Pythagorean's theorem) (tr ACP)

Triangle ABJ has the same area as the triangle ABC

Uisng Thalès's theorem,

$\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\$

You might be interested in

What us the volume of this?

ExtremeBDS [4]

Break down the figure into 2 parts. Then use volume formula and multiply.
V=lwh
V=3x3x2
V=18ft^2

V=lwh
V=2x2x3
V=12ft^2
Then simply add.
18
+12
-------
30

5 0

2 years ago

Read 2 more answers

In a polynomials equation do you add the exponents if they are different

Alexus [3.1K]

You can only add exponents if you are multiplying two of the same variable together. For example,
$x^{12} \times x^4 = x^{16}$

You take them away if you are dividing.
 $x^{12} \div x^4 = x^{8}$

In a polynomial equation, you can add together two of the same variable if they have the same exponent
 $3x^4 + 7x^4 = 10x^4$

Or you can take them away in a similar fashion,
 $3x^4 - 7x^4 = -4x^4$

But you cannot add two (or more) different exponents,
 $6+4x+7x^2 = 6+4x+7x^2$ (it does not get any simpler)

I hope this has answered your question, if not, leave a comment and I'll update the answer.

4 0

3 years ago

How to solve in long division 82.14 divided by 6.

omeli [17]

Answer: 13.69

Step-by-step explanation:

$82.14/6=$