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vodka [1.7K]
3 years ago
5

Which of the following correctly shows the Pythagorean theorem?

Mathematics
2 answers:
Ugo [173]3 years ago
7 0

Answer:

a²+b²=c²

Step-by-step explanation:

that is the formula for calculating pythagoras

ryzh [129]3 years ago
5 0
The pythagorean theorem is
a^2 + b^2 = c^2
which is D
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On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2). What is th
Elena L [17]

Answer:

The area of triangle for the given coordinates is  1.5\sqrt{4.6}

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, a = \sqrt{(3-0)^{2}+(4-0)^{2}}

Or, a =  \sqrt{9+16}

Or, a =   \sqrt{25}

∴ a = 5 unit

Similarly

The measure of length BC = b = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, b = \sqrt{(3-3)^{2}+(2-4)^{2}}

Or, a =  \sqrt{0+4}

Or, b =   \sqrt{4}

∴ b = 2 unit

And

So, The measure of length CA = c = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, c = \sqrt{(3-0)^{2}+(2-0)^{2}}

Or, c =  \sqrt{9+4}

Or, c =   \sqrt{13}

∴ c = \sqrt{13} unit

Now, area of Triangle written as , from Heron's formula

A = \sqrt{s\times (s-a)\times (s-b)\times (s-c)}

and s = \frac{a+b+c}{2}

I.e  s = \frac{5+2+\sqrt{13}}{2}

Or. s =  \frac{7+\sqrt{13}}{2}

So, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times ((\frac{(7+\sqrt{13})}{2})-5)\times (\frac{7+\sqrt{13}}{2}-2)\times (\frac{7+\sqrt{13}}{2}-\sqrt{13})}

Or, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times (\frac{(\sqrt{13}-3)}{2})\times (\frac{4+\sqrt{13}}{2})\times (\frac{7-\sqrt{13}}{2})}

Or, A = \frac{3}{2} × \sqrt{1+\sqrt{13} }

∴  Area of triangle = 1.5\sqrt{4.6}

Hence The area of triangle for the given coordinates is  1.5\sqrt{4.6}  Answer

7 0
3 years ago
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I need to know how to solve this
jeyben [28]
The answer is 3 4/5 !!
5 0
3 years ago
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I need answer to both of the questions please someone!! 20points
diamong [38]

Answer:

Step-by-step explanation:

x+62=90 degree (being perpendicular)

x=90-62

x=28 degree

x+25=90 (being perpendicular)

x=90-25

x=65 degree

8 0
3 years ago
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Please help it’s due in a few minutes
timofeeve [1]
The photo is upside down btw
8 0
3 years ago
The pass mark for a test is 86%.<br> Steve scores 52 out of 61 marks.<br> Does he pass the test?
laiz [17]

Answer:

He fails

Step-by-step explanation:

Marks = 52/61

Percentage =  52/61  x 100 ~ 85%

Pass amrk =86%

85% < 86%  

So , he fails

4 0
3 years ago
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