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jekas [21]
3 years ago
9

Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the s

quares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0
For the answer to the question above asking to p<span>rove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, 
</span>A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²)<span> is the longest side and is opposite the right angle.

</span>⇒ α² + β² = c² 
<span>
"</span>In any right triangle ( 90° angle) <span>, the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."
</span>
For example:  Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.  
c2 = a2+ b2
c2  = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5
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Find P 20 of the following arithmetic sequence: 206, 212, 218, 224....
Yanka [14]

Answer:

p_{20} = 1.25528

P₀ = 206 and difference d = 6

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the arithmetic sequence

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P₀ = 206 and difference d = 212-206 = 6

The n^{th} term of the sequence

   t_{n} = ar^{n-1}

<u><em>Step(ii):-</em></u>

The n^{th} term of the sequence

   P_{n} = ar^{n-1}

Put n=20

P_{20} = 206 ( 6) ^{20-1}

p_{20} = 1.25528

7 0
3 years ago
Which graph represents the solution to this system of inequalities? y ≤ -2x y &gt; 3x − 4
Evgesh-ka [11]

Answer:

Option A,

Only that graph represents the solution to the given system of inequalities.

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3 years ago
Is it possible to prove DOG is con to GED?​
blagie [28]

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Yes

Step-by-step explanation:

The angles are identical, so they are congruent.

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8 0
3 years ago
A square mosaic is made of small glass squares. If there are 256 small squares in the mosaic how many are along an edge?
Degger [83]
To do this, you got to square 256.

The square root of 256 is 16.

Therefore, there are 16 small squares on each edge of the mosaic.

Kinda proof:

o  o  o  o  O
o  o  o  o  O
o  o  o  o  O
o  o  o  o  O
o  o  o  o  O

25 squares. Square root is 5. 5 along each edge. My work shares same concept.

Extremely unnecessary proof:

o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
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There are 256 squares, and you can count 16 on each edge. this shows 16 times 16, or 16 squared, which is 256.

3 0
3 years ago
Read 2 more answers
Please help please please please
Readme [11.4K]
It is a low posabilaty
8 0
3 years ago
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