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Alisiya [41]
3 years ago
12

Which construction can you use to prove the Pythagorean Theorem based on similarity of triangles?

Mathematics
2 answers:
natima [27]3 years ago
6 0

Answer: Draw perpendicular to the hypotenuse that goes through point of right angle.


Step-by-step explanation:

Let ΔABC be any triangle right angled at B, then a line segment perpendicular to AC (hypotenuse) and name it point D such that in ΔABC and ΔABD, ∠B=∠ADB =90° and ∠A=∠A (common in both triangles) ,therefore by AA similarity criteria ΔABC is similar to ΔABD....> which can be use to prove the Pythagoras theorem.

Pythagoras  theorem states that in any right angled triangle the square of the longest side is equal to the sum of the square of other two sides.

Rashid [163]3 years ago
4 0

The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.

 

To add, in mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).

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Solve the formula for calculating the perimeter of a parallelogram with sides
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The formula for calculating the perimeter of the parallelogram is p/2-b=c.

The formula for calculating the perimeter of a parallelogram with sides b and c, for c.

<h3>What is the perimeter of the parallelogram?</h3>

The perimeter of a parallelogram is the total distance enclosed by its boundary. Since the parallelogram is a type of quadrilateral, thus it has four sides.

Substracting 2b on both side

p = 2b+2c

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p -2b =2c

divide both sides by 2

p/2 -b =c

Therefore we get the formula for calculating the perimeter of the parallelogram is p/2-b=c.

To learn more parallelogram visit:

brainly.com/question/970600

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1 year ago
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Roman55 [17]
The students ate 6 lbs of candies.
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3 years ago
Write an equation in slope-intercept form of the line that passes through the points (-6, -10) and (1,4).​
vova2212 [387]

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Step-by-step explanation:

(x,y)

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B

Step-by-step explanation:

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