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When Using The Pythagorean Theorem How Do You Determine Which Side Goes For A Which Side Goes For

Use the Pythagorean Theorem to determine if the three measures could be sides of a right triangle. 30, 16, 34?

For a right-triangle, by Pythagoras-theorem,

Square of longest side (hypotenuse) = sum of the squares of other two.

so, 34² = 1156 and 30² + 16² = 900 + 256 = 1156

now since 34² = 30² + 16² = 1156

therefore, the sides given are the sides of a right-triangle.

Use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right tr?

1. Use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle. Assume that the largest is the hypotenuse. 20, 6, 21
A) Yes
B) No

2. Use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle. Assume that the largest is the hypotenuse. √72, 17, 19
A) Yes
B) No

3. Use the Pythagorean Theorem to find the missing side of the triangle. Round to the nearest tenth, if necessary.
a = ?, b = 5, c = 8

What is the formula for the Pythagorean theorem finding side A, B and C?

Suppose, C be the Hypotenuse of the triangle,and A, B as base and perpendicular respectively.Thus, the formula should be,C^2 = A^2 + B^2.

In c++ using the sides of a triangle, how do you determine if it is a right triangle?

Hm....









Phytagoras?
Pythagorean theorem only applies to a right triangle.
Dont!
Heron Theorem:
A = sqrt [ s (s-a) (s-b) (s-c) ]
where:
half the circumference of a triangle s = 1/2 (a+b+c)
and
(s-a) (s-b) (s-c) > 0
If (s-a) (s-b) (s-c) == 1/2 (a+b+c), then the right triangle

//Pythagorean triple
float s=(a+b+c)/2;
float D = (s-a)*(s-b)*(s-c);
bool triangle = s==D; //Pythagorean triple

////Non Pythagorean triple
float s=(a+b+c)/2;
float D = (s-a)*(s-b)*(s-c);
bool triangle = D > 0;

Pythagorean theorem?

Use the Pythagorean theorem to determine the length of each line segment. Round to the nearest hundredth where appropriate.
I do not understand this in the slightest.
I kow that the two points are (3,2) and (1,-1).
Please help?!

What happens to, say, the Pythagorean theorem when you go down to sizes as small as Planck's length?

At the Planck scale the very notion of geometry breaks down by continuous quantum jitters. So, Pythagorean theorem obviously does not hold. It does not hold at ordinary scale too if there is appreciable curvature in the spacetime.However as an abstract mathematical theorem it is always true in an Euclidean space.

Pythagorean theorem. so confused....?

So, equilateral triangles are triangles with all sides same length.

you have something that looks like this:

M__________P__________N
.....................|
.....................|
.....................|
.....................|
......................O

(ignore the dots :D)
So if M to N is 24, then that means MP is 12
PO is also 12, so it may seem tempting at first that MO, the third side would also be 12
BUT, we must verify this using the pythagorean theorem.
which is
a^2 + b^2 = c^2
where c is ALWAYS your longest side... SO... because you already have two sides that are 12, the third side is the only possible side which can be longer (it could not be shorter)
SO... if a and b are your other two sides, lets plug in to see what c, our third side is:

12^2 + 12^2 = c^2
144 + 144 = c^2
288 = c^2
taking the square root of both sides, we get
16.97 = c
Therefore, MPO is not an equilateral triangle.
NPO is not one either, because side length c will be the same for MPO as NPO.

Both triangles are in fact isosceles triangles, both with side lengths of
12, 12, and 16.97

Hope this helped you!

Pythagorean Theorem problem help?

suppose you are building patio and you want to make certain that the sides of your patio meet at right angles. give a practical and easy method using the Pythagorean theorem to check that the angle between two adjacent sides is 90 degrees.


Thanks :)

I learned Pythagoras theorem when I was small, but didn't knew exactly, what's the purpose of Pythagoras theorem? Who was Pythagoras and why did he invented Pythagoras theorem?

Pythagoras was a Greek philosopher and mathematician. Pythagoras's theorem, named after him.This basic fundamental was in use before Pythagoras , but the credit goes to the guy who bought it in a proper way  According to Pythagoras's theorem the sum of the squares of two sides of a right triangle is equal to the square of the hypotenuse. Let one side of the right triangle be a, the other side be b and hypotenuse is given by c. According to Pythagoras's theorem a2 + b2= c2In Real life we use Pythagoras theorem at lot of times 1) Finding the shortest distance to reach a place.While running or playing we used to take the middle way to reach the place faster is nothing but the use of Pythagoras theorem 2) Fire fighter / Painters use it :While placing a ladder on the wall , they should know how long the ladder should be and where can we safely place it using the height and distance of the spot on wall they need to reach.3) TV size :To calculate TV size the Pythagoras theorem is used , as they need to calculate the diagonal. for example a 21 inch TV is actually a 16 by 14 TV.some of the other uses areShadowStrategy Saving LivesBuilding housesAnd the list goes on ...If any one can add more points , most welcome :)

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