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Pythagorean Theorem.
I agree with whomever entered the answer, above: "Pythagorean Theorem."
If it might be helpful to someone out there, may I offer a bit of explanation of the process for finding line C, or "Hypotenuse"?
To find the length of the longest side of a right triangle (or side C), one must square the other two sides, A and B. This is performed as, C2- = A2 + B2
The problem with that answer, so far, is that both a and b were squared, so the answer, thus far, is the result of C2. However, one needs to find what C equals (NOT what C2 equals.)
Therefore, to finally determine the length of C (not C2) one must now find the square root of whatever C2 equaled in the formula, above. Once you calculate the square root of C2 then you now have the length of line C.
Thanks,
bill e.
What else can I help you with?
What Greek mathematician is credited with creating the theorem of the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse?
Pythagoras.
What is the length of the hypotenuse of a right triangle with legs of lengths 5 and 12?
The length of the hypotenuse of a right triangle with legs of lengths 5 and 12 units is: 13The length of a hypotenuse of a right triangle with legs with lengths of 5 and 12 is: 13
Can 1 3 5 be the side lengths of a right triangle?
No, because the biggest length (hypotenuse) has to be equal to the square root of the sum of the squares of the other two sides, which it is not
The square of the length of the hypotenuse c of a right triangle varies jointly with the sum of the squares of the lengths of its legs a and b?
Yes, this is known as the Pythagorean theorem. It states that a2 + b2 = c2 where a and b are the lengths of the two sides on either side of the right angle and c is the length of the hypotenuse.
A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x plus 1. What could be the length of the other side?
The longest side can have a length of 6, 8, or 10 units. It cannot have an odd length. If the third side has to be the longest, the two shorter sides can only have integer lengths of 1 and 2 2 and 3 3 and 4
If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides then the triangle is an acute triangle?
Yes, that's correct. In a triangle, if the square of the length of the longest side is less than the sum of the squares of the lengths of the other two sides, it indicates that all angles in the triangle are less than 90 degrees. This condition defines an acute triangle, where each angle is acute. Conversely, if the longest side squared equals the sum of the squares of the other two sides, the triangle is right-angled, and if it's greater, the triangle is obtuse.
What are the sides of a right angle triangle?
They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.They are straight lines. The sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. But subject to that constraint, the sides can have any lengths.
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides of what kind of triangle?
It would be an obtuse triangle with one angle being greater than 90 degrees.
Which are the measurements of the sides of a right triangle?
There's an infinite list of 3-number sets that can be the lengths of the sides of aright triangle. The only fact that's true of all of them is:(square of the length of the longest side) = (sum of the squares of the lengths of the other two sides.)
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
In a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
Correct.
Is this statement true or falseIf the length of the longest side of a triangle is equal to the sum of the lengths of the other two sides, then the triangle is a right triangle?
false
What is known as In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Pythagorean Theorem
Is it possible to have a triangle with side lengths of 4-1-10?
No because the sum of the smaller lengths must be greater than the longest length
What theorem states that in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
the Pythagorean Theorem
This theorem states that in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
pythagorean theorem.
