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# What does the Pythagorean theorem state and which triangle does it apply to?

Updated: 10/24/2022

Wiki User

12y ago

This particular theorem states that the sum of the squares of the two sides of a triangle always equals to the square of the hypotenuse or the biggest side of the triangle. It applies only to right triangles. Right triangles have only one right angle and is always opposite to the hypotenuse.

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12y ago

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Q: What does the Pythagorean theorem state and which triangle does it apply to?
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### What does the Pythagorean Theorem state about the sides of a right triangle if the legs of triangle have the measurement of a and b and the hypotenuse of the triangle measures c?

a squared plus b squared equals c squared usually expressed as: a2+b2 = c2

### What does Pythagoras most famous proof state?

Pythagoras most famous proof is the pythagorean proof . It states that in a right angled triangle , the square of hypoteneus ( the longest side of the triangle ) is equal to the sum of squares of the other two sides .

### Can you state the Pythagorean Theorem not just the formula?

In a right-angled triangle the area of the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides.

### What does the triangle inequality theorem state?

The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.

### What does the Pythagorean Theorem state?

The sum of the areas of the two squares on the legs of a triangle (a and b), where the angle between sides a and b is 90 degrees, equals the area of the square on the hypotenuse (c). a2 + b2 = c2

### When can you use Pythagorean Theorem to solve a problem please state all the possible answers?

to find the unknown length of the longest side in a right angled triangle provided the length of the other two sides is known.

### What does the pythagorem state?

If you are referring to the Pythagorean Theorem, it is that a2 + b2 = c2. A and B are the two shorter sides and C is the hypotunuse. This formula applies to any right-angled triangle, where you have the known length of two sides, and want to find the length of the third side.

### What does the Pythagorean Theorem state for right triangles?

It states that the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides.

### What does the HL Congruence Theorem state?

HL Congruence Theorem says: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.sss

### What does pythagarean theorem state?

In a right triangle the square of hypotenuse is equal to the sum of squares of the other two sides

### What is the algebraic formula that the Scare Crow states in the movie The Wizard of Oz?

The Pythagorean theorem. A2 + B2 = C2 The sum of square of two sides of a right triangle is equal the square of the remaining side. The way he said it was not quite correct because he didn't state which sides were perpendicular and which was the hypotenuse. But I think we all get the idea.

### What to right on a pythagorean theorem paper?

First of all, when you talk about making up a paper with a pen or a computer, learn the difference between "right" and "write". It's important, and you can probably get it right without a spell-checker. Now, what to write in the paper: -- Introduction: Say "This paper will tell about the Pythagorean Theorem and how it's used." -- State the Pythagorean Theorem -- Two or three sentences about who Pythagoras was, and why we remember him after so many centuries. (He must have been pretty smart, and discovered stuff that we still use now.) -- Explain what his Theorem means. -- Make up one or two examples. -- It would really be great if you could find an example of where it's used by somebody on their real job, like maybe a surveyor or a carpenter, and give that example too in the paper. Don't forget to write that you went out and found it outside of school. That's extra credit for sure. -- Conclusion: State the Pythagorean Theorem again, and promise that you'll never forget it as long as you live.