What is the Pythagorean Theorem used for?

It is used to determine the length of a side in a right triangle when the lengths of the other two sides are known.

If $$c$$ is the hypotenuse and $$a$$ and $$b$$ are the other two sides, what is the equation to find $$c$$ ?

The equation is: $$c = \\sqrt{a^2 + b^2}$$ .

What is the value of $$5^2 + 12^2$$ ?

$$5^2 + 12^2 = 25 + 144 = 169$$ .

What does it mean if a triangle does not satisfy the Pythagorean Theorem?

If a triangle does not satisfy the Pythagorean Theorem, it is not a right triangle.

What is the first step in using the Pythagorean Theorem?

Identify the lengths of the two legs (a and b) of the right triangle.

If $$x$$ is the length of one side and $$12$$ is the length of the hypotenuse, what is the equation to find $$x$$ ?

The equation is: $$x^2 + 12^2 = c^2$$ , where $$c$$ is the length of the other side.

Pythagorean Theorem Basics Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for finding the hypotenuse in a right triangle?

Back

3.

FLASHCARD QUESTION

Front

What do we call the longest side of a right triangle?

Back

The longest side of a right triangle is called the hypotenuse.

4.

FLASHCARD QUESTION

Front

When do we use the Pythagorean Theorem?

Back

We use the Pythagorean Theorem to find the missing length of a side in a right triangle.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

If one side of a right triangle is 12 and the other side is 9, how do you find the hypotenuse?

Back

7.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

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