What is the approximate value of $$\text{sqrt}(20)$$ rounded to the nearest tenth?

$$\text{sqrt}(20) \text{ is approximately } 4.5$$ .

Between which two consecutive integers will you find $$\text{sqrt}(13)$$ ?

$$\text{sqrt}(13) \text{ is between } 3 \text{ and } 4$$ .

If one side of a right triangle is 15 and the hypotenuse is 17, what is the length of the other side?

Using the Pythagorean Theorem: $$c^2 = a^2 + b^2$$ , we have $$17^2 = 15^2 + b^2$$ , so $$289 = 225 + b^2$$ , thus $$b^2 = 64$$ , and $$b = 8$$ .

What is the square of 12?

The square of 12 is $$12^2 = 144$$ .

If a right triangle has sides of length 9 and 12, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$c^2 = 9^2 + 12^2 = 81 + 144 = 225$$ , so $$c = \text{sqrt}(225) = 15$$ .

What is the definition of a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees.

Calculate $$\text{sqrt}(50)$$ and round to the nearest tenth.

$$\text{sqrt}(50) \text{ is approximately } 7.1$$ .

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

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

If the lengths of the two legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$c^2 = 5^2 + 12^2 = 25 + 144 = 169$$ , so $$c = \text{sqrt}(169) = 13$$ .

Pythagorean Theorem and Radicals 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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

3.

FLASHCARD QUESTION

Front

Calculate the length of the hypotenuse if one side is 8 and the other side is 6.

Back

4.

FLASHCARD QUESTION

Front

What is a radical in mathematics?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

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