What are the legs of a right triangle?

The legs of a right triangle are the two sides that form the right angle.

How do you determine if a triangle is a right triangle using the Pythagorean Theorem?

To determine if a triangle is a right triangle, check if the lengths of the sides satisfy the Pythagorean Theorem: $$a^2 + b^2 = c^2$$ .

What is the value of c if a = 9 and b = 12?

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

What is the Pythagorean triple?

A Pythagorean triple consists of three positive integers (a, b, c) that satisfy the Pythagorean Theorem, such as (3, 4, 5) or (5, 12, 13).

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

Yes, because $$7^2 + 24^2 = 49 + 576 = 625 = 25^2$$ .

What is the significance of the Pythagorean Theorem in real life?

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and angles.

What is the area of a right triangle with legs of length 6 and 8?

The area of a right triangle is given by: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 6 \times 8 = 24$$ .

What is the converse of the Pythagorean Theorem?

The converse states that if a triangle has sides a, b, and c, and $$a^2 + b^2 = c^2$$ , then the triangle is a right triangle.

Pythagorean Theorem Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What is the formula to find the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.8

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

If one leg of a right triangle is 8 and the other leg is 6, what is the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a right triangle?

Back

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

If the hypotenuse is 13 and one leg is 5, how do you find the other leg?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

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