What is the value of x if the legs of a right triangle are 6 and x, and the hypotenuse is 10?

Using the Pythagorean theorem: $$6^2 + x^2 = 10^2$$ . Therefore, $$36 + x^2 = 100$$ , leading to $$x^2 = 64$$ , so $$x = 8$$ .

What is the relationship between the angles in a right triangle?

In a right triangle, one angle is always 90 degrees, and the sum of the other two angles is always 90 degrees, making the total sum of angles in any triangle equal to 180 degrees.

What is the formula to find the area of a right triangle?

The area (A) of a right triangle can be calculated using the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the definition of a hypotenuse?

The hypotenuse is the longest side of a right triangle, opposite the right angle.

What is the converse of the Pythagorean theorem?

The converse of the Pythagorean theorem states that if a triangle has side lengths a, b, and c, and $$a^2 + b^2 = c^2$$ , then the triangle is a right triangle.

How can you determine if a triangle is a right triangle using side lengths?

To determine if a triangle is a right triangle, check if the square of the longest side equals the sum of the squares of the other two sides using the Pythagorean theorem.

What is the significance of the Pythagorean theorem in real-world applications?

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

What is a special right triangle?

A special right triangle is a triangle with specific angle measures, such as the 30-60-90 triangle and the 45-45-90 triangle, which have known ratios for their side lengths.

BR Pythagorean Theorem Review Flashcards

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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 are the side lengths of a right triangle?

Back

In a right triangle, the side lengths are typically referred to as the two legs (a and b) and the hypotenuse (c), which is the longest side opposite the right angle.

3.

FLASHCARD QUESTION

Front

True or False: A triangle with side lengths 6, 12, and 13 is a right triangle.

Back

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

True or False: A triangle with side lengths 3, 4, and 5 is a right triangle.

Back

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

If one leg of a right triangle is 9 and the other leg is 12, what is the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.7

6.

FLASHCARD QUESTION

Front

What is the value of u if the legs of a right triangle are 9 and u, and the hypotenuse is 15?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

What is the value of y if the legs of a right triangle are 4 and y, and the hypotenuse is 8?

Back

Tags

CCSS.8.G.B.7

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