What is the definition of a right triangle?

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

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.

If the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

Using the Pythagorean Theorem: $$b = \text{sqrt}(13^2 - 5^2) = \text{sqrt}(169 - 25) = \text{sqrt}(144) = 12$$ .

What is the converse of the Pythagorean Theorem?

The converse states that if a triangle has sides of 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 area of a right triangle with legs of length 5 and 12?

The area of a right triangle is given by: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 5 \times 12 = 30$$ .

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

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

What is the length of the hypotenuse if both legs are equal to 1?

Using the Pythagorean Theorem: $$c = \text{sqrt}(1^2 + 1^2) = \text{sqrt}(1 + 1) = \text{sqrt}(2)$$ .

Pythagorean Theorem 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 to find the length of the hypotenuse?

Back

3.

FLASHCARD QUESTION

Front

What is the hypotenuse in a right triangle?

Back

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

4.

FLASHCARD QUESTION

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as side a and side b.

5.

FLASHCARD QUESTION

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the value of c if a = 6 and b = 8?

Back

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