What is a right triangle?

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

What are the legs of a right triangle?

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

What is the hypotenuse of a right triangle?

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

If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, is it a right triangle?

Yes, because $$5^2 + 12^2 = 25 + 144 = 169 = 13^2$$ .

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 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.

How can the Pythagorean Theorem be applied to find the diagonal of a rectangle?

The diagonal of a rectangle can be found using the lengths of its sides as the legs of a right triangle: $$d = \text{sqrt}(length^2 + width^2)$$ .

What is an example of a real-world application of the Pythagorean Theorem?

An example is determining the shortest path between two points in a city, which can be visualized as a right triangle.

Pythagorean Theorem Flashcards

Student preview

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 in a right triangle?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides (legs) equals the square of the longest side (hypotenuse).

5.

FLASHCARD QUESTION

Front

How do you find the length of one side if you know the hypotenuse and one other side?

Back

6.

FLASHCARD QUESTION

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

7.

FLASHCARD QUESTION

Front

In a right triangle, if one leg is 6 cm and the hypotenuse is 10 cm, what is the length of the other leg?

Back

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