If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$c = \\sqrt{3^2 + 4^2} = \\sqrt{9 + 16} = \\sqrt{25} = 5$$ .

What is the length of the other leg if one leg is 5 and the hypotenuse is 13?

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

What is a right triangle?

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

What is the hypotenuse in a right triangle?

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

If the hypotenuse is 15 and one leg is 9, what is the length of the other leg?

Using the Pythagorean Theorem: $$b = \\sqrt{15^2 - 9^2} = \\sqrt{225 - 81} = \\sqrt{144} = 12$$ .

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 in real life?

The Pythagorean Theorem can be used in various real-life situations, such as determining the height of a tree using its shadow and the distance from the tree.

What is the significance of the Pythagorean Theorem in geometry?

The Pythagorean Theorem is fundamental in geometry as it establishes a relationship between the sides of right triangles, which is essential for various applications in mathematics and science.

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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

3.

FLASHCARD QUESTION

Front

What is the formula for the Pythagorean Theorem?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is the length of one leg of a right triangle if the hypotenuse is 10 and the other leg is 6?

Back

6.

FLASHCARD QUESTION

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem cannot be used for obtuse triangles.

7.

FLASHCARD QUESTION

Front

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

Back

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

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