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

In a right triangle, the relationship between the sides is defined by the Pythagorean Theorem: the sum of the squares of the two shorter sides equals the square of the longest side.

Can the Pythagorean Theorem be used for obtuse triangles?

No, the Pythagorean Theorem cannot be used for obtuse triangles; it only applies to right triangles.

What is the value of $$c$$ in a right triangle with sides 8 and 6?

Using the Pythagorean Theorem: $$c = \text{sqrt}(8^2 + 6^2) = \text{sqrt}(64 + 36) = \text{sqrt}(100) = 10$$ .

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

Yes, the triangle with sides 7, 24, and 25 is a right triangle because it satisfies the Pythagorean Theorem: $$7^2 + 24^2 = 25^2$$ .

What is the Pythagorean triple?

A Pythagorean triple consists of three positive integers a, b, and c, such that $$a^2 + b^2 = c^2$$ . An example is (3, 4, 5).

What is the significance of the hypotenuse in a right triangle?

The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is crucial for applying the Pythagorean Theorem.

How do you determine if a set of three lengths can form a right triangle?

To determine if three lengths can form a right triangle, check if they satisfy the Pythagorean Theorem: $$a^2 + b^2 = c^2$$ , where c is the longest side.

What is the converse of the Pythagorean Theorem?

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

Pythagorean Theorem Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

In a right triangle, which side is the longest?

Back

In a right triangle, side c (the hypotenuse) is ALWAYS the longest side.

4.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is the formula to find a missing side in a right triangle?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

If one side of a right triangle is 15 and the hypotenuse is 21, what is the length of the other side?

Back

Tags

CCSS.8.G.B.7

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