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

In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse: $$a^2 + b^2 = c^2$$ .

If a right triangle has legs of length 5 and 12, what is the length of the hypotenuse?

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

What is the Pythagorean Theorem used for?

The Pythagorean Theorem is used to determine the lengths of sides in right triangles.

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 formula to find a leg when given the hypotenuse and the other leg?

The formula is: $$a = \text{sqrt}(c^2 - b^2)$$ .

Can the Pythagorean Theorem be used for non-right triangles?

No, the Pythagorean Theorem only applies to right triangles.

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.

Pythagorean Theorem(find the missing side length) Flashcards

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14 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

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

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

Which side of a right triangle is always the longest?

Back

The hypotenuse (c) is always the longest side of a right triangle.

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What do you do if you know the hypotenuse and one leg?

Back

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