What is the equation to find a missing side when given the hypotenuse and one leg?

The equation is: $$a^2 + b^2 = c^2$$ , where c is the hypotenuse.

What is the value of c if a = 9 and b = 12 in a right triangle?

Using the Pythagorean Theorem: $$9^2 + 12^2 = c^2$$ , we find that $$c = 15$$ .

What is a right triangle?

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

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

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

What is the Pythagorean triplet?

A Pythagorean triplet consists of three positive integers a, b, and c, such that $$a^2 + b^2 = c^2$$ . Example: (3, 4, 5).

How can you determine if a triangle is a right triangle using the Pythagorean Theorem?

If the squares of the lengths of the two shorter sides equal the square of the length of the longest side, then it is a right triangle.

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 area of a right triangle with legs of length 6 and 8?

The area is given by: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 6 \times 8 = 24$$ square meters.

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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

In a right triangle, if the lengths of the two legs are 6 meters and 8 meters, what is the length of the hypotenuse?

Back

6.

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 equals the square of the longest side (hypotenuse).

7.

FLASHCARD QUESTION

Front

If the hypotenuse of a right triangle is 13 meters and one leg is 5 meters, what is the length of the other leg?

Back

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