What is a right triangle?

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

If a right triangle has legs of lengths 8 and 15, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$c^2 = 8^2 + 15^2 = 64 + 225 = 289$$ , so $$c = 17$$ .

What is the relationship between the sides of a 30-60-90 triangle?

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : $$\frac{\text{√3}}{2}$$ : 2.

What is the relationship between the sides of a 45-45-90 triangle?

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is $$\text{leg} \times \text{√2}$$ .

Find the missing side: One leg is 9, and the hypotenuse is 15. What is the length of the other leg?

Using the Pythagorean Theorem: $$a^2 = 15^2 - 9^2 = 225 - 81 = 144$$ , so $$a = 12$$ .

What is the converse of the Pythagorean Theorem?

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

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

Yes, because $$25^2 = 7^2 + 24^2 = 49 + 576 = 625$$ , which confirms the Pythagorean Theorem.

What is the significance of the Pythagorean Theorem in real life?

The Pythagorean Theorem is used in various fields such as architecture, construction, navigation, and physics to calculate distances and design structures.

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 is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the Hypotenuse.

3.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.7

4.

FLASHCARD QUESTION

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY applies to right triangles.

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

Find the missing side: One leg is 5, the other leg is 12. What is the hypotenuse?

Back

Tags

CCSS.8.G.B.7

6.

FLASHCARD QUESTION

Front

What is the formula for finding the length of a leg in a right triangle?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

If the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

Back

Tags

CCSS.8.G.B.8

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