What does it mean if $$c^2 = a^2 + b^2$$ ?

If $$c^2 = a^2 + b^2$$ , the triangle is a right triangle.

What does it mean if $$c^2 > a^2 + b^2$$ ?

If $$c^2 > a^2 + b^2$$ , the triangle is obtuse.

How do you round a decimal to the nearest tenth?

To round a decimal to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

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 : $$\sqrt{3}$$ : 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 $$\sqrt{2}$$ times the length of a leg.

If a triangle has sides of lengths 8, 15, and 17, is it a right triangle?

Yes, because $$17^2 = 8^2 + 15^2$$ (289 = 64 + 225).

What is the formula to calculate the area of a right triangle?

The area of a right triangle is given by the formula: $$Area = \frac{1}{2} \times base \times height$$ .

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

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

How can you determine if a triangle is obtuse using side lengths?

To determine if a triangle is obtuse, check if the square of the longest side is greater than the sum of the squares of the other two sides: $$c^2 > a^2 + b^2$$ .

What is a radical expression?

A radical expression is an expression that includes a root, such as a square root (e.g., $$\sqrt{2}$$ ) or cube root (e.g., $$\sqrt[3]{x}$$ ).

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

How do you find the length of the missing side in a right triangle?

Back

Tags

CCSS.8.G.B.7

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

What is the radical form of the hypotenuse if the sides are 5 and 12?

Back

Tags

CCSS.8.G.B.8

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