If a right triangle has legs of length 6 cm and 8 cm, what is its area?

The area is $$A = \frac{1}{2} \times 6 \times 8 = 24 cm^2$$ .

What is the distance formula derived from the Pythagorean Theorem?

The distance (d) between two points (x1, y1) and (x2, y2) in a coordinate plane is given by: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

What is the probability of landing on a specific number when spinning a spinner with equal sections?

The probability of landing on a specific number is given by: $$P = \frac{1}{\text{total sections}}$$ .

If a spinner has 8 equal sections, what is the probability of landing on 3?

The probability is $$P = \frac{1}{8}$$ .

How do you calculate the probability of two independent events occurring?

To find the probability of two independent events both occurring, multiply their individual probabilities: $$P(A \text{ and } B) = P(A) \times P(B)$$ .

If the probability of landing on 3 in one spin is $$\frac{1}{8}$$ , what is the probability of landing on 3 twice in a row?

The probability is $$P = \frac{1}{8} \times \frac{1}{8} = \frac{1}{64}$$ .

What is the total number of chips in a bag if there are 5 yellow, 6 green, and the rest purple?

The total number of chips is 21. The number of purple chips is 21 - (5 + 6) = 10.

How do you calculate the probability of drawing a specific color chip from a bag?

The probability of drawing a specific color chip is given by: $$P = \frac{\text{number of specific color chips}}{\text{total number of chips}}$$ .

TEST Pythagorean Theorem Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the area of a right triangle?

Back

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