What is the cosine function in relation to a right triangle?

The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse: $$\text{cosine}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$ .

What is the tangent function in relation to a right triangle?

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side: $$\text{tangent}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

If one leg of a right triangle is 5 and the other leg is 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 area of a right triangle?

The area of a right triangle can be calculated using the formula: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

How do you find the missing side of a right triangle when given one side and the hypotenuse?

Use the Pythagorean Theorem: If you know the hypotenuse (c) and one leg (a), find the other leg (b) using: $$b = \text{sqrt}(c^2 - a^2)$$ .

What is the definition of an altitude in a triangle?

An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.

What is the significance of the 3-4-5 triangle?

The 3-4-5 triangle is a special right triangle where the sides are in the ratio 3:4:5, which satisfies the Pythagorean Theorem, making it a quick reference for determining right angles.

Right Triangle Toolkit Review Flashcards

Student preview

14 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

How do you find the length of a side in a right triangle using the Pythagorean Theorem?

Back

3.

FLASHCARD QUESTION

Front

What is the definition of a right triangle?

Back

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

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 calculate the hypotenuse of a right triangle if the lengths of the other two sides are known?

Back

7.

FLASHCARD QUESTION

Front

What is the sine function in relation to a right triangle?

Back

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