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: $$\text{tangent}(\theta) = \frac{{\text{opposite}}}{{\text{adjacent}}}$$ .

How do you find the distance from the base of a tree to the point where a cable is attached?

Use the Pythagorean theorem: if the height of the tree is one side and the length of the cable is the hypotenuse, find the distance using $$d = \text{sqrt}(c^2 - h^2)$$ .

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

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

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 : $$\frac{\text{sqrt}(3)}{2}$$ : 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 $$\text{leg} \times \text{sqrt}(2)$$ .

How do you find the measure of an angle in a right triangle?

You can use trigonometric ratios: for example, use the inverse sine, cosine, or tangent functions to find the angle based on the sides.

What is the significance of the 90-degree angle in a right triangle?

The 90-degree angle defines the triangle as a right triangle and is crucial for applying the Pythagorean theorem and trigonometric functions.

Right Triangles - Review Set A Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

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

2.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in any triangle is 180 degrees. In a right triangle, the two non-right angles must sum to 90 degrees.

5.

FLASHCARD QUESTION

Front

What is the definition of the hypotenuse?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

6.

FLASHCARD QUESTION

Front

How do you calculate the height of an object using a right triangle?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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