What is the Pythagorean theorem?

In a right triangle, $$a^2 + b^2 = c^2$$ , where c is the hypotenuse.

How do you identify the adjacent side in a right triangle?

It is the side next to the angle of interest, excluding the hypotenuse.

How do you identify the opposite side in a right triangle?

It is the side opposite the angle of interest.

What is the sine ratio in a right triangle?

$$\text{sine}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$ .

What is the cosine ratio in a right triangle?

$$\text{cosine}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$ .

What is the tangent ratio in a right triangle?

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

If the hypotenuse is 10 and the opposite side is 6, what is the sine of the angle?

$$\text{sine}(\theta) = \frac{6}{10} = 0.6$$ .

If the adjacent side is 8 and the hypotenuse is 10, what is the cosine of the angle?

$$\text{cosine}(\theta) = \frac{8}{10} = 0.8$$ .

Lesson 1 - Labeling Sides of Right Triangles Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What type of triangles do you use the trig ratios with?

Back

Right triangle.

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

What is the length of the hypotenuse side if it is given as 8, 15, or 17?

Back

17.

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

Which side is marked with the variable x in a right triangle?

Back

Adjacent.

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the length of the opposite side if it is given as 8, 15, or 17?

Back

8.

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

What does Θ represent in a right triangle?

Back

An unknown angle measure.

6.

FLASHCARD QUESTION

Front

Define the hypotenuse in a right triangle.

Back

The longest side opposite the right angle.

7.

FLASHCARD QUESTION

Front

What are the two other sides of a right triangle called?

Back

Adjacent and opposite.

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