What is the Pythagorean theorem?

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: $$a^2 + b^2 = c^2$$ .

How do you find the length of the hypotenuse if the lengths of the other two sides are known?

Use the Pythagorean theorem: $$c = \text{sqrt}(a^2 + b^2)$$ .

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

The larger the angle, the longer the opposite side and the shorter the adjacent side.

If the opposite side is 40 and the hypotenuse is 41, what is the sine of the angle?

$$\text{sin}(\theta) = \frac{40}{41}$$ .

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

The area is given by: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the definition of an angle in a right triangle?

An angle in a right triangle is formed by two sides, one of which is the hypotenuse, and the other is either the opposite or adjacent side.

Basic Trig Ratios Flashcards

Student preview

16 questions

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1.

FLASHCARD QUESTION

Front

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

Back

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

2.

FLASHCARD QUESTION

Front

What is the sine ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

What is the cosine ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the tangent ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

If the hypotenuse is 34 and the opposite side is 16, what is the sine of the angle?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

If the adjacent side is 30 and the hypotenuse is 34, what is the cosine of the angle?

Back

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

If the opposite side is 16 and the adjacent side is 30, what is the tangent of the angle?

Back

Tags

CCSS.HSG.SRT.C.6

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