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: $$\text{sqrt}(3):2$$ . The side opposite the 30° angle is the shortest.

SOH CAH TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = Sine = $$\frac{O}{H}$$ , CAH = Cosine = $$\frac{A}{H}$$ , TOA = Tangent = $$\frac{O}{A}$$ .

How do you find the area of a right triangle?

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

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

The perimeter of a right triangle is the sum of the lengths of all three sides: $$\text{Perimeter} = a + b + c$$ .

How do you solve for a missing side using trigonometric ratios?

To solve for a missing side using trigonometric ratios, identify the known angle and the sides involved, then use the appropriate ratio (sine, cosine, or tangent) to set up an equation.

What is the value of $$\text{sin}(30^\text{o})$$ ?

The value of $$\text{sin}(30^\text{o})$$ is $$\frac{1}{2}$$ .

What is the value of $$\text{cos}(60^\text{o})$$ ?

The value of $$\text{cos}(60^\text{o})$$ is $$\frac{1}{2}$$ .

What is the value of $$\text{tan}(45^\text{o})$$ ?

The value of $$\text{tan}(45^\text{o})$$ is 1.

Finding Sides of Right Triangles Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What is the formula to find the length of a side in a right triangle?

Back

Tags

CCSS.8.G.B.7

3.

FLASHCARD QUESTION

Front

What is the sine ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the cosine ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the tangent ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

How do you find the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.8

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