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

In a right triangle, the side opposite the largest angle (90 degrees) is the hypotenuse, and the other two sides are the legs.

How do you find the angle of elevation?

The angle of elevation is found using the inverse trigonometric functions, typically using the tangent function: $$\theta = \text{tan}^{-1}igg(\frac{\text{opposite}}{\text{adjacent}}igg)$$ .

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

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

What is the sine rule?

The sine rule states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant: $$\frac{a}{\text{sin}(A)} = \frac{b}{\text{sin}(B)} = \frac{c}{\text{sin}(C)}$$ .

What is the cosine rule?

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles: $$c^2 = a^2 + b^2 - 2ab \times \text{cos}(C)$$ .

How do you convert degrees to radians?

To convert degrees to radians, multiply by $$\frac{\text{π}}{180}$$ .

What is the significance of the 45-45-90 triangle?

In a 45-45-90 triangle, the legs are equal in length, and the hypotenuse is $$\text{leg} \times \text{sqrt}(2)$$ .

What is the significance of the 30-60-90 triangle?

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2, where the side opposite the 30-degree angle is the shortest.

Right Triangle Trig & Area Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

2.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

What are the three primary trigonometric functions?

Back

The three primary trigonometric functions are Sine (sin), Cosine (cos), and Tangent (tan).

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

How do you calculate the sine of an angle in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

How do you calculate the cosine of an angle in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

How do you calculate the tangent of an angle in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

What is Heron's Formula for the area of a triangle?

Back

Tags

CCSS.HSG.SRT.D.9

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