How do you find the angle using the tangent function?

To find the angle using the tangent function, use the inverse tangent function: $$\theta = \text{tan}^{-1}igg(\frac{\text{opposite}}{\text{adjacent}}igg)$$ .

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, the side opposite the 60° angle is $$\text{sqrt}(3)$$ times the shortest side, and the hypotenuse is twice the shortest side.

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 length of the hypotenuse is $$\text{sqrt}(2)$$ times the length of each leg. The ratio of the sides is 1 : 1 : $$\text{sqrt}(2)$$ .

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 definition of a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

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

The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is crucial for applying the Pythagorean Theorem and trigonometric functions.

How do you determine if a triangle is a right triangle?

To determine if a triangle is a right triangle, check if the square of the length of the longest side equals the sum of the squares of the lengths of the other two sides using the Pythagorean Theorem: $$c^2 = a^2 + b^2$$ .

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

In a right triangle, the sum of the three angles is always 180 degrees. One angle is 90 degrees, and the sum of the other two angles must be 90 degrees.

GEOM CH 8 RIGHT TRIANGLES Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

How do you find the length of the hypotenuse in a right triangle?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

How do you find the angle using the sine function?

Back

7.

FLASHCARD QUESTION

Front

How do you find the angle using the cosine function?

Back

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