What is the tangent function in a right triangle?

The tangent function (tan) of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side. It can be expressed as: $$\text{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

How do you calculate the height of a triangle using the sine function?

The height (h) of a triangle can be calculated using the sine function as follows: $$h = \text{hypotenuse} \times \text{sin}(\theta)$$ .

What is the relationship between the angles in a triangle?

The sum of the interior angles in any triangle is always 180°.

What is the formula for the perimeter of a triangle?

The perimeter (P) of a triangle is the sum of the lengths of its sides: $$P = a + b + c$$ , where a, b, and c are the lengths of the sides.

What is the altitude of a triangle?

The altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side, representing the height of the triangle.

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

The length of the hypotenuse (c) can be found using the Pythagorean Theorem: $$c = \text{sqrt}(a^2 + b^2)$$ .

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.

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 $$\text{leg} \times \text{sqrt}(2)$$ .

Unit 4 Retest Flashcards

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

What is the sine function in a right triangle?

Back

3.

FLASHCARD QUESTION

Front

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

Back

In a right triangle, the side opposite the largest angle is the longest side (hypotenuse), and the side opposite the smallest angle is the shortest side.

4.

FLASHCARD QUESTION

Front

How do you find the length of a side of a square given the length of its diagonal?

Back

5.

FLASHCARD QUESTION

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60°.

6.

FLASHCARD QUESTION

Front

What is the formula for the area of a triangle?

Back

7.

FLASHCARD QUESTION

Front

What is the cosine function in a right triangle?

Back

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