Unit 5 Retest

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is represented as: $$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is represented as: $$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is represented as: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$.

Front

How do you solve for x using the sine ratio?

Back

To solve for x using the sine ratio, rearrange the equation: $$\sin(\theta) = \frac{x}{\text{hypotenuse}}$$ to find $$x = \text{hypotenuse} \cdot \sin(\theta)$$.

Front

How do you solve for x using the cosine ratio?

Back

To solve for x using the cosine ratio, rearrange the equation: $$\cos(\theta) = \frac{x}{\text{hypotenuse}}$$ to find $$x = \text{hypotenuse} \cdot \cos(\theta)$$.

Front

How do you solve for x using the tangent ratio?

Back

To solve for x using the tangent ratio, rearrange the equation: $$\tan(\theta) = \frac{x}{\text{adjacent}}$$ to find $$x = \text{adjacent} \cdot \tan(\theta)$$.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): $$a^2 + b^2 = c^2$$.

Front

How can you determine if three sides can form a triangle?

Back

To determine if three sides can form a triangle, check if the sum of the lengths of any two sides is greater than the length of the third side. This is known as the triangle inequality theorem.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three interior angles are less than 90 degrees.

Front

What is a right triangle?

Back

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