Solving Special Right Triangles: 30-60-90 & 45-45-90 Methods

How many methods for solving special right triangles are introduced?

• Two

• Three

• Four

• Five

What is the first method introduced for solving special right triangles?

• Shortcut Method

• Equation Method

• Proportion Method

• Pythagorean Theorem

In a 30-60-90 triangle, what is the length of the side opposite the 30-degree angle?

• Square root of 2

• 2

• Square root of 3

• 1

In the proportion method, what do you compare to form a proportion?

• Perimeters of the triangles

• Corresponding sides of the triangles

• Areas of the triangles

• Angles of the triangles

What is the purpose of rationalizing the denominator in the proportion method?

• To simplify the expression

• To find the hypotenuse

• To eliminate the square root from the denominator

• To convert the triangle into an equilateral triangle

What is the ratio of the sides in a 45-45-90 triangle?

• 1:1:Square root of 2

• 1:Square root of 2:2

• 1:1:2

• 1:2:Square root of 3

When using the equation method, how is the side across from the 60-degree angle in a 30-60-90 triangle described?

• X divided by Square root of 3

• X times Square root of 3

• 2X

• X

For the equation method, what is the length of the hypotenuse in a 45-45-90 triangle if one leg is 5?

• 10

• 5

• 5 Square root of 2

• 10 Square root of 2

Using the shortcut method, how do you find the longer leg in a 30-60-90 triangle if the short leg is given?

• Divide by Square root of 3

• Divide by 2

• Multiply by Square root of 3

• Multiply by 2

What is the first step in the shortcut method when given the hypotenuse of a 30-60-90 triangle?

• Multiply by 2

• Divide by 2

• Divide by Square root of 3

• Multiply by Square root of 3