Right Triangle Properties and Relationships

This video tutorial covers two special types of right triangles: 30-60-90 and 45-45-90 triangles. It explains their properties, how to recognize them, and how to apply their formulas to solve SAT problems. The tutorial includes example problems for each triangle type and demonstrates how to use these triangles to solve a parallelogram area problem. Key tips and strategies for identifying and using these triangles in SAT math are also provided.

What are the two special types of right triangles discussed in this lesson?

• 30-30-60 and 45-45-90

• 30-45-90 and 60-60-60

• 30-60-90 and 45-45-90

• 45-45-90 and 60-60-60

In a 30-60-90 triangle, what is the ratio of the sides opposite the 30°, 60°, and 90° angles?

• x : x√3 : 2x

• x : 2x : x√3

• x√3 : x : 2x

• 2x : x : x√3

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the side opposite the 30° angle?

• 10

• 8

• 6

• 4

What is the length of the side opposite the 60° angle in a 30-60-90 triangle if the hypotenuse is 12?

• 6√3

• 6

• 12√3

• 3√3

How can an equilateral triangle be related to 30-60-90 triangles?

• It has no relation to 30-60-90 triangles.

• It is the same as a 30-60-90 triangle.

• It can be divided into two 30-60-90 triangles.

• It can be divided into two 45-45-90 triangles.

What does 'isoceles' mean in the context of a 45-45-90 triangle?

• Two angles are equal.

• All angles are equal.

• Two sides are equal.

• All sides are equal.

In a 45-45-90 triangle, what is the ratio of the sides?

• x√2 : x : x

• x : x√2 : x

• x : x : x√2

• x : x : 2x

If one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

• 2√2

• 4

• 4√2

• 8

What is the perimeter of a square if its diagonal is 5√2?

• 5

• 21

• 20

• 25

In the parallelogram problem, what is the length of the base?

• 4

• 10

• 6

• 8