5-8 Applying Special Right Triangles - GEOMETRY

The video tutorial covers special right triangles, focusing on 45-45-90 and 30-60-90 triangles. It explains their unique properties, such as angle measures and side ratios, and provides methods for calculating side lengths using square roots. The tutorial includes practical examples and emphasizes the importance of understanding these concepts for solving geometry problems.

What is the relationship between the angles in a 45-45-90 triangle?

• The angles are 30, 30, and 120 degrees.

• The angles are 30, 60, and 90 degrees.

• The angles are 45, 45, and 90 degrees.

• The angles are 60, 60, and 60 degrees.

How do you find the hypotenuse in a 45-45-90 triangle if one side is known?

• Add the side to itself.

• Divide the side by 2.

• Multiply the side by the square root of 2.

• Multiply the side by 3.

In a 30-60-90 triangle, what is the relationship between the 30 side and the hypotenuse?

• The hypotenuse is twice the 30 side.

• The hypotenuse is half the 30 side.

• The hypotenuse is the same as the 30 side.

• The hypotenuse is three times the 30 side.

What is the formula to find the 60 side in a 30-60-90 triangle?

• Add the 30 side to the hypotenuse.

• Multiply the 30 side by the square root of 3.

• Multiply the 30 side by 2.

• Divide the 30 side by the square root of 3.

If the hypotenuse of a 30-60-90 triangle is given, what should you do first to find the 30 side?

• Add the hypotenuse to the 60 side.

• Subtract the 60 side from the hypotenuse.

• Divide the hypotenuse by 2.

• Multiply the hypotenuse by the square root of 3.

How do you rationalize the denominator when dividing by a square root?

• Divide by the square root of the denominator.

• Subtract the square root of the denominator.

• Multiply by the square root of the denominator.

• Add the square root of the denominator.

What is the result of multiplying a square root by itself?

• One.

• Zero.

• The original number.

• The square root of the original number.