Right Triangle Properties and Theorems

The video tutorial explains the parts of a right triangle, focusing on the right angle, hypotenuse, and legs. It discusses how to identify adjacent and opposite sides based on the angle of reference, which is crucial for applying the Pythagorean theorem and trigonometry. The tutorial emphasizes the importance of understanding these concepts for solving geometric and trigonometric problems.

What is a defining feature of a right triangle?

• It has three acute angles.

• It has one right angle.

• It has two equal sides.

• It has one obtuse angle.

How many right angles can a triangle have?

• None

• Three

• Two

• One

What is the sum of all angles in a triangle?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

What happens if a triangle has more than one right angle?

• It becomes a square

• It becomes a rectangle

• It becomes an obtuse triangle

• It is not possible

What is the longest side of a right triangle called?

• Base

• Adjacent

• Height

• Hypotenuse

In a right triangle, what are the two shorter sides called?

• Bases

• Legs

• Hypotenuses

• Angles

What is the side opposite the right angle in a right triangle?

• Base

• Hypotenuse

• Opposite

• Adjacent

Which side is called the adjacent side in a right triangle?

• The longest side

• The hypotenuse

• The side next to the angle

• The side opposite the angle

Why is it important to identify the hypotenuse in a right triangle?

• To determine the type of triangle

• To find the perimeter

• To apply the Pythagorean theorem

• To calculate the area

What is the Pythagorean theorem used for?

• Calculating the area of a triangle

• Determining the type of triangle

• Finding the length of the hypotenuse

• Calculating the perimeter