Identifying Sides in Right-Angled Triangles

Rachel explains how to identify the hypotenuse, opposite, and adjacent sides in right-angled triangles, which is essential for trigonometry. She describes the hypotenuse as the longest side opposite the right angle, the opposite side as the one opposite a given angle, and the adjacent side as the one next to the given angle but not the hypotenuse. Understanding these sides is crucial for performing trigonometric calculations.

What is the primary purpose of identifying sides in right-angled triangles?

• To find the perimeter of the triangle

• To determine the type of triangle

• To perform trigonometric calculations

• To calculate the area of the triangle

Which side is always opposite the right angle in a right-angled triangle?

• Base

• Adjacent

• Opposite

• Hypotenuse

How can the hypotenuse be identified in a triangle that appears upside down?

• It is the side opposite the right angle

• It is the side with the smallest angle

• It is the shortest side

• It is the side adjacent to the right angle

Which side is always the longest in a right-angled triangle?

• Adjacent

• Opposite

• Hypotenuse

• Base

What determines the opposite side in a right-angled triangle?

• The size of the right angle

• The position of the hypotenuse

• The given angle

• The length of the side

In a triangle with a given angle of 34 degrees, which side is the opposite?

• The side opposite the angle

• The hypotenuse

• The side adjacent to the angle

• The base

What does the term 'adjacent' mean in the context of right-angled triangles?

• The longest side

• Opposite to the angle

• The shortest side

• Next to the angle

Which side is never considered the adjacent side?

• The base

• The side opposite the angle

• The hypotenuse

• The side next to the angle

Why is it important to identify all sides before performing trigonometric calculations?

• To ensure accurate calculations

• To determine the type of triangle

• To measure the angles

• To find the area of the triangle

What is the first step in trigonometry involving right-angled triangles?

• Calculating the angles

• Identifying the sides

• Measuring the hypotenuse

• Finding the perimeter