Find the value of sine of my given triangle

The video tutorial explains how to find the sine of an angle in a right triangle. It begins by identifying the hypotenuse, adjacent, and opposite sides of the triangle. The sine function is defined as the ratio of the opposite side to the hypotenuse. The tutorial demonstrates calculating the sine of angle X using given side lengths and simplifies the resulting fraction to its simplest form.

Which side of a right triangle is always opposite the 90-degree angle?

• Hypotenuse

• Adjacent side

• Opposite side

• Base

What is the sine of an angle in a right triangle defined as?

• Adjacent side over hypotenuse

• Opposite side over hypotenuse

• Adjacent side over opposite side

• Hypotenuse over opposite side

If the opposite side is 24 and the hypotenuse is 40, what is the sine of the angle?

• 4/5

• 3/5

• 5/8

• 2/3

What is the greatest common divisor used to simplify the ratio 24/40?

• 8

• 10

• 4

• 6

What is the final simplified form of the sine of angle X in the given triangle?

• 5/6

• 3/5

• 2/5

• 4/5