How to find the missing length of a triangle without a calculator

The video tutorial covers special right triangles, focusing on calculating side lengths using trigonometric ratios. It explains the process of solving for unknowns in triangles, emphasizing the sine of 60 degrees. The instructor corrects common mistakes and demonstrates rationalizing denominators, ensuring a comprehensive understanding of the topic.

In a 30-60-90 triangle, if the short leg is 7, what is the length of the hypotenuse?

• 7 * sqrt(3)

• 21

• 7 / sqrt(3)

• 14

Which side is opposite the 60-degree angle in a right triangle?

• The hypotenuse

• The side adjacent to the 60-degree angle

• The side opposite the 30-degree angle

• The side opposite the 60-degree angle

What is the sine of 60 degrees?

• 3/2

• 2/3

• sqrt(3)/2

• 1/2

How do you solve for a side length when the sine of an angle is given?

• Divide by the sine value

• Multiply by the hypotenuse

• Multiply by the reciprocal of the sine value

• Add the sine value to the hypotenuse

What is the final step to rationalize the denominator in a fraction?

• Divide by the numerator

• Multiply by the numerator

• Multiply by the square root of the denominator

• Multiply by the conjugate of the denominator