Exploring 45-45-90 Right Triangles in Trigonometry

This video tutorial focuses on the 45-45-90 triangle, a special right triangle with two equal sides and a hypotenuse that is the side length times the square root of two. The video explains how to use this triangle to solve problems, especially useful for SAT and HT exams. It provides examples and practice problems, demonstrating how to find missing sides and apply this knowledge in exam scenarios. The tutorial concludes with a brief introduction to the next topic, the 30-60-90 triangle.

What type of triangle is a 45-45-90 triangle?

• Scalene triangle

• Isosceles right triangle

• Acute triangle

• Equilateral triangle

If one leg of a 45-45-90 triangle measures 1 unit, what is the length of the hypotenuse?

• 1 unit

• 2 units

• 1.5 units

• √2 units

How do you find the hypotenuse if you know the length of one leg in a 45-45-90 triangle?

• Multiply the leg length by 2

• Square the leg length

• Multiply the leg length by √2

• Divide the leg length by √2

If a leg of a 45-45-90 triangle is 5 units, what is the length of the hypotenuse?

• 5√2 units

• 10 units

• 5 units

• 2.5√2 units

Given the hypotenuse of a 45-45-90 triangle is 14√2, what is the length of each leg?

• 28

• 7

• 14

• 7√2

How do you find a leg length from the hypotenuse in a 45-45-90 triangle?

• Multiply by √2

• Divide by √2

• Multiply by 2

• Divide by 2

In a 45-45-90 triangle, if the hypotenuse is 10 units, what is the length of each leg?

• 5√2 units

• 10 units

• 5 units

• 10√2 units

What is the result of rationalizing the denominator of 10/√2?

• 10√2

• 5√2

• 5

• 10

What is the area of a 45-45-90 triangle if both legs are 8√2 units?

• 128 square units

• 64 square units

• 256 square units

• 32 square units

If the hypotenuse of a 45-45-90 triangle is 16 units, what are the lengths of the legs?

• 8√2 units

• 16√2 units

• 16 units

• 8 units