Finding Missing Sides in 45-45-90 Triangles

The video tutorial explains the properties of 45-45-90 triangles, focusing on the relationship between the legs and the hypotenuse. It demonstrates how to calculate the hypotenuse when given a leg length and vice versa, using the square root of 2. The tutorial includes examples to illustrate these calculations and discusses rationalizing the denominator when necessary.

What is the ratio of sides in a 45-45-90 triangle?

• 1:1:√2

• 1:√2:2

• 1:2:√3

• 1:1:2

What is the approximate value of √2 used in the video?

• 1.2

• 1.5

• 1.4

• 1.3

What is the significance of the square root of 2 in a 45-45-90 triangle?

• It is the ratio of the hypotenuse to the leg.

• It is the perimeter of the triangle.

• It is the height of the triangle.

• It is the area of the triangle.

If one leg of a 45-45-90 triangle is 3 units, what is the length of the hypotenuse?

• 4.5 units

• 6 units

• 3√2 units

• 3 units

What property makes the legs of a 45-45-90 triangle equal?

• Pythagorean theorem

• Isosceles property

• Equilateral property

• Scalene property

Given the hypotenuse of a 45-45-90 triangle is 4√2, what is the length of one leg?

• 2 units

• 4√2 units

• 4 units

• 8 units

How do you find the leg length if the hypotenuse is given in a 45-45-90 triangle?

• Divide the hypotenuse by √2

• Square the hypotenuse

• Divide the hypotenuse by 2

• Multiply the hypotenuse by √2

How do you eliminate the radical in the denominator when finding the leg length?

• Square the denominator

• Multiply by 2

• Divide by 2

• Multiply by √2/√2

If the hypotenuse of a 45-45-90 triangle is 10 units, what is the length of one leg?

• 7.5 units

• 5 units

• 5√2 units

• 10 units

What is the result of rationalizing the denominator when dividing by √2?

• The denominator becomes 2

• The denominator becomes 1

• The denominator becomes √2

• The denominator becomes 4