How to use a 45 45 90 special right triangle to determine the sides of a triangle

The video tutorial explains the properties of 45-45-90 triangles, emphasizing that the two legs are equal because they are derived from a square. It details how to calculate the hypotenuse by multiplying one leg by the square root of 2. The tutorial also covers how to approximate the hypotenuse when necessary.

What makes a 45-45-90 triangle special?

• It is an equilateral triangle.

• It has one right angle and two different angles.

• It has three equal sides.

• It has two equal legs and is part of a square.

If one leg of a 45-45-90 triangle is 11, what is the length of the other leg?

• 5.5

• 15

• 11

• 22

How do you calculate the hypotenuse of a 45-45-90 triangle?

• Add the lengths of the two legs

• Multiply one leg by 2

• Divide one leg by 2

• Multiply one leg by the square root of 2

What is the approximate value of the hypotenuse if each leg of a 45-45-90 triangle is 11?

• 22

• 11

• 15.5

• 11√2

Why might you need to approximate the hypotenuse in a 45-45-90 triangle?

• Because the triangle is not part of a square

• Because the legs are not equal

• Because the square root of 2 is an irrational number

• Because the exact value is always a whole number