Properties of Special Right Triangles

The video tutorial explains how to use the properties of special right triangles, specifically 30-60-90 and 45-45-90 triangles, to solve real-world problems. It covers calculating the perimeter of a rectangle using 30-60-90 triangles and determining the distance from home plate to second base in a baseball field using 45-45-90 triangles. The tutorial emphasizes understanding the ratios of side lengths in these triangles and applying them to practical scenarios.

What is the main focus of the video tutorial?

• Properties of special right triangles

• Introduction to algebra

• Basics of calculus

• Understanding geometry

What is the side length ratio of a 45-45-90 triangle?

• 1:2:√3

• 1:1:2

• 1:√3:2

• 1:1:√2

What is the side length ratio of a 30-60-90 triangle?

• 1:√3:2

• 1:1:√2

• 1:1:2

• 1:2:√3

How can the properties of 30-60-90 triangles be used in real-world problems?

• To measure the height of a building

• To calculate the area of a circle

• To find the perimeter of a rectangle

• To determine the volume of a cube

What is the length of the short leg in a 30-60-90 triangle if the hypotenuse is 8?

• 4√3

• 4

• 2√3

• 8

What is the length of the long leg in a 30-60-90 triangle if the hypotenuse is 8?

• 2√3

• 4

• 8

• 4√3

How do you calculate the perimeter of a rectangle using 30-60-90 triangle properties?

• Multiply all side lengths

• Subtract the diagonal from the perimeter

• Divide the diagonal by the side length

• Add all side lengths

What shape is the infield of a baseball field?

• Triangle

• Circle

• Rectangle

• Square

What is the length from home plate to second base in a baseball field if the distance from home plate to first base is 90 ft?

• 90√2 ft

• 90 ft

• 127 ft

• 180 ft

What type of triangle is formed in the baseball field problem?

• Equilateral triangle

• Right triangle

• Scalene triangle

• Isosceles triangle