Understanding Special Right Triangles

In this video, Pak Beni reviews the properties of special right triangles, specifically the 45°-45°-90° and 30°-60°-90° triangles. He explains how to determine the side ratios of these triangles and provides practice problems to reinforce the concepts. The video aims to help students understand and apply these properties in solving geometric problems.

What is the sum of all angles in any triangle?

• 270°

• 360°

• 180°

• 90°

In a 45°-45°-90° triangle, what is the ratio of the sides opposite the 45° angles?

• 1:1:√2

• 1:√3:2

• 1:2:√3

• 1:1:1

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

• 5√2

• 10

• 5

• 5√3

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

• 10√2

• 5√2

• 5

• 10

What is the ratio of the sides in a 30°-60°-90° triangle?

• 1:√2:2

• 1:2:√3

• 1:√3:2

• 1:1:√2

Which of the following is a special right triangle?

• Neither A nor B

• 45°-45°-90°

• Both A and B

• 30°-60°-90°

In a 30°-60°-90° triangle, if the shorter leg is 4 units, what is the length of the hypotenuse?

• 4

• 6

• 8

• 4√3

In a 30°-60°-90° triangle, if the hypotenuse is 10 units, what is the length of the longer leg?

• 5

• 10

• 5√3

• 10√3

What is the perimeter of a square with a side length of 18 units?

• 72

• 36

• 54

• 90

If the longer leg of a 30°-60°-90° triangle is 6√3 units, what is the length of the shorter leg?

• 3

• 6

• 3√3

• 12