Right Angle Triangle Concepts

The video tutorial by Shumpasari at Asin Academy covers the properties of right angle triangles, including the Pythagorean Theorem, and the concepts of circumcircle and incircle. It explains how to calculate the perimeter and area of right angle triangles, and how to use the Pythagorean Theorem to find missing sides. The video also discusses the properties of circumcircle and incircle, providing formulas for their radii and areas. The tutorial concludes with contact information for further queries.

What is the most important property of a right angle triangle?

• All sides are equal

• One angle is 90 degrees

• All angles are equal

• It has no angles

If a triangle is right-angled at vertex B, what is the sum of angles A and C?

• 60 degrees

• 45 degrees

• 180 degrees

• 90 degrees

What is the longest side of a right angle triangle called?

• Perpendicular

• Hypotenuse

• Height

• Base

If the height and base of a right angle triangle are equal, what are the measures of angles A and C?

• 90 degrees

• 45 degrees

• 60 degrees

• 30 degrees

How is the perimeter of a right angle triangle calculated?

• p + b + h

• p + h

• p + b

• 2p + 2b

What is the formula for the area of a right angle triangle?

• Base x Height

• Base - Height

• 1/2 x Base x Height

• Base + Height

What does the Pythagorean Theorem state?

• The area is half the product of the base and height

• The perimeter is the sum of all sides

• The sum of the squares of the two shorter sides equals the square of the hypotenuse

• The sum of the angles is 180 degrees

Which of the following is a Pythagorean triplet?

• 2, 3, 4

• 3, 4, 5

• 5, 6, 7

• 7, 8, 9

What is the radius of the circumcircle of a right angle triangle with hypotenuse h?

• 2h

• h/2

• h/4

• h

Where does the center of the circumcircle of a right angle triangle lie?

• At the vertex of the right angle

• At the midpoint of the hypotenuse

• At the midpoint of the height

• At the midpoint of the base