Right Triangle Properties and Formulas

The video tutorial covers the properties and terminology of right triangles, including vertices, hypotenuse, and catheti. It explains key formulas such as the Pythagorean theorem and the relationship between the height and projections of the catheti. The tutorial also demonstrates how to apply these formulas in practical exercises, helping students understand and memorize the concepts effectively.

What is the term used for the side opposite the right angle in a right triangle?

• Hypotenuse

• Base

• Cathetus

• Height

Which sides are referred to as the 'catetos' in a right triangle?

• The sides adjacent to the right angle

• The hypotenuse

• The projections

• The height

What is the relationship between the height squared and the projections in a right triangle?

• Height squared equals the sum of the projections

• Height squared equals the product of the projections

• Height squared equals the difference of the projections

• Height squared equals the quotient of the projections

How can you remember the formula for height squared in a right triangle?

• By visualizing the triangle and its projections

• By memorizing the formula

• By practicing with exercises

• By using a mnemonic

What does the Pythagorean theorem state?

• The difference of the squares of the catetos equals the hypotenuse

• The product of the catetos equals the hypotenuse

• The sum of the squares of the catetos equals the square of the hypotenuse

• The sum of the catetos equals the hypotenuse

What is the formula involving the base, height, and catetos?

• Base times height equals the sum of the catetos

• Base times height equals the product of the catetos

• Base times height equals the difference of the catetos

• Base times height equals the quotient of the catetos

How is the shadow of a cateto used in a formula?

• Cateto squared equals its shadow times the height

• Cateto squared equals its shadow times the hypotenuse

• Cateto squared equals its shadow times the other cateto

• Cateto squared equals its shadow times the base

What is the value of the hypotenuse if the sum of the two measures is 25?

• 9

• 25

• 20

• 16

How do you find the height if the product of the projections is 144?

• Height equals the square root of 9 times 16

• Height equals 144

• Height equals 12

• Height equals the square root of 144

What is the value of a cateto if its shadow is 9 and the hypotenuse is 25?

• 15

• 20

• 12

• 9