Right Triangle Concepts and Calculations

The video tutorial explains how to work with a right triangle by labeling its sides and using the Pythagorean theorem to solve for the hypotenuse. It then demonstrates how to calculate the area of the triangle using the base and height. The tutorial provides a step-by-step approach to solving the problem, including setting up the equation, solving for the hypotenuse, and calculating the area.

What is the longest side of a right triangle called?

• Height

• Hypotenuse

• Base

• Leg

In a right triangle, if one leg is 5 meters, what is the expression for the other leg if it is 1 meter shorter than the hypotenuse?

• C - 1

• C / 1

• C + 1

• C * 1

What equation represents the relationship between the sides of a right triangle?

• a^2 - b^2 = c^2

• a^2 + b = c^2

• a^2 + b^2 = c^2

• a + b = c

How do you solve for the hypotenuse in the equation a^2 + b^2 = c^2?

• Add a and b

• Subtract a from b

• Square root of (a^2 + b^2)

• Multiply a and b

Which method is used to expand the expression (C - 1)^2?

• Pythagorean theorem

• FOIL method

• Quadratic formula

• Distributive property

What is the length of the hypotenuse if one leg is 5 meters and the other leg is 1 meter shorter than the hypotenuse?

• 13 meters

• 14 meters

• 10 meters

• 12 meters

If the hypotenuse is 13 meters, what is the length of the other leg that is 1 meter shorter than the hypotenuse?

• 10 meters

• 11 meters

• 12 meters

• 13 meters

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

• Base - Height

• Base + Height

• Base * Height / 2

• Base * Height

If the base of a right triangle is 5 meters and the height is 12 meters, what is the area?

• 120 square meters

• 60 square meters

• 90 square meters

• 30 square meters

What is the result of multiplying the base and height of a right triangle before dividing by 2 to find the area?

• 90

• 120

• 60

• 30