Triangle Properties and Pythagorean Theorem

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 problem involves a triangle with one leg measuring 5 meters and the other leg being 1 meter shorter than the hypotenuse. The tutorial walks through solving the equation to find the hypotenuse and then uses the base and height to find the area.

What is the longest side of a right triangle called?

• Height

• Leg

• Base

• Hypotenuse

In a right triangle, if one leg is labeled as 5 meters, what can the other leg be labeled as?

• 5 meters

• 6 meters

• C - 1 meters

• C + 1 meters

What is the relationship between the sides of a right triangle according to the Pythagorean theorem?

• a^2 = b^2 + c^2

• a + b = c

• a^2 + b^2 = c^2

• a^2 + b^2 = c

If one leg of a right triangle is 5 meters and the other leg is 1 meter shorter than the hypotenuse, what is the expression for the other leg?

• C

• C - 1

• C + 1

• 5

What is the first step in solving the equation for the hypotenuse?

• Divide both sides by 2

• Multiply both sides by 2

• Add 5 to both sides

• Subtract c^2 from both sides

After simplifying the equation, what is the value of 2C?

• 12

• 13

• 5

• 26

What is the length of the hypotenuse in the given problem?

• 10 meters

• 5 meters

• 13 meters

• 12 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 the triangle is 5 meters and the height is 12 meters, what is the area of the triangle?

• 30 square meters

• 60 square meters

• 50 square meters

• 25 square meters

What is the base of the triangle in the given problem?

• 12 meters

• 10 meters

• 5 meters

• 13 meters