Isosceles Triangle Properties and Calculations

The video tutorial covers the application of the Pythagorean theorem on isosceles triangles. It demonstrates how to calculate the height, perimeter, and area of these triangles using given side lengths. The tutorial includes two examples, providing step-by-step calculations and explanations. The first example involves a triangle with sides 10, 26, and a calculated height of 24, leading to a perimeter of 72 feet and an area of 240 square feet. The second example uses a triangle with sides 17, 17, and 16, resulting in a perimeter of 50 feet and an area of 120 square feet. The video concludes with a summary of the concepts covered.

What happens to an isosceles triangle when an altitude is dropped?

• It remains unchanged.

• It becomes a scalene triangle.

• It splits into two congruent triangles.

• It becomes a right triangle.

Which property is used to prove the congruence of the two triangles formed?

• SSS (Side-Side-Side)

• SAS (Side-Angle-Side)

• ASA (Angle-Side-Angle)

• HL (Hypotenuse-Leg)

How do you calculate the height of an isosceles triangle using the Pythagorean theorem?

• By adding the squares of the base and hypotenuse.

• By subtracting the square of the height from the square of the hypotenuse.

• By subtracting the square of the base from the square of the hypotenuse.

• By adding the squares of the base and height.

What is the perimeter of an isosceles triangle with sides 26, 26, and 20?

• 52 feet

• 70 feet

• 66 feet

• 72 feet

How is the area of an isosceles triangle calculated?

• Base plus height

• Half of base times height

• Base times height

• Base minus height

What is the perimeter of the second isosceles triangle with sides 17, 17, and 16?

• 50 feet

• 40 feet

• 54 feet

• 60 feet

What is the length of the height in the second isosceles triangle problem?

• 16

• 17

• 8

• 15

What is the area of the second isosceles triangle with a base of 16 and height of 15?

• 130 feet squared

• 240 feet squared

• 120 feet squared

• 150 feet squared