Understanding Isosceles Triangle Calculations

The video tutorial explains how to find the side length of an isosceles triangle using a specific formula derived from the Pythagorean theorem. It introduces triangle ABC, describes the relationship between its sides and angles, and demonstrates the calculation process. The tutorial also covers simplifying the result and presents an alternative method using the Pythagorean theorem directly.

What is the relationship between the vertices and sides in an isosceles triangle?

• Each vertex is opposite a different angle.

• Vertices are always equal in length.

• Vertices are not related to the sides.

• Each vertex is opposite a side of equal length.

Which theorem is the formula for finding the side length of an isosceles triangle based on?

• Pythagorean theorem

• Area formula

• Sine rule

• Cosine rule

What is the first step in applying the formula to find the side length of an isosceles triangle?

• Multiply the base by the height.

• Calculate the square of the base divided by 4.

• Subtract the height from the base.

• Add the base and height.

What is the result of simplifying 64 divided by 4?

• 16

• 32

• 8

• 4

How can the result of the formula be further simplified?

• By subtracting 4.

• By dividing by 2 repeatedly.

• By adding 10.

• By multiplying by 2.

What is the alternative method to find the side length of an isosceles triangle?

• Using the area formula

• Using the sine rule

• Using the cosine rule

• Using the Pythagorean theorem

In the alternative method, what is the length of each half of the base?

• 2

• 10

• 8

• 4

What is the height used in the alternative method?

• 4

• 8

• 10

• 16

What is the final simplified form of the side length using the alternative method?

• 2√29

• √58

• 4√29

• √116

What is the purpose of using the alternative method?

• To calculate the perimeter.

• To find the area of the triangle.

• To determine the angles.

• To verify the result obtained from the formula.