In this video, Ryan Malloy explains how to determine the side lengths of an isosceles triangle when given the total area and one side length. The video begins by discussing the problem and assumptions, then walks through an example where the area is 12 square inches and the base is 6 inches. By using the area formula, the height is calculated. The video then explores the properties of right triangles and applies the Pythagorean theorem to find the missing side length. The solution is recapped, demonstrating how to find the side lengths with the given information.

What is the main problem discussed in the video?

• Finding the area of a triangle with given side lengths

• Determining the type of triangle based on angles

• Calculating the perimeter of a triangle

• Finding the side lengths of a triangle with given area and one side

Why is additional information needed to find the side lengths of a triangle?

• Because the base length is always unknown

• Because multiple triangles can have the same area and one side length

• Because the height is always given

• Because triangles can have different angles

What assumption is made about the triangle to solve the problem?

• The triangle is equilateral

• The triangle is right-angled

• The triangle is scalene

• The triangle is isosceles

In the example problem, what is the given area of the triangle?

• 12 square inches

• 16 square inches

• 10 square inches

• 14 square inches

What is the given base length of the triangle in the example?

• 4 inches

• 7 inches

• 5 inches

• 6 inches

Which formula is used to find the height of the triangle?

• Height = base x area / 2

• Area = base x height

• Perimeter = sum of all sides

• Area = base x height / 2

What is the calculated height of the triangle in the example?

• 5 inches

• 4 inches

• 3 inches

• 6 inches

How does the height divide the triangle?

• Into two equal triangles

• Into two right triangles

• Into two equilateral triangles

• Into two scalene triangles

What is the length of the base of each right triangle formed?

• 3 inches

• 2 inches

• 4 inches

• 5 inches

Which theorem is used to find the missing side length?

• Pythagorean theorem

• Sine rule

• Cosine rule

• Area theorem