Understanding Triangle Area Formulas

The video tutorial introduces the basic formula for calculating the area of a triangle using its base and height. It highlights the limitations of this formula when the altitude is not provided and introduces Heron's formula as an alternative. The tutorial explains how to calculate the semi-perimeter and use Heron's formula to find the area of triangles and quadrilaterals. It also credits Heron for the formula and mentions its proof in his book 'Metrica'.

What is the formula used to calculate the area of a triangle when its base and height are known?

• 1/2 × Base × Height

• Base × Height

• Base - Height

• Base + Height

Why can't the basic triangle area formula be used for all triangles?

• It requires the perimeter of the triangle.

• It is only applicable to equilateral triangles.

• It only works for right-angled triangles.

• It requires the altitude, which may not be given.

What is Heron's formula used for?

• Finding the perimeter of a triangle

• Determining the type of triangle

• Calculating the area of triangles without given altitude

• Calculating the volume of a triangle

What additional concept will you learn in this chapter besides Heron's formula?

• Calculating the volume of a quadrilateral

• Calculating the semi-perimeter of a triangle

• Finding the hypotenuse of a triangle

• Determining the type of quadrilateral

Who is credited with Heron's formula?

• Heron, the ancient geometer

• Pythagoras

• Euclid

• Archimedes