Calculating Triangle Area Without Height

The video tutorial addresses a common problem in calculating the area of a triangle without a height. Initially, the traditional formula of 1/2 base times height is discussed, highlighting its limitation when the height is not available. The instructor then introduces a lesser-known formula, Heron's formula, which allows for the calculation of a triangle's area using only the lengths of its sides. The video provides a detailed explanation and example of how to apply this formula. The tutorial concludes with a mention of additional resources for further learning.

What was the main problem the narrator faced with calculating the area of a triangle?

• The triangle had no height.

• The triangle had no sides.

• The triangle was not a right triangle.

• The triangle had no base.

What is the traditional formula for calculating the area of a triangle?

• Base plus height

• 1/2 base times height

• Base times height

• Base minus height

Why was the traditional formula not applicable in the narrator's problem?

• The base was unknown.

• The height was missing.

• The sides were unequal.

• The triangle was not equilateral.

What is the alternative formula for finding the area of a triangle without height?

• 1/2 * base * height

• s * (s - a) * (s - b) * (s - c)

• a + b + c

• a * b * c

In the alternative formula, what does 's' represent?

• The sum of the sides

• The semi-perimeter of the triangle

• The height of the triangle

• The base of the triangle

How is 's' calculated in the alternative formula?

• a - b - c

• a * b * c

• 1/2 * (a + b + c)

• a + b + c

What is the first step in using the alternative formula?

• Calculate the perimeter

• Find the semi-perimeter

• Multiply the sides

• Subtract the sides

What should be done after calculating 's' in the alternative formula?

• Subtract each side from 's'

• Add the sides

• Divide by the number of sides

• Multiply the sides

What is the final step in the alternative formula calculation?

• Subtract the smallest side

• Multiply and take the square root

• Add all the results

• Divide by the number of sides

What is the significance of the alternative formula?

• It only works for right triangles.

• It can be used for any shape.

• It allows calculation without height.

• It is simpler than the traditional formula.