Applying herons formula to find the area of a triangle

The video tutorial guides students through solving a mathematical problem by calculating the value of S, which involves taking the sum of side lengths and dividing by two. The instructor emphasizes the importance of showing calculations to receive partial credit. The tutorial then demonstrates how to find the area using a provided formula, solving and simplifying the equation step-by-step. The instructor also addresses common mistakes and clarifies the process to ensure students understand the methodology.

Why is it important to show your calculation of S when solving a problem?

• To ensure you receive full credit

• To demonstrate understanding of the formula

• To avoid heavy penalties for incorrect answers

• To make the teacher's job easier

How do you calculate the value of S in a triangle?

• Subtract the smallest side from the largest and divide by two

• Multiply all side lengths and divide by two

• Add all side lengths and divide by two

• Add all angles and divide by two

What is the value of S for a triangle with side lengths 7, 5, and 4?

• 8

• 7

• 9

• 10

What is the next step after calculating S to find the area of a triangle?

• Add S to the perimeter of the triangle

• Divide S by the number of sides

• Subtract each side length from S and multiply the results

• Multiply S by the sum of the angles

What is the approximate square root of 96, as calculated in the example?

• 9.8

• 8.5

• 10.2

• 11.3