Using heron's formula to find the area of a triangle

The video tutorial explains how to find the area of a triangle using Heron's formula. It begins by introducing the problem of calculating the area with given side lengths and then explains Heron's formula, which involves calculating the semi-perimeter and using it to find the area. The tutorial provides a step-by-step guide to applying the formula, including calculating the semi-perimeter and substituting values into the formula. The video concludes with a reminder that the formula will be provided on a reference sheet.

What is the main challenge in finding the area of the triangle with given side lengths a, b, and c?

• The height of the triangle is not provided.

• The triangle is not drawn to scale.

• The angles of the triangle are unknown.

• The side lengths are not integers.

What is the first step in applying Heron's formula to find the area of a triangle?

• Draw the triangle to scale.

• Determine the angles of the triangle.

• Calculate the height of the triangle.

• Find the semi-perimeter of the triangle.

How is the semi-perimeter (s) of a triangle calculated in Heron's formula?

• By adding the side lengths and dividing by 3.

• By multiplying the side lengths and dividing by 2.

• By adding the side lengths and dividing by 2.

• By subtracting the smallest side length from the largest.

Which of the following expressions represents the area of a triangle using Heron's formula?

• s * (s - a) * (s - b) * (s - c)

• Square root of s * (s - a) * (s - b) * (s - c)

• s + (s - a) + (s - b) + (s - c)

• Square root of (a^2 + b^2 + c^2)

What is the final calculated area of the triangle using Heron's formula in the example provided?

• 264 units squared

• 22 units squared

• 11.5 units squared

• 16.24 units squared