Heron's Formula and Triangle Properties

This video tutorial explains how to find the area of a scalene triangle using Heron's formula. It begins by defining different types of triangles, including scalene, isosceles, and equilateral. The tutorial then introduces Heron's formula, which requires calculating the semi-perimeter (s) of the triangle. A step-by-step example is provided, demonstrating how to calculate the area using given side lengths. The video concludes with a review of the process and provides both exact and approximate area values.

What is a scalene triangle?

• A triangle with all sides equal

• A triangle with two sides equal

• A triangle with all sides different

• A triangle with a right angle

Which formula is used to find the area of a scalene triangle?

• Pythagorean Theorem

• Heron's Formula

• Sine Rule

• Area = base x height / 2

How do you calculate the semi-perimeter (s) of a triangle?

• Subtract the smallest side from the largest

• Multiply all sides and divide by 2

• Add all sides and divide by 2

• Add all sides and divide by 3

If the sides of a triangle are 15, 16, and 19, what is the semi-perimeter?

• 25

• 31

• 50

• 20

What is the next step after finding the semi-perimeter in Heron's formula?

• Calculate the square of the semi-perimeter

• Subtract each side from the semi-perimeter

• Multiply the semi-perimeter by the largest side

• Divide the semi-perimeter by the smallest side

Which of the following is a perfect square?

• 6

• 10

• 9

• 15

What is the exact area of the triangle with sides 15, 16, and 19?

• 30 times the square root of 15 square units

• 116.19 square units

• 50 square units

• 30 square units

What is the approximate area of the triangle in decimal form?

• 100 square units

• 116.19 square units

• 90.5 square units

• 150 square units

What is the first step in using Heron's formula?

• Calculate the area directly

• Find the semi-perimeter

• Multiply all sides together

• Subtract the smallest side from the largest

What should you do after calculating the semi-perimeter and before finding the area?

• Multiply the semi-perimeter by 2

• Add all sides again

• Simplify the radical expression

• Divide the semi-perimeter by 3