Using herons formula to determine the area of a triangle

Using herons formula to determine the area of a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use Heron's formula to calculate the area of a triangle when all three side lengths are known. It begins by calculating the semi-perimeter (S) by adding the side lengths and dividing by two. The instructor then demonstrates how to substitute these values into Heron's formula to find the area, using a calculator to ensure accuracy. The process involves multiplying the semi-perimeter by the differences between the semi-perimeter and each side length, followed by taking the square root of the result. The tutorial concludes with a final area calculation and a brief Q&A session.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in using Heron's formula when you know all three side lengths of a triangle?

Compute the area directly

Determine the height

Find the semi-perimeter (S)

Calculate the perimeter

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the semi-perimeter (S) of a triangle with side lengths a, b, and c?

a * b * c

(a + b + c) / 2

a + b + c

(a * b * c) / 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Heron's formula, what operation is performed after substituting the values into the formula?

Addition

Subtraction

Multiplication

Division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in calculating the area using Heron's formula?

Add all the products

Multiply the product by 2

Take the square root of the product

Divide the product by 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After calculating the area using Heron's formula, what should you do with the result?

Round it to two decimal places

Convert it to a percentage

Round it to the nearest whole number

Leave it as is