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Heron's FormulaUse the lengths of the three sides of a triangle to calculate the area. |
This is level 1: calculations involving whole numbers which can be done without a calculator. You will be awarded a trophy if you get at least 3 answers correct and you do this activity online.
The diagrams are not drawn to scale
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. |
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million." Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." |
Whose Idea Was This?Did you enjoy doing this 'Heron's Formula' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept. 
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Featured ActivityThree Ways Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level. |
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Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic. | ||
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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows: |
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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. |
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❎Level 1 - Calculations involving whole numbers which can be done without a calculator
Level 2 - Calculations for which a calculator is required
Level 3 - Mixed problems
More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.
Given a triangle with sides \(a\), \(b\), and \(c\), follow these two steps to calculate its area:
Calculate the semi-perimeter \(s\) using the formula:
$$s = \frac{a + b + c}{2}$$Where \(s\) is half the perimeter of the triangle.
Use Heron's Formula to calculate the area \(A\) of the triangle:
$$A = \sqrt{s(s-a)(s-b)(s-c)}$$Where \(A\) is the area of the triangle.
By following these two steps, you can calculate the area of any triangle when you know the lengths of its three sides.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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