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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 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School: "This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register." |
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 ActivityNumber Crunch Saga A lively numeracy game requiring you to align three numbers to create the given target sum or product. There are five levels to this online game 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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❎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.
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