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Area of a Triangle

A self-marking exercise on finding the areas of triangles and using the area formula to solve related problems.

Level 1 Level 2 Level 3 Exam-Style Description Help More Area

This is level 2: use the triangle area formula to solve related problems. You can earn a trophy if you get at least 7 questions correct.

Warning Triangle
A red triangle with a base of 5.6cm and a height of 4.8cm has a trangular shaped hole cut out. The base and height of the triangular hole are half the base and height of the original red triangle respectively. What is the remaining area of the red triangle (to two decimal places)?
cm2 Correct Wrong
The area of a triangle with base of length 6cm is 12cm2. Calculate its height in centimetres. cm Correct Wrong
A right angled triangle has sides of length 6cm, 8cm and 10cm. Calculate its area in square centimetres. cm2 Correct Wrong
Similar Triangles
The area of the large triangle is four times the small triangle. Calculate the height of the small triangle.
cm Correct Wrong
The area of a triangle is 230cm2. The height of the triangle is 3cm longer than the base. How long is the base? cm Correct Wrong
Sailing dinghy
Transum Sails Ltd make triangular shaped sails that have bases 5.2m and heights 3.4m. They currently have in stock 234.64 square metres of the material used to make the sails. Assuming there is no waste, how many complete sails can they make?
Correct Wrong
The area of a one triangle is 20cm2 more than the area of a second triangle. Both triangle are of the same height. If the base of the first triangle is 12cm and the base of the second triangle is 10cm find the height of the triangles. cm Correct Wrong
Percy makes a kite from a rectangular piece of material (56cm by 102cm) by cutting a triangle from each corner of the rectangle. The kite's dimensions are shown in the diagram. What is the total area of the four triangles cut off as waste?
cm2 Correct Wrong
A triangle has an area of one square metre. The length of its base is 250cm. Find the height of the triangle giving your answer in milimetres! mm Correct Wrong
Find the length of one side of a regular octagon if its area is 309cm2 and the distance between parallel sides is 19.3cm. Give your answer correct to the nearest whole number.
cm Correct Wrong

This is Area of a Triangle level 2. You can also try:
Level 1 Level 3


Try 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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Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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Practice Papers

Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.


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Go Maths

Learning 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.

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Are 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.


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:


Wednesday, April 19, 2017

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Description of Levels



Level 1 - Find the area of triangles given their bases and heights

Level 2 - Use the triangle area formula to solve related problems

Level 3 - Find the areas of triangles using the sine formula.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

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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This video is from the wonderful Corbettmaths. Enjoy!

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.

Log in Sign up