Transum Software

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.

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
The area of a triangle with base of length 8cm is 20cm². Calculate its height in centimetres.	cm
A right angled triangle has sides of length 12cm, 16cm and 20cm. Calculate its area in square centimetres.	cm²
The area of the large triangle is four times the small triangle. Calculate the height of the small triangle.	cm
The area of a triangle is 189cm². The height of the triangle is 3cm longer than the base. How long is the base?	cm
Transum Sails Ltd make triangular shaped sails that have bases 5.2m and heights 3.4m. They currently have in stock 198.18 square metres of the material used to make the sails. Assuming there is no waste, how many complete sails can they make?
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
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
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
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

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

Instructions 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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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:	Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.	It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B!
Twitter, Wednesday, April 19, 2017 @Transum This is a great resource for practicing problem solving with triangles. Thanks transum — Mrs Karen Richardson (@karichimaths) April 16, 2017 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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Description of Levels

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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.

Example

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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