If the base of this triangle became 8cm but the other sides remained 5cm, how much would its area increase?
Topics: Starter  Area  Mensuration  Problem Solving  Pythagoras
How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.
If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:
This starter has scored a mean of 2.8 out of 5 based on 172 votes.
Previous Day  This starter is for 5 August  Next Day
Can you find another pair of triangles that, like those above, surprisingly have the same areas?
What is the length of the base which gives the triangle mentioned above the maximum area?
Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a related student activity.
A first thought might be that the graph of area against length of base is symetrical but it is not. A graphic calculator will help you identify equalarea bases and the length of base giving the maximum area: