Math CentralQuandaries & Queries


Question from Zack, a student:

How would i calculate the height of a triangle if the base is 10cm and the area is 50cm²?
If possible how would i calculate the length around the the triangle.

Hi Zack,

The area of a triangle is given by the expression

area = 1/2 × base × height

You know the area and the base measurements so if you substitute these values into the expression above you can solve for the height.

The distance around a triangle is called its perimeter. In my diagram below I have 4 triangles, all with the same height and base and yet the perimeters are quite different.



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