Quandaries and Queries


I have to calculate the height of a triangle.
The base is 6 (units)say ab
One of the top sides is 4 (units)say ca
The other side is 2 (units) say cb
I don't know the angles.

How to find the height?




The way to approach this problem is to use Heron's Formula. This is an expression for the area of a triangle that uses only the lengths of the three sides. You can find the area using Heron's formula and then solve the equation

(Area from Heron's formula) = 1/2 (base ab) height

for h.

For your example I would first draw an accurate diagram of the triangle.

Chris and Penny


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