Math CentralQuandaries & Queries


Subject: Finding the height of a triangle
Name: Shanelle
Who are you: Student

Hey, I'm trying to find the height of a triangle but i only know the base and one of the sides as well as the angle between those two sides...but how can i find the height?

Hi Shanelle,


In the diagram h is the height so triangle PQS is a right triangle. Thus

sin(t) = h/a

Hence if you know the angle t and the length a you can find h, h = a sin(t).


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