The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, what is the length of the shortest side of this triangle?

1 Answer
Shwetank Mauria
Mar 5, 2017

Shortest side of the second triangle is #16#.

Explanation:

The sides of one triangle measure #7#, #4#, and #9#. his s similar to another triangle, whose longest side is #36#.

As similar triangles have proportional sides, longest side of second triangle must be proportional to longest side of first and shortest side of second triangle must be proportional to shortest side of first.

Let the length of the shortest side of second triangle be #x# and as shortest side of first is #4#, we have

#x/4=36/9#

or #x=36/9xx4=(cancel36^4)/(cancel9^1)xx4=16#

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