Delroy’s sailboat has two sails that are similar triangles. The larger sail has sides of 10 feet, 24 feet, and 26 feet. If the shortest side of the smaller sail measures 6 feet, what is the perimeter of the smaller sail?

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Answer 1 · 2016-01-02T19:54:42

#P=36 ft.#

If the 2 triangles are similar then this proportion is valid:
#A/a=B/b=C/c#
In case
#10/6=24/b=26/c#

To find b
#10/6=24/b# => #b= (24 xx 6)/10=14.4#

To find c
#10/6=26/c# => #c=(26 xx 6)/10=15.6#

Perimeter
#P=a+b+c=6+14.4+15.6=36#