SOLUTION: If you build a deck in the shape of an equilateral triangle with a height of 27ft, how long is one side of the deck?

Algebra.Com
Question 1072904: If you build a deck in the shape of an equilateral triangle with a height of 27ft, how long is one side of the deck?
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
If by "height" is meant "altitude", then this being in the plane of the deck. cuts this equilateral triangle shape into two congruent special 30-60-90 right triangles.

Do you see? Pythagorean Theorem, and hypotenuse is the length of one side of the deck.


-
Half the equilateral triangle, special 30-60-90
leg, 27 feet
leg, x
hypotenuse, 2x
-







-
side of the equilateral triangle,

RELATED QUESTIONS

The area of a square deck is 38 ft squared. Approximately how long is one side length of... (answered by Alan3354)
You bend a drinking straw into the shape of an equilateral triangle. Each side is 4.5 cm... (answered by jackspratt999)
A window is in the shape of an equilateral triangle with a height of 12ft. To the nearest (answered by ankor@dixie-net.com)
A garden plot is in the shape of an equilateral triangle. The shortest distance from one... (answered by josmiceli)
A home builder wants to build a rectangular deck on the back of the house. One side of... (answered by Alan3354,ankor@dixie-net.com)
A road sign indicating falling rocks is in the shape of an equilateral​ triangle,... (answered by Alan3354)
find the area of the triangle with a base of 27ft and height of 24 ft? (answered by rfer)
if an equilateral triangle has a perimeter of (2x+9)miles and one side of the triangle... (answered by mananth)
I do not know how to set up this problem. Can anyone help me? Two frames are needed... (answered by nerdybill,scott8148)