# SOLUTION: how do i find both the area and height of an equalateral triangle with all sides 5.4 yeards

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 Click here to see ALL problems on Triangles Question 604340: how do i find both the area and height of an equalateral triangle with all sides 5.4 yeardsAnswer by stanbon(57407)   (Show Source): You can put this solution on YOUR website! how do i find both the area and height of an equilateral triangle with all sides 5.4 yeards ------ Sketch the triangle. Draw an altitude from a vertex perpendicular to the opposite side. --- The altitutde bisects the base. --- You have 2 right triangles with base = 5.4/2 = 2.7, height = h, and hypotenuse = 5.4 --- Use Pythagoras to get: h^2 + 2.7^2 = 5.4^2 h^2 = 5.4^2-2.7^2 height = 4.68 --- Area = (1/2)base*height = (1/2)5.4*4.68 = 12.63 sq. units ==================================== Cheers, Stan H.