SOLUTION: 1) find the area of an equilateral triangle whose side lengths are 15 m. 2) x ----------- --! !n . ! x !s . ! ! . !

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Question 203896This question is from textbook Discovering geometry an investigative approach
: 1) find the area of an equilateral triangle whose side lengths are 15 m.
2) x
--------------!
!n . !
x !s . !
! . !
!shaded part !
! !
----------------
!_______10_______!
Find the value of x in the picture that makes the shaded area equal 7/8 the area of the whole square.
** ns= not shaded area in the picture.
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This question is from textbook Discovering geometry an investigative approach

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1) find the area of an equilateral triangle whose side lengths are 15 m.
If you draw an altitude from any vertex, it makes a right triangle with sides of 15 m and 15/2 meters. The altitude is sqrt(15^2 - (15/2)^2)
Alt = 15*sqrt(3)/2
Area = b*h/2 = 15*15sqrt(3)/2
Area = 225sqrt(3)/4 sq meters
-----------------------------
2) x
--------------!
!n . !
x !s . !
! . !
!shaded part !
! !
----------------
!_______10_______!
Find the value of x in the picture that makes the shaded area equal 7/8 the area of the whole square.
There's no figure, I have no idea what this is about.