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Marina CMI [18]
3 years ago
9

Y=? What is Y? Please help me!

Mathematics
2 answers:
kumpel [21]3 years ago
7 0
Answer:   y = 6 mi.  .
______________________________________________
Explanation:
______________________________________________
Area of a triangle = (½) * (base) * (height) ;

or,  A = (½) * b * h ;  or,  A = b*h / 2 ;
_____________________________________
Given:  A = 24.3 mi ² ;
           b = 8.1 mi 
___________________
Find the height, "h" ;  (in units of "miles", or , "mi" ).
__________________________
   Plug in the known values into the formula:

24.3 mi ² = (½) * (8.1 mi) *(h) ;
_____________________________
Solve for "h" (height) ;
_____________________________
(½) * (8.1 mi) = 4.05 mi  ;
______________________________
Rewrite: 
____________________________
24.3 mi² = (4.05 mi) *(h) ;  Solve for "h" ;
_________________________________________
 Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ; 
__________________________________________
   24.3 mi²  / 4.05 mi  = (4.05 mi) *(h)  / 4.05 mi ;
                                 
              →  6 mi  = h ;  ↔  h = 6 mi. 

              →      h = y = 6 mi. 
____________________________________________
Anna11 [10]3 years ago
7 0
I'd suggest you begin with the formula for the area of a triangle of base b and height h.  It is as follows:

         bh
A = --------
          2

Here b is the length of the base and h is the height of the triangle.
In this problem the area and the base are given; they are 24.3 square miles and 8.1 miles respectively. We are to determine the height, y.

                                                                                          2A  
Solve the above equation for h, the height:  2A=bh, or  -------
                                                                                            b

Substitute (24.3 square miles) for A and 8.1 miles for b.

Calculate y (or, equivalently, calculate h).  Both represent the height of the given triangle.
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