Y=? What is Y? Please help me!

Answer: y = 6 mi. .
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Explanation:
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Area of a triangle = (½) * (base) * (height) ;

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

24.3 mi ² = (½) * (8.1 mi) *(h) ;
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Solve for "h" (height) ;
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(½) * (8.1 mi) = 4.05 mi ;
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Rewrite:
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24.3 mi² = (4.05 mi) *(h) ; Solve for "h" ;
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Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ;
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24.3 mi² / 4.05 mi = (4.05 mi) *(h) / 4.05 mi ;

→ 6 mi = h ; ↔ h = 6 mi.

→ h = y = 6 mi.
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altavistard altavistard · Answer 2 · 2017-02-18T06:00:25+01:00

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.