Question

The formula for area of a triangle is a =1/2bh, where a is the area, b is the length of the base of the triangle, and h is its height. if a triangle has an area of 96 square inches with a base of 12 inches, what is its height? show your work and write your final answer in the form of a sentence

Answer 1

The height of the triangle is sixteen (16) inches.
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A = (1/2) * b * h ; Find "h" 


A / [ (1/2) * b ]  = h ;

h = 2A / b ;

Given: A = 96 in² ;
           b = 12 in. ;

Plug in these given values to solve for "h" ;

h = [ (2)*(96 in²) ] / 12 in. =  ?

Note:  2 ÷ 12 = 1/6 ; 
 
So, rewrite as:

h = (96 in² / 6 in.) = 16 in.
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