The length of the base of a triangle with the given area and height is equal to [tex]8\ cm[/tex].
What is triangle?
" Triangle is defined as the two dimensional geometric shape with three vertices, three sides, and three interior angles enclosed in it."
Standard formula
Area of the triangle [tex]\frac{1}{2} \times base \times height[/tex]
According to the question,
Given,
Given formula of the area of the triangle [tex]= bh[/tex]
[tex]'b'[/tex] represents the base of a triangle
[tex]'h'[/tex] represents the height of a triangle
Area of the triangle [tex]= 32 \ cm^{2}[/tex]
Height of the triangle [tex]= 4 \ cm[/tex]
Substitute the value in the given formula we get,
[tex]32= b\times 4\\\\\implies b = \frac{32}{4} \\\\\implies b = 8 \ cm[/tex]
From standard formula
[tex]32 = \frac{1}{2} \times base \times 4\\\\\implies base = \frac{32\times 2}{4}\\ \\\implies base = 16 \ cm[/tex]
Hence, Option(B) is the correct answer.
Learn more about triangle here
brainly.com/question/2773823
#SPJ2
