Answer:
9 cm
Step-by-step explanation:
Area of a triangle is 1/2(base*height)
Area=18
Base=4
So 1/2(4*h)=18
2h=18
h=18/2=9
[tex] \bf \underline{ \underline{Given : }}[/tex]
[tex] \bf \underline{ \underline{To \: find \: out : }}[/tex]
Find the height of a given triangle.
[tex] \bf \underline{ \underline{Solution : }}[/tex]
We know that,
[tex] \sf \: Area \: of \: traingle = \dfrac{1}{2} \times base \times height[/tex]
[tex] \sf \red \star \: Substituting \: the \: values ..[/tex]
[tex] \sf \implies18 = \dfrac{1}{ \cancel{2}} \times { \cancel4 }\times height[/tex]
[tex] \sf \implies \: 18 = 2 \times height[/tex]
[tex] \sf\implies \: height = \cancel\dfrac{18}{2} [/tex]
[tex] \sf\implies \: height = 9 \: cm[/tex]
[tex] \sf\therefore \: The \: height \: of \: triangle \: is \: 9 \: cm.[/tex]
