Answer:
[tex]Area\ of\ a\ trinagle = \frac{5}{12}x^2[/tex] [tex]or\ 0.42x^2[/tex]
Step-by-step explanation:
Given:
Height of the triangle [tex]h = x[/tex]
Base of the triangle [tex]b=\frac{5}{6}x[/tex]
We need to find the area of the triangle.
Solution:
Using given Formula:
[tex]Area\ of\ a\ trinagle = \frac{1}{2}bh[/tex]
Where:
b = Base of the triangle.
h = Height of the triangle.
Substitute [tex]h = x[/tex] and [tex]b=\frac{5}{6}x[/tex] in equation in given formula.
[tex]Area\ of\ a\ trinagle = \frac{1}{2}(\frac{5}{6})x\times x[/tex]
[tex]Area\ of\ a\ trinagle = \frac{5}{12}x^2[/tex]
[tex]Area\ of\ a\ trinagle =0.42x^2[/tex]
Therefore, Area of the triangle is [tex]\frac{5}{12}x^2[/tex] or [tex]0.42x^2[/tex].
