Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.

Answer:
[tex]Area=\frac{5}{12}x^2[/tex]
Step-by-step explanation:
The area of a triangle is given by:
[tex]Area=\frac{1}{2}*base*height[/tex]
From the diagram [tex]base=\frac{5}{6}x,and,height=x[/tex]
We substitute into the formula to get:
[tex]Area=\frac{1}{2}*\frac{5}{6}x*x[/tex]
This implies that:
[tex]Area=\frac{5}{12}x^2[/tex]