Respuesta :

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]