Respuesta :

The area of the triangle is [tex]\frac{5}{12}x^2[/tex]

Explanation:

Given that the base of the triangle is [tex]\frac{5}{6}x[/tex]

The height of the triangle is x

We need to determine the area of the triangle

Area of the triangle can be determined using the formula,

[tex]Area=\frac{1}{2} b h[/tex]

Substituting the values [tex]b=\frac{5}{6}x[/tex] and [tex]h=x[/tex], we get,

[tex]Area=\frac{1}{2} (\frac{5}{6} x)x[/tex]

Multiplying the terms, we get,

[tex]Area =\frac{5}{12}x^2[/tex]

Thus, the area of the triangle is [tex]\frac{5}{12}x^2[/tex]

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