Area of the triangle [tex]=\frac{5}{12}\ x^2[/tex]
Solution:
Base of the triangle = [tex]\frac{5}{6}x[/tex]
Height of the triangle = [tex]x[/tex]
Formula for the area of the triangle:
Area of the triangle = [tex]\frac{1}{2}\ {bh}[/tex]
Substitute base and height in the formula of the area of the triangle.
[tex]$=\frac{1}{2}\ \times\frac{5}{6}x\times x[/tex]
Using exponential rule: [tex]a^m\timesa^n=a^{m+n}[/tex] so that [tex]x^{1+1}=x^2[/tex]
[tex]$=\frac{5}{12}\ x^2[/tex]
Hence area of the triangle [tex]=\frac{5}{12}\ x^2[/tex].
